{"id":14173,"date":"2022-04-05T10:32:42","date_gmt":"2022-04-05T05:02:42","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=14173"},"modified":"2022-04-07T11:10:24","modified_gmt":"2022-04-07T05:40:24","slug":"big-ideas-math-answers-grade-4-chapter-8","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-4-chapter-8\/","title":{"rendered":"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions"},"content":{"rendered":"<p>Are you looking online to get Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions? Then, you have reached the right place. Don\u2019t bother as we have included the best preparation resources for all of the students here in detail. Make the most use of these math books, study materials, and Big Ideas Math Grade 4 Chapter 8 Add and Subtract Fractions to get the best preparation. Stand out from the rest of the crowd using our <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-4\/\">Big Ideas Math Answers Grade 4<\/a> Chapter 8 Add and Subtract Fractions. Download the Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions pdf PDF for free now and prepare from anywhere and anytime.<\/p>\n<h2>Big Ideas 4th Grade Math Book Chapter 8 Add and Subtract Fractions Answer Key<\/h2>\n<p>Big Ideas Math Chapter 8 Add and Subtract Fractions Questions are provided as per the updated syllabus guidelines. Also, the answers and explanations are given by highly subject expertise people. Furthermore, the Big Ideas Grade 4 Chapter 8 Math Answer key covers assignment tests, questions from exercises, practice tests, etc. Prepare the topics you wish to prepare and you feel the lag. The below quick links will help you to find each and every concept along with questions.<\/p>\n<p><strong>Lesson 1: Use Models to Add Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.1_Use_Models_to_Add_Fractions\">Lesson 8.1 Use Models to Add Fractions<\/a><\/li>\n<li><a href=\"#Use_Models_to_Add_Fractions_Homework_&amp;_Practice_8.1\">Use Models to Add Fractions Homework &amp; Practice 8.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Decompose Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.2_Decompose_Fractions\">Lesson 8.2 Decompose Fractions<\/a><\/li>\n<li><a href=\"#Decompose_Fractions_Homework_&amp;_Practice_8.2\">Decompose Fractions Homework &amp; Practice 8.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Add Fractions with Like Denominators<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.3_Add_Fractions_with_Like_Denominators\">Lesson 8.3 Add Fractions with Like Denominators<\/a><\/li>\n<li><a href=\"#Add_Fractions_with_Like_Denominators_Homework_&amp;_Practice_8.3\">Add Fractions with Like Denominators Homework &amp; Practice 8.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Use Models to subtract Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/Lesson_8.4_Use_Models_to_subtract_Fractions\">Lesson 8.4 Use Models to subtract Fractions<\/a><\/li>\n<li><a href=\"#Use_Models_to_subtract_Fractions_Homework_&amp;_Practice_8.4\">Use Models to subtract Fractions Homework &amp; Practice 8.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Subtract Fractions with Like Denominators<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.5_Subtract_Fractions_with_Like_Denominators\">Lesson 8.5 Subtract Fractions with Like Denominators<\/a><\/li>\n<li><a href=\"#Subtract_Fractions_with_Like_Denominators_Homework_&amp;_Practice_8.5\">Subtract Fractions with Like Denominators Homework &amp; Practice 8.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6: Model Fractions and Mixed Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.6_Model_Fractions_and_Mixed_Numbers\">Lesson 8.6 Model Fractions and Mixed Numbers<\/a><\/li>\n<li><a href=\"#Model_Fractions_and_Mixed_Numbers_Homework_&amp;_Practice_8.6\">Model Fractions and Mixed Numbers Homework &amp; Practice 8.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7: Add Mixed Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.7_Add_Mixed_Numbers\">Lesson 8.7 Add Mixed Numbers<\/a><\/li>\n<li><a href=\"#Add_Mixed_Numbers_Homework_&amp;_Practice_8.7\">Add Mixed Numbers Homework &amp; Practice 8.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 8: Subtract Mixed Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.8_Subtract_Mixed_Numbers\">Lesson 8.8 Subtract Mixed Numbers<\/a><\/li>\n<li><a href=\"#Subtract_Mixed_Numbers_Homework_&amp;_Practice_8.8\">Subtract Mixed Numbers Homework &amp; Practice 8.8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 9: Problem Solving: Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.9_Problem_Solving:_Fractions\">Lesson 8.9 Problem Solving: Fractions<\/a><\/li>\n<li><a href=\"#Problem_Solving:_Fractions_Homework_&amp;_Practice_8.9\">Problem Solving: Fractions Homework &amp; Practice 8.9<\/a><\/li>\n<\/ul>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Add_and_Subtract_Fractions_Performance_Task_8\">Add and Subtract Fractions Performance Task 8<\/a><\/li>\n<li><a href=\"#Add_and_Subtract_Fractions_Activity\">Add and Subtract Fractions Activity<\/a><\/li>\n<li><a href=\"#Add_and_Subtract_Fractions_Chapter_Practice_8\">Add and Subtract Fractions Chapter Practice 8<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_8.1_Use_Models_to_Add_Fractions\"><\/a>Lesson 8.1 Use Models to Add Fractions<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Draw models to show \\(\\frac{2}{8}\\) and \\(\\frac{5}{8}\\).<\/p>\n<p>Answer:<br \/>\nYou can add fractions by joining parts that refer to the same whole.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_1-300x155.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_1\" width=\"300\" height=\"155\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_1-300x155.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_1.jpg 458w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Use your models to find \\(\\frac{2}{8}\\) + \\(\\frac{5}{8}\\). Explain your method.<\/p>\n<p>Answer:<br \/>\nCombine the like terms<br \/>\n\\(\\frac{2}{8}\\) + \\(\\frac{5}{8}\\) = (2 + 5)\/8 = 7\/8<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nWrite two fractions that have a sum of \\(\\frac{6}{8}\\). Explain your reasoning.<\/p>\n<p><strong>Think and Grow: Use Models to Add Fractions<\/strong><\/p>\n<p>You can add fractions by joining parts that refer to the same whole.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14312\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-1.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 1\" width=\"686\" height=\"257\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-1.png 686w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-1-300x112.png 300w\" sizes=\"(max-width: 686px) 100vw, 686px\" \/><br \/>\nAnswer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n\\(\\frac{1}{5}\\) + \\(\\frac{3}{5}\\) = \\(\\frac{4}{5}\\)<\/p>\n<p><strong>Example<\/strong><br \/>\nUse a number line to find \\(\\frac{5}{4}\\) + \\(\\frac{2}{4}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14313\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-2.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 2\" width=\"586\" height=\"189\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-2.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-2-300x97.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><br \/>\nAnswer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n\\(\\frac{5}{4}\\) + \\(\\frac{2}{4}\\) = \\(\\frac{7}{4}\\)<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the sum. Explain how you used the model to add.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14314\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-3.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 3\" width=\"271\" height=\"124\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19815\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-3.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-3\" width=\"271\" height=\"124\" \/><br \/>\n(3+4)\/10 = 7\/10<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14354\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 4\" width=\"316\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4-300x118.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4-300x118.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4\" width=\"300\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4-300x118.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4.jpg 316w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the sum. Use a model or a number line to help.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14355\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-5.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 5\" width=\"124\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_2-300x155.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_2\" width=\"300\" height=\"155\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_2-300x155.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_2.jpg 458w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14356\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-6.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 6\" width=\"136\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_3-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_3\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_3-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_3.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n\\(\\frac{5}{12}\\) + \\(\\frac{4}{12}\\) = \\(\\frac{9}{12}\\)<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14357\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-7.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 7\" width=\"117\" height=\"43\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19822\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_5-300x119.jpg\" alt=\"Big Ideas Math Book 4th Grade Answer Key Chapter 8 Add and Subtract Fractions img_5\" width=\"300\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_5-300x119.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_5.jpg 439w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14358\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 8\" width=\"118\" height=\"53\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19824\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_4-300x87.jpg\" alt=\"Big Ideas Math Book 4th Grade Answer Key Chapter 8 Add and Subtract Fractions img_4\" width=\"300\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_4-300x87.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_4.jpg 418w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14359\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 9\" width=\"133\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19825\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_6-300x129.jpg\" alt=\"Big Ideas Math Book 4th Grade Answer Key Chapter 8 Add and Subtract Fractions img_6\" width=\"300\" height=\"129\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_6-300x129.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_6.jpg 436w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14360\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 10\" width=\"120\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\nAdd a fraction to the whole number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19826\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_7.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_7\" width=\"301\" height=\"80\" \/><br \/>\n5 + \\(\\frac{6}{8}\\) = \\(\\frac{46}{8}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14361\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 11\" width=\"152\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11.png 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11-150x54.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19827\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_8.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_8\" width=\"236\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_8.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_8-150x150.jpg 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14362\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 12\" width=\"166\" height=\"70\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19829\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_10-300x79.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_10\" width=\"300\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_10-300x79.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_10.jpg 316w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14363\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 13\" width=\"154\" height=\"70\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the fraction are the same so you have to add numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19830\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_11-300x116.jpg\" alt=\"Big Ideas Math Book 4th Grade Answer Key Chapter 8 Add and Subtract Fractions img_11\" width=\"300\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_11-300x116.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_11.jpg 449w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite the addition equation represented by the models.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14364\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 14\" width=\"564\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14-300x43.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/p>\n<p>Answer:<br \/>\nBy seeing the above model we can find the addition equation.<br \/>\n\\(\\frac{4}{8}\\) + \\(\\frac{3}{8}\\) = \\(\\frac{7}{8}\\)<\/p>\n<p>Question 13.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite three fractions with different numerators that have a sum of 1.<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{8}\\) + \\(\\frac{5}{8}\\) + \\(\\frac{1}{8}\\) = \\(\\frac{8}{8}\\) = 1<\/p>\n<p>Question 14.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain why \\(\\frac{1}{8}\\) + \\(\\frac{4}{8}\\) does not equal \\(\\frac{5}{16}\\).<\/p>\n<p>Answer:<br \/>\nIn the above expressions, the denominators are the same but the numerators are different.<br \/>\nSo, you have to add the numerators not denominators.<br \/>\n\\(\\frac{1}{8}\\) + \\(\\frac{4}{8}\\) = \\(\\frac{5}{8}\\)<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou need \\(\\frac{2}{3}\\) cup of hot water and \\(\\frac{4}{3}\\) cups of cold water for a science experiment. How many cups of water do you need in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14365\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 15\" width=\"220\" height=\"180\" \/><br \/>\nBecause each fraction represents a part of the same whole you can join the parts.<br \/>\nUse a model to find \\(\\frac{2}{3}\\) + \\(\\frac{4}{3}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14366\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 16\" width=\"461\" height=\"213\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16.png 461w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16-300x139.png 300w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou need \\(\\frac{2}{3}\\) cup of hot water and \\(\\frac{4}{3}\\) cups of cold water for a science experiment.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-19832\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16-300x139.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16\" width=\"300\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16-300x139.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16.jpg 461w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nThus you need 2 cups of water in all.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 15.<br \/>\nYou cut a foam noodle for a craft. You use \\(\\frac{2}{4}\\) of the noodle for one part of the craft and \\(\\frac{1}{4}\\) of the noodle for another part. What fraction of the foam noodle do you use altogether?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14367\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-17.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 17\" width=\"180\" height=\"165\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou cut a foam noodle for a craft. You use \\(\\frac{2}{4}\\) of the noodle for one part of the craft and \\(\\frac{1}{4}\\) of the noodle for another part.<br \/>\n\\(\\frac{2}{4}\\) + \\(\\frac{1}{4}\\) = \\(\\frac{3}{4}\\)<br \/>\nThus \\(\\frac{3}{4}\\) of the foam noodle is used.<\/p>\n<p>Question 16.<br \/>\nYou make a fruit drink using \\(\\frac{4}{8}\\) gallon of orange juice, \\(\\frac{2}{8}\\) gallon of mango juice, and \\(\\frac{4}{8}\\) gallon of pineapple juice. How much juice do you use in all?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou make a fruit drink using \\(\\frac{4}{8}\\) gallon of orange juice, \\(\\frac{2}{8}\\) gallon of mango juice, and \\(\\frac{4}{8}\\) gallon of pineapple juice.<br \/>\n\\(\\frac{4}{8}\\) + \\(\\frac{2}{8}\\) = \\(\\frac{6}{8}\\)<br \/>\n\\(\\frac{6}{8}\\) + \\(\\frac{4}{8}\\) = \\(\\frac{10}{8}\\)<br \/>\nThus you used \\(\\frac{10}{8}\\) fraction of juice.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA community plants cucumbers in \\(\\frac{5}{12}\\) of a garden, broccoli in \\(\\frac{3}{12}\\) of the garden, and carrots in \\(\\frac{4}{12}\\) of the garden. What fraction of the garden is planted with green vegetables?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA community plants cucumbers in \\(\\frac{5}{12}\\) of a garden, broccoli in \\(\\frac{3}{12}\\) of the garden, and carrots in \\(\\frac{4}{12}\\) of the garden.<br \/>\n\\(\\frac{5}{12}\\) + \\(\\frac{3}{12}\\) + \\(\\frac{4}{12}\\) = \\(\\frac{12}{12}\\) = 1<br \/>\n\\(\\frac{12}{12}\\) fraction of the garden is planted with green vegetables.<\/p>\n<h3><a id=\"Use_Models_to_Add_Fractions_Homework_&amp;_Practice_8.1\"><\/a>Use Models to Add Fractions Homework &amp; Practice 8.1<\/h3>\n<p>Find the sum. Explain how you used the model to add.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14368\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-18.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 18\" width=\"293\" height=\"135\" \/><\/p>\n<p>Answer: \\(\\frac{9}{6}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19878\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-18.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-18\" width=\"293\" height=\"135\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14369\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-19.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 19\" width=\"264\" height=\"139\" \/><\/p>\n<p>Answer: 1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19879\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-19.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-19\" width=\"264\" height=\"139\" \/><\/p>\n<p>Find the sum. Use a model or a number line to help.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14370\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-20.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 20\" width=\"119\" height=\"54\" \/><\/p>\n<p>Answer: \\(\\frac{7}{8}\\)<br \/>\nYou can add fractions by joining parts that refer to the same whole.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_1-300x155.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_1\" width=\"300\" height=\"155\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_1-300x155.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_1.jpg 458w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14371\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-21.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 21\" width=\"118\" height=\"56\" \/><\/p>\n<p>Answer: 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19881\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_20-300x57.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_20\" width=\"300\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_20-300x57.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_20.jpg 316w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14372\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 22\" width=\"118\" height=\"63\" \/><\/p>\n<p>Answer: 3 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nAdd fraction to the whole number.<br \/>\n\\(\\frac{1}{4}\\) + 3<br \/>\n\\(\\frac{1}{4}\\) + 3 \u00d7 \\(\\frac{4}{4}\\)<br \/>\n\\(\\frac{1}{4}\\) + \\(\\frac{13}{4}\\) = \\(\\frac{13}{4}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14373\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 23\" width=\"134\" height=\"63\" \/><\/p>\n<p>Answer: \\(\\frac{9}{12}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19884\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_21-300x67.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_21\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_21-300x67.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_21.png 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14374\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-24.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 24\" width=\"133\" height=\"64\" \/><\/p>\n<p>Answer: 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19888\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_22-300x66.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_22\" width=\"300\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_22-300x66.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_22-768x168.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_22.jpg 911w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n\\(\\frac{12}{10}\\) = \\(\\frac{10}{10}\\) + \\(\\frac{2}{10}\\)<br \/>\n\\(\\frac{10}{10}\\) + \\(\\frac{2}{10}\\) + \\(\\frac{8}{10}\\) = \\(\\frac{20}{10}\\) = 2<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14375\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 25\" width=\"116\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n4\/8 = 1\/2<br \/>\n6 + 1\/2 = (12 + 1)\/2 = 13\/2<\/p>\n<p>Find the sum. Use a model or a number line to help.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14376\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-26.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 26\" width=\"157\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\nAdd all the three unit fractions.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23.jpg\" alt=\"BIM Grade 4 Chapter 8 Add and Subtract Fractions img_23\" width=\"236\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23-150x150.jpg 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14377\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-27.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 27\" width=\"175\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-img_24-300x67.jpg\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 img_24\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-img_24-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-img_24.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14378\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-28.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 28\" width=\"199\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of all the fractions are the same. So you have to add the numerators of the fraction.<br \/>\n\\(\\frac{50}{100}\\) + \\(\\frac{25}{100}\\) + \\(\\frac{5}{100}\\) = \\(\\frac{80}{100}\\)<\/p>\n<p>Question 12.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nNewton says \\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{4}{10}\\). Descartes says the sum is \\(\\frac{4}{5}\\). Who is correct? Explain.<\/p>\n<p>Answer:<br \/>\nNewton says \\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{4}{10}\\). Descartes says the sum is \\(\\frac{4}{5}\\).<br \/>\nDescartes is correct.<br \/>\n\\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{4}{5}\\)<br \/>\nYou have to add numerators, not denominators.<br \/>\nSo, Newton&#8217;s equation is not correct.<\/p>\n<p>Question 13.<br \/>\nMake each statement true by writing two fractions whose denominators are the same and whose numerators are 3 and 2.<br \/>\nThe sum of ___ and __ is greater than 1.<br \/>\n___________________________<br \/>\nThe sum of ___ and ___ is less than 1.<br \/>\n___________________________<br \/>\nThe sum of ___ and ___ is equal to 1.<\/p>\n<p>Answer:<br \/>\nThe sum of 3\/2 and 2\/2 is greater than 1.<br \/>\n3\/2 + 2\/2 = 5\/2<br \/>\n5\/2 &gt; 1<br \/>\nThe sum of 3\/6 and 2\/6 is less than 1.<br \/>\n3\/6 + 2\/6 = 5\/6<br \/>\n5\/6 &lt; 1<br \/>\nThe sum of 3\/5 and 2\/5 is equal to 1.<br \/>\n3\/5 + 2\/5 = 5\/5 = 1<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour teacher assigns 5 pages to read. You read \\(\\frac{3}{5}\\) of the pages in class and \\(\\frac{1}{5}\\) of the pages at home. What fraction of the reading assignment is complete?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYour teacher assigns 5 pages to read. You read \\(\\frac{3}{5}\\) of the pages in class and \\(\\frac{1}{5}\\) of the pages at home.<br \/>\nThe denominators of all the fractions are the same. So you have to add the numerators of the fraction.<br \/>\n\\(\\frac{3}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{4}{5}\\)<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nIn the Sahara Desert, it rains \\(\\frac{2}{10}\\) inch in September, \\(\\frac{3}{10}\\) inch in October, and \\(\\frac{5}{10}\\) inch in November. How much does it rain in the 3 months?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nIn the Sahara Desert, it rains \\(\\frac{2}{10}\\) inch in September, \\(\\frac{3}{10}\\) inch in October, and \\(\\frac{5}{10}\\) inch in November.<br \/>\n\\(\\frac{2}{10}\\) + \\(\\frac{3}{10}\\) + \\(\\frac{5}{10}\\)<br \/>\nThe denominators of all the fractions are the same. So you have to add the numerators of the fraction.<br \/>\n\\(\\frac{2}{10}\\) + \\(\\frac{3}{10}\\) + \\(\\frac{5}{10}\\) = (2 + 3 + 5)\/10 = 10\/10 = 1<br \/>\nIt rains 10\/10 in the 3 months.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Tell whether the number is prime or composite. Explain.<\/p>\n<p>Question 16.<br \/>\n37<\/p>\n<p>Answer: 37 is a prime number.<br \/>\nA prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.<\/p>\n<p>Question 17.<br \/>\n21<\/p>\n<p>Answer: 21 is a composite number.<br \/>\nA composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.<\/p>\n<p>Question 18.<br \/>\n99<\/p>\n<p>Answer: 99 is a composite number.<br \/>\nA composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.<\/p>\n<h3><a id=\"Lesson_8.2_Decompose_Fractions\"><\/a>Lesson 8.2 Decompose Fractions<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use a model to find <img loading=\"lazy\" class=\"alignnone size-full wp-image-14379\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 29\" width=\"185\" height=\"54\" \/>.<\/p>\n<p>How can you write \\(\\frac{7}{10}\\) as a sum of unit fractions? Explain your reasoning.<\/p>\n<p>Answer: The sum of unit fraction of \\(\\frac{7}{10}\\) is \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\)<\/p>\n<p><strong>Structure<\/strong><br \/>\nExplain how you can write \\(\\frac{7}{10}\\) as a sum of two fractions. Draw a model to support your answer.<\/p>\n<p>Answer: You can write sum of \\(\\frac{7}{10}\\) as \\(\\frac{2}{10}\\) + \\(\\frac{5}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20394\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23-300x71.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_23\" width=\"300\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23-300x71.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23-768x181.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_23.jpg 843w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Think and Grow: Decompose Fractions<\/strong><\/p>\n<p>A unit fraction represents one equal part of a whole. You can write a fraction as a sum of unit fractions.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14381\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 31\" width=\"628\" height=\"234\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.png 628w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31-300x112.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20395\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31-300x112.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31\" width=\"300\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31-300x112.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.jpg 628w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14380\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 31.1\" width=\"679\" height=\"416\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1.png 679w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1-300x184.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20396\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1-300x184.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1\" width=\"300\" height=\"184\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1-300x184.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.1.jpg 679w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nWrite \\(\\frac{4}{5}\\) as a sum of unit fractions.<\/p>\n<p>Answer: The unit fraction of \\(\\frac{4}{5}\\) is \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 2.<br \/>\nWrite \\(\\frac{5}{6}\\) as a sum of fractions in two different ways.<\/p>\n<p>Answer: The unit fraction of \\(\\frac{5}{6}\\) is \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<br \/>\nYou can also write \\(\\frac{5}{6}\\) as \\(\\frac{2}{6}\\) + \\(\\frac{3}{6}\\)<br \/>\nThat means \\(\\frac{5}{6}\\) can be written as 2 parts of \\(\\frac{1}{6}\\) and 3 parts of \\(\\frac{1}{6}\\)<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{4}{7}\\)<\/p>\n<p>Answer: The unit fraction of \\(\\frac{4}{7}\\) is \\(\\frac{1}{7}\\) + \\(\\frac{1}{7}\\) + \\(\\frac{1}{7}\\) + \\(\\frac{1}{7}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{7}{8}\\)<\/p>\n<p>Answer: The unit fraction of \\(\\frac{7}{8}\\) is \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{10}\\)<\/p>\n<p>Answer: The unit fraction of \\(\\frac{3}{10}\\) is\u00a0 \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{10}{100}\\)<\/p>\n<p>Answer: The unit fraction of \\(\\frac{10}{100}\\) is \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{6}{2}\\)<\/p>\n<p>Answer: 3<br \/>\nThe unit fraction of \\(\\frac{6}{2}\\) is \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{9}{4}\\)<\/p>\n<p>Answer:<br \/>\nBreak apart 9 parts of \\(\\frac{1}{4}\\) into 5 parts of \\(\\frac{1}{4}\\) and 4 parts of \\(\\frac{1}{4}\\).<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{8}{12}\\)<\/p>\n<p>Answer: Break apart 8 parts of \\(\\frac{1}{12}\\) into 5 parts of \\(\\frac{1}{12}\\) and 3 parts of \\(\\frac{1}{12}\\).<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{5}{3}\\)<\/p>\n<p>Answer: The unit fraction of \\(\\frac{5}{3}\\) is \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<\/p>\n<p>Question 11.<br \/>\n<strong>Writing<\/strong><br \/>\nYou write \\(\\frac{4}{6}\\) as a sum of unit fractions. Explain how the numerator of \\(\\frac{4}{6}\\) is related to the number of addends.<\/p>\n<p>Answer: The unit fraction of \\(\\frac{4}{6}\\) is \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\)<br \/>\nA unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.<br \/>\nAlso, you can write \\(\\frac{4}{6}\\) as 4 parts of \\(\\frac{1}{6}\\), 2 equal parts of \\(\\frac{1}{6}\\) and 2 equal parts of \\(\\frac{1}{6}\\).<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhy is it important to be able to write a fraction as a sum of fractions in different ways?<\/p>\n<p>Answer:<br \/>\nAsking students to write a fraction as a sum of unit fractions, or as a sum of other fractions, encourages students to make sense of quantities and their relationships. Students further develop their understandings about fractions and decomposing numbers through this process.<\/p>\n<p>Question 13.<br \/>\n<strong>Precision<\/strong><br \/>\nMatch each fraction with an equivalent expression.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14382\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 32\" width=\"399\" height=\"259\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32.png 399w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32-300x195.png 300w\" sizes=\"(max-width: 399px) 100vw, 399px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20401\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32-300x195.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32\" width=\"300\" height=\"195\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32-300x195.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32.jpg 399w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA chef has \\(\\frac{8}{10}\\) liter of soup. How can the chef pour all of the soup into 2 bowls?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14383\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-33.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 33\" width=\"225\" height=\"189\" \/><br \/>\nBreak apart \\(\\frac{8}{10}\\) into any two fractions that have a sum of \\(\\frac{8}{10}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14384\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 34\" width=\"624\" height=\"319\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34-300x153.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20404\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34-300x153.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34\" width=\"300\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34-300x153.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34.jpg 624w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nYou have \\(\\frac{7}{3}\\) pounds of almonds. What are two different ways you can put all of the almonds into 2 bags?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou have \\(\\frac{7}{3}\\) pounds of almonds.<br \/>\nBreak apart 7 parts of \\(\\frac{1}{3}\\) into 5 parts of \\(\\frac{1}{3}\\) and 2 parts of \\(\\frac{1}{3}\\)<br \/>\nThus you can put 5 parts of \\(\\frac{1}{3}\\) and 2 parts of \\(\\frac{1}{3}\\) of the almonds into 2 bags.<\/p>\n<p>Question 15.<br \/>\nA 3-person painting crew has \\(\\frac{10}{12}\\) of a fence left to paint. What is one way the crew can finish painting the fence when each person paints a fraction of the fence?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14385\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-35.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 35\" width=\"330\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-35.png 330w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-35-300x86.png 300w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA 3-person painting crew has \\(\\frac{10}{12}\\) of a fence left to paint.<br \/>\n\\(\\frac{10}{12}\\) can be written as \\(\\frac{3}{12}\\) + \\(\\frac{3}{12}\\) + \\(\\frac{4}{12}\\)<br \/>\nThus each person paints \\(\\frac{3}{12}\\) + \\(\\frac{3}{12}\\) + \\(\\frac{4}{12}\\) fraction of the fence.<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThree teammates have to run a total of miles for a relay race. Can each team member run the same fraction of a mile, in fourths, to complete the race? Explain.<\/p>\n<p>Answer:<br \/>\nThree teammates have to run a total of miles for a relay race.<br \/>\nNo three members cannot run the same fraction of a mile, in fourths, to complete the race<br \/>\n\\(\\frac{10}{12}\\) can be written as \\(\\frac{3}{12}\\) + \\(\\frac{3}{12}\\) + \\(\\frac{4}{12}\\)<\/p>\n<h3><a id=\"Decompose_Fractions_Homework_&amp;_Practice_8.2\"><\/a>Decompose Fractions Homework &amp; Practice 8.2<\/h3>\n<p>write the fraction as a sum of unit fractions.<\/p>\n<p>Question 1.<br \/>\n\\(\\frac{2}{2}\\)<\/p>\n<p>Answer: 1<br \/>\nThe sum of unit fractions of \\(\\frac{2}{2}\\) is \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{5}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{3}{5}\\) is \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{4}{3}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{4}{3}\\) is \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{6}{4}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{6}{4}\\) is \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\)<\/p>\n<p>write the fraction as a sum of fractions in two different ways.<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{8}{12}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{8}{12}\\) is \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\)<\/p>\n<p>Another Way:<br \/>\nBreak apart \\(\\frac{8}{12}\\) as 4 parts of \\(\\frac{1}{12}\\) and 4 parts of \\(\\frac{1}{12}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{10}{6}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{10}{6}\\) is \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\)<\/p>\n<p>Another way:<br \/>\nBreak apart \\(\\frac{10}{6}\\) as 5 parts of \\(\\frac{1}{6}\\) and 5 parts of \\(\\frac{11}{6}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{11}{100}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{11}{100}\\) is \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\)<\/p>\n<p>Another way:<br \/>\nBreak apart \\(\\frac{11}{100}\\) as 5 parts of \\(\\frac{1}{100}\\), 4 parts of \\(\\frac{1}{100}\\) and 2 parts of \\(\\frac{1}{100}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{14}{8}\\)<\/p>\n<p>Answer: The sum of unit fractions of \\(\\frac{14}{8}\\) is \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\)<\/p>\n<p>Another way:<br \/>\nBreak apart \\(\\frac{14}{8}\\) as 5 parts of \\(\\frac{1}{8}\\), 9 parts of \\(\\frac{1}{8}\\)<\/p>\n<p>Question 9.<br \/>\nWhich One Doesn\u2019t Belong? Which expression does belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14386\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-36.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 36\" width=\"580\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-36.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-36-300x33.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Answer: The expression \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) does not belong to the other three.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14387\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-37.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 37\" width=\"294\" height=\"140\" \/><\/p>\n<p>Answer: Yes your friend is correct.<br \/>\n\\(\\frac{1}{10}\\) + \\(\\frac{3}{10}\\)\u00a0 + \\(\\frac{5}{10}\\)<br \/>\nHere the denominators are the same so you have to add the numerators.<br \/>\n\\(\\frac{1}{10}\\) + \\(\\frac{3}{10}\\)\u00a0 + \\(\\frac{5}{10}\\) = \\(\\frac{9}{10}\\)<br \/>\n\\(\\frac{2}{10}\\) + \\(\\frac{4}{10}\\) + \\(\\frac{3}{10}\\)<br \/>\nHere the denominators are the same so you have to add the numerators.<br \/>\n\\(\\frac{2}{10}\\) + \\(\\frac{4}{10}\\) + \\(\\frac{3}{10}\\) = \\(\\frac{9}{10}\\)<\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nIs it possible to write \\(\\frac{7}{12}\\) as the sum of three fractions with three different numerators and the same denominator? Explain.<\/p>\n<p>Answer: Yes it is possible to write \\(\\frac{7}{12}\\) as the sum of three fractions with three different numerators and the same denominator.<br \/>\n\\(\\frac{7}{12}\\) = \\(\\frac{3}{12}\\) + \\(\\frac{3}{12}\\) + \\(\\frac{1}{12}\\)<\/p>\n<p>Question 12.<br \/>\nYou have \\(\\frac{8}{4}\\) pounds of dried pineapple. What are two different ways you can put all of the pineapples into 2 bags?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou have \\(\\frac{8}{4}\\) pounds of dried pineapple.<br \/>\nBreak apart \\(\\frac{8}{4}\\) as 4 parts of \\(\\frac{1}{4}\\) and 4 parts of \\(\\frac{1}{4}\\).<br \/>\nThe two different ways you can put all of the pineapples into 2 bags are 4 parts of \\(\\frac{1}{4}\\).<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA carpenter has 3 planks of wood. Each plank has a different thickness. When stacked, the thickness of the 3 planks is \\(\\frac{6}{8}\\) inch. What are the possible thickness of each plank?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14388\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-38.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 38\" width=\"257\" height=\"84\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA carpenter has 3 planks of wood. Each plank has a different thickness.<br \/>\nWhen stacked, the thickness of the 3 planks is \\(\\frac{6}{8}\\) inch.<br \/>\n\\(\\frac{6}{8}\\) = \\(\\frac{2}{8}\\) + \\(\\frac{3}{8}\\) + \\(\\frac{1}{8}\\)<br \/>\nThe possible thickness of each plank are \\(\\frac{2}{8}\\), \\(\\frac{3}{8}\\), \\(\\frac{1}{8}\\)<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the product. Check whether your answer is reasonable.<\/p>\n<p>Question 14.<br \/>\nEstimate: ___<br \/>\n608 \u00d7 5 = ___<\/p>\n<p>Answer:<br \/>\n600 \u00d7 5 = 3000<br \/>\nThe number close to 608 is 600.<br \/>\nStep 2:<br \/>\n608 \u00d7 5 = 3040<br \/>\n3040 is close to 3000. So, the answer is reasonable.<\/p>\n<p>Question 15.<br \/>\nEstimate: ___<br \/>\n7 \u00d7 5,394 = ___<\/p>\n<p>Answer:<br \/>\n7 \u00d7 5400 = 37,800<br \/>\nThe number close to 5394 is 5400.<br \/>\nStep 2:<br \/>\n7 \u00d7 5394 = 37,758<br \/>\n37,758 is close to 37,800. So, the answer is reasonable.<\/p>\n<p>Question 16.<br \/>\nEstimate: ___<br \/>\n927 \u00d7 3 = ___<\/p>\n<p>Answer:<br \/>\n900 \u00d7 3 = 2700<br \/>\nThe number close to 927 is 900.<br \/>\nStep 2:<br \/>\n927 \u00d7 3 = 2781<br \/>\n2781 is close to 2700. So, the answer is reasonable.<\/p>\n<h3><a id=\"Lesson_8.3_Add_Fractions_with_Like_Denominators\"><\/a>Lesson 8.3 Add Fractions with Like Denominators<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Write each fraction as a sum of unit fractions. Use models to help.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14389\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 39\" width=\"561\" height=\"286\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39.png 561w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39-300x153.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>How many unit fractions did you use in all to rewrite the fractions above? How does this relate to the sum \\(\\frac{3}{6}+\\frac{5}{6}\\) ?<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39-300x153.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39\" width=\"300\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39-300x153.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39.jpg 561w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n\\(\\frac{3}{6}+\\frac{5}{6}\\) = \\(\\frac{8}{6}\\)<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nHow can you use the numerators and the denominators to add fractions with like denominators? Explain why your method makes sense.<\/p>\n<p>Answer:<br \/>\nTo add fractions with like denominators, add the numerators and keep the same denominator. Then simplify the sum. You know how to do this with numeric fractions.<br \/>\n\\(\\frac{3}{6}+\\frac{5}{6}\\) = \\(\\frac{8}{6}\\)<\/p>\n<p><strong>Think and Grow: Add Fractions<\/strong><\/p>\n<p>To add fractions with like denominators, add the numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14390\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-40.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 40\" width=\"149\" height=\"57\" \/><br \/>\nThe denominator stays the same.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14391\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 41\" width=\"603\" height=\"206\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41.png 603w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41-300x102.png 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20415\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41-300x102.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41\" width=\"300\" height=\"102\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41-300x102.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41.jpg 603w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nAdd the numerators of the like denominators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14392\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 42\" width=\"611\" height=\"222\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42.png 611w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42-300x109.png 300w\" sizes=\"(max-width: 611px) 100vw, 611px\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42-300x109.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42\" width=\"300\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42-300x109.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42.jpg 611w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Add.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14393\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 43\" width=\"147\" height=\"120\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20418\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43\" width=\"147\" height=\"120\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14394\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-44.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 44\" width=\"132\" height=\"52\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n6 + 2 = 8<br \/>\n\\(\\frac{6}{5}+\\frac{2}{5}\\) = \\(\\frac{8}{5}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14395\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-45.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 45\" width=\"125\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n4 + 4 = 8<br \/>\n\\(\\frac{4}{8}+\\frac{4}{8}\\) = \\(\\frac{8}{8\\) = 1<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Add.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14396\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-46.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 46\" width=\"132\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n3 + 2 = 5<br \/>\n\\(\\frac{3}{6}+\\frac{2}{6}\\) = \\(\\frac{5}{6}\\)<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14397\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-47.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 47\" width=\"112\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n8 + 4 = 12<br \/>\n\\(\\frac{8}{2}+\\frac{4}{2}\\) = \\(\\frac{12}{2}\\) = 6<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14398\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-48.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 48\" width=\"106\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n4 + 1 = 5<br \/>\n\\(\\frac{4}{5}+\\frac{1}{5}\\) = \\(\\frac{5}{5}\\) = 1<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14399\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-49.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 49\" width=\"154\" height=\"69\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n60 + 35 = 95<br \/>\n\\(\\frac{60}{100}+\\frac{35}{100}\\) = \\(\\frac{95}{100}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14400\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-50.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 50\" width=\"111\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators are not the same. So first you have to make the common denominators and add the fraction with the number.<br \/>\n2 \u00d7 3\/3 = 6\/3<br \/>\n\\(\\frac{6}{3}+\\frac{5}{3}\\) = \\(\\frac{11}{3}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14401\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-51.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 51\" width=\"120\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators are not the same. So first you have to make the common denominators and add the fraction with the number.<br \/>\n6 \u00d7 12\/12 = 72\/12<br \/>\n\\(\\frac{72}{12}+\\frac{1}{12}\\) = \\(\\frac{73}{12}\\)<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14402\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-52.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 52\" width=\"149\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n3 + 1 + 1 = 5<br \/>\n3\/4 + 1\/4 + 1\/4 = 5\/4<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14403\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-53.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 53\" width=\"139\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n\\(\\frac{6}{8}\\) + \\(\\frac{5}{8}\\) + \\(\\frac{4}{8}\\)<br \/>\n6 + 5 + 4 = 15<br \/>\n\\(\\frac{6}{8}\\) + \\(\\frac{5}{8}\\) + \\(\\frac{4}{8}\\) = \\(\\frac{15}{8}\\)<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14404\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-54.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 54\" width=\"194\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\n43 + 16 + 10 = 69<br \/>\n\\(\\frac{43}{100}\\) + \\(\\frac{16}{100}\\) + \\(\\frac{10}{100}\\) = \\(\\frac{69}{100}\\)<\/p>\n<p>Question 13.<br \/>\nYou eat \\(\\frac{2}{10}\\) of a vegetable pizza. Your friend eats \\(\\frac{3}{10}\\) of the pizza. What fraction of the pizza do you and your friend eat together?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou eat \\(\\frac{2}{10}\\) of a vegetable pizza. Your friend eats \\(\\frac{3}{10}\\) of the pizza.<br \/>\n\\(\\frac{2}{10}\\) + \\(\\frac{3}{10}\\) = \\(\\frac{5}{10}\\) = \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{1}{2}\\) fraction of the pizza do you and your friend eat together<\/p>\n<p>Question 14.<br \/>\n<strong>Number Sense<\/strong><br \/>\nA sum has 5 addends. Each addend is a unit fraction. The sum is 1. What are the addends?<\/p>\n<p>Answer:<br \/>\n\\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{5}{5}\\) = 1<\/p>\n<p>Question 15.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how to add \\(\\frac{3}{4}\\) and \\(\\frac{1}{4}\\). Use a model to support your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14405\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-55.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 55\" width=\"207\" height=\"83\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-55.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-55\" width=\"207\" height=\"83\" \/><br \/>\n\\(\\frac{3}{4}\\) + \\(\\frac{1}{4}\\) = \\(\\frac{4}{4}\\) = 1<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe table shows the natural hazards studied by 100 students for a science project. What fraction of the students studied a weather-based natural hazard?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14406\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-56.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 56\" width=\"321\" height=\"212\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-56.png 321w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-56-300x198.png 300w\" sizes=\"(max-width: 321px) 100vw, 321px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14408\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 57\" width=\"663\" height=\"347\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57.png 663w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57-300x157.png 300w\" sizes=\"(max-width: 663px) 100vw, 663px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20427\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57-300x157.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57\" width=\"300\" height=\"157\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57-300x157.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57.jpg 663w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nUse the graph above to find what fraction of the students studied an Earth-based natural hazard.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57.1.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 57.1\" width=\"201\" height=\"154\" \/><\/p>\n<p>Answer:<br \/>\nWe can find the fraction of the students who studied an Earth-based natural hazard<br \/>\n1 \u00d7 8 = 8<br \/>\nHalf drop = 4<br \/>\n8 + 4 = 12<br \/>\n=\u00a0 Number of students\/Total number of students surveyed<br \/>\n= 12\/100<br \/>\nThus \\(\\frac{12}{100}\\) fraction of the students who studied an Earth-based natural hazard.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA caterer needs at least 2 pounds of lunch meat to make a sandwich platter. She has \\(\\frac{6}{4}\\) pounds of turkey and \\(\\frac{3}{4}\\) pound of ham. Does the caterer have enough lunch meat to make a sandwich platter? Explain.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA caterer needs at least 2 pounds of lunch meat to make a sandwich platter. She has \\(\\frac{6}{4}\\) pounds of turkey and \\(\\frac{3}{4}\\) pound of ham.<br \/>\n\\(\\frac{6}{4}\\) + \\(\\frac{3}{4}\\) = \\(\\frac{9}{4}\\)<br \/>\nConvert it into mixed fraction<br \/>\n\\(\\frac{9}{4}\\) = 1 \\(\\frac{3}{4}\\)<br \/>\nThus the caterer does not have enough lunch meat to make a sandwich platter.<\/p>\n<h3><a id=\"Add_Fractions_with_Like_Denominators_Homework_&amp;_Practice_8.3\"><\/a>Add Fractions with Like Denominators Homework &amp; Practice 8.3<\/h3>\n<p>Add<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14409\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-58.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 58\" width=\"145\" height=\"115\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-58.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-58\" width=\"145\" height=\"115\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-59.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 59\" width=\"115\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{2}{2}\\) + \\(\\frac{7}{2}\\) = (2 + 7)\/2 = \\(\\frac{9}{2}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14411\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-60.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 60\" width=\"119\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{2}{5}\\) + \\(\\frac{2}{5}\\) = (2 + 2)\/5 = \\(\\frac{4}{5}\\)<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-61.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 61\" width=\"131\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{4}{10}\\) + \\(\\frac{6}{10}\\) = (4 + 6)\/10 = \\(\\frac{10}{10}\\) = 1<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14413\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-62.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 62\" width=\"120\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators are not the same. So first you have to make the common denominators and add the fraction with the number.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n4 \u00d7 3\/3 = 12\/3<br \/>\n\\(\\frac{12}{3}\\) + \\(\\frac{1}{3}\\) = (12 + 1)\/3 = \\(\\frac{13}{2}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-63.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 63\" width=\"142\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{27}{100}\\) + \\(\\frac{460}{100}\\) = (27 + 460)\/100 = \\(\\frac{487}{100}\\)<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14415\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-64.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 64\" width=\"113\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{8}{4}\\) + \\(\\frac{5}{4}\\) = (8 + 5)\/4 = \\(\\frac{13}{4}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-65.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 65\" width=\"136\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{4}{6}\\) + \\(\\frac{1}{6}\\) = (4 + 1)\/6 = \\(\\frac{5}{6}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14417\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 66\" width=\"134\" height=\"58\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators are not the same. So first you have to make the common denominators and add the fraction with the number.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n10 \u00d7 12\/12 = 120\/12<br \/>\n\\(\\frac{120}{12}\\) + \\(\\frac{7}{12}\\) = (120 + 7)\/3 = \\(\\frac{127}{12}\\)<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14418\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 67\" width=\"147\" height=\"53\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{2}{5}\\) = (1 + 1 + 2)\/5 = \\(\\frac{4}{5}\\)<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 68\" width=\"175\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{38}{100}\\) + \\(\\frac{13}{100}\\) + \\(\\frac{21}{100}\\) = (38+ 13 + 21)\/100 = \\(\\frac{72}{100}\\)<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-69.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 69\" width=\"146\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\nAdd the numerators of the like denominators.<br \/>\nTake the denominator as common and add the numerators.<br \/>\n\\(\\frac{8}{8}\\) + \\(\\frac{4}{8}\\) + \\(\\frac{2}{8}\\) = (8 + 4 + 2)\/8 = \\(\\frac{14 }{8}\\)<\/p>\n<p>Question 13.<br \/>\nYou plant a sunflower seed. After 11 week, the plant is \\(\\frac{1}{2}\\) inch tall. The next week your plant grows \\(\\frac{3}{2}\\) inches. How tall is your plant after the second week?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou plant a sunflower seed. After 11 week, the plant is \\(\\frac{1}{2}\\) inch tall. The next week your plant grows \\(\\frac{3}{2}\\) inches.<br \/>\n\\(\\frac{1}{2}\\) + \\(\\frac{3}{2}\\) = \\(\\frac{4}{2}\\) = 2<br \/>\nThe plant is 2 inches tall after the second week.<\/p>\n<p>Question 14.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how to find the unknown addend.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14421\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-70.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 70\" width=\"132\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n1 can be written as \\(\\frac{10}{10}\\)<br \/>\n\\(\\frac{7}{10}\\) + ? = \\(\\frac{10}{10}\\)<br \/>\n? = \\(\\frac{10}{10}\\) &#8211; \\(\\frac{7}{10}\\)<br \/>\n? = \\(\\frac{3}{10}\\)<br \/>\nThus the unknown addend is \\(\\frac{3}{10}\\)<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhen you double me and add \\(\\frac{1}{6}\\), you get \\(\\frac{5}{6}\\). What fraction am I?<\/p>\n<p>Answer: \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<br \/>\nIf you add \\(\\frac{2}{6}\\) twice and add \\(\\frac{1}{6}\\) to it you get \\(\\frac{5}{6}\\).<\/p>\n<p>Question 16.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYou eat \\(\\frac{2}{8}\\) of a large apple at lunch and another \\(\\frac{4}{8}\\) of it as a snack. Your friend eats \\(\\frac{4}{8}\\) of a small apple at lunch and another \\(\\frac{2}{8}\\) of it as a snack. Do you each eat the same amount? Explain.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou eat \\(\\frac{2}{8}\\) of a large apple at lunch and another \\(\\frac{4}{8}\\) of it as a snack. Your friend eats \\(\\frac{4}{8}\\) of a small apple at lunch and another \\(\\frac{2}{8}\\) of it as a snack.<br \/>\n\\(\\frac{2}{8}\\) + \\(\\frac{4}{8}\\) = \\(\\frac{6}{8}\\)<br \/>\n\\(\\frac{2}{8}\\) + \\(\\frac{4}{8}\\) = \\(\\frac{6}{8}\\)<br \/>\nYes you and your friend eat same amount of food.<\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe graph shows the classification of 100 species of birds in North America according to their extinction rate. What fraction of the species are classified as near threatened or vulnerable?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14422\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-71.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 71\" width=\"342\" height=\"243\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-71.png 342w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-71-300x213.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><\/p>\n<p>Answer:<br \/>\n\u2022 = 4 species<br \/>\nNear threatened = 4 \u00d7 4 = 16 species<br \/>\nhalf \u2022 = 2 species<br \/>\n16 + 2 = 18 species<br \/>\nFraction of near threatened = number of species\/total number of species of birds in North America<br \/>\n= 18\/100<br \/>\nVulnerable = 5 \u00d7 4 = 20 species<br \/>\nhalf \u2022 = 2 species<br \/>\n20 + 2 = 22 species<br \/>\nFraction of near threatened = number of species\/total number of species of birds in North America<br \/>\n= 22\/100<\/p>\n<p>Question 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nUse the graph above to find what fraction of not the species are critically endangered.<\/p>\n<p>Answer:<br \/>\n\u2022 = 4 species<br \/>\ncritically endangered = 4 \u00d7 4 = 16 species<br \/>\nhalf \u2022 = 2 species<br \/>\n16 + 2 = 18 species<br \/>\nFraction of near threatened = number of species\/total number of species of birds in North America<br \/>\n= 18\/100<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 19.<br \/>\nA pet store has 25 tanks with 32 fish in each tank. A customer buys 7 fish. How many fish does the pet store have now?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA pet store has 25 tanks with 32 fish in each tank. A customer buys 7 fish.<br \/>\n\\(\\frac{25}{32}\\) &#8211; \\(\\frac{7}{32}\\) = \\(\\frac{18}{32}\\)<br \/>\nThus there are 18 fishes in the pet store.<\/p>\n<h3><a id=\"Lesson_8.4_Use_Models_to_subtract_Fractions\"><\/a>Lesson 8.4 Use Models to subtract Fractions<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Draw a model to show \\(\\frac{9}{12}\\).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20504\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_25-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_25\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_25-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_25.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Use your model to find \\(\\frac{9}{12}\\) &#8211; \\(\\frac{5}{12}\\). Explain your method.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20505\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_26-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_26\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_26-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_26.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nWrite two fractions that have a difference of \\(\\frac{7}{12}\\). Explain your reasoning.<\/p>\n<p>Answer:\u00a0 \\(\\frac{9}{12}\\) &#8211; \\(\\frac{2}{12}\\) = \\(\\frac{7}{12}\\)<\/p>\n<p><strong>Think and Grow: Use Models to Subtract Fractions<\/strong><\/p>\n<p>You can subtract fractions by taking away parts that refer to the same whole.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14423\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 72\" width=\"705\" height=\"273\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72.png 705w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72-300x116.png 300w\" sizes=\"(max-width: 705px) 100vw, 705px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20507\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72-300x116.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72\" width=\"300\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72-300x116.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72.jpg 705w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 73\" width=\"617\" height=\"219\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73.png 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73-300x106.png 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20508\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73-300x106.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73\" width=\"300\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73-300x106.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73.jpg 617w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the difference. Explain how you used the model to subtract.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-74.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 74\" width=\"276\" height=\"155\" \/><\/p>\n<p>Answer: 5\/10 = 1\/2<br \/>\nTake away a length of 4\/10 from the length of 9\/10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-74.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-74\" width=\"276\" height=\"155\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 75\" width=\"313\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75-300x144.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/p>\n<p>Answer:<br \/>\nTake away a length of 6\/4 from the length of 2\/4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75-300x144.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75\" width=\"300\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75-300x144.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75.jpg 313w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the difference. Use a model or a number line to help.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14315\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-76.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 76\" width=\"136\" height=\"62\" \/><\/p>\n<p>Answer: 4\/8<br \/>\nTake away a length of 8\/8 from the length of 4\/8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20511\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_7-1.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_7\" width=\"301\" height=\"80\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14316\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-77.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 77\" width=\"137\" height=\"68\" \/><\/p>\n<p>Answer: 8\/12<br \/>\nTake away a length of 10\/12 from the length of 2\/12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20512\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_27-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_27\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_27-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_27.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14427\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-78.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 8 Add and Subtract Fractions 78\" width=\"116\" height=\"65\" \/><\/p>\n<p>Answer: 3\/5<br \/>\nTake away a length of 4\/5 from the length of 1\/5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20513\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-28.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-28\" width=\"291\" height=\"75\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14317\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-79.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 79\" width=\"119\" height=\"61\" \/><\/p>\n<p>Answer: 6\/2 = 3<br \/>\nTake away a length of 9\/2 from the length of 3\/2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20516\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29-300x59.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29\" width=\"300\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29-300x59.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29.jpg 664w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14318\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-80.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 80\" width=\"135\" height=\"56\" \/><\/p>\n<p>Answer: 10\/6<br \/>\nTake away a length of 15\/6 from the length of 5\/6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20517\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30-300x63.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30\" width=\"300\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30-300x63.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30.jpg 664w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14319\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-81.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 81\" width=\"157\" height=\"64\" \/><\/p>\n<p>Answer: \\(\\frac{26}{100}\\)<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{76}{100}\\) &#8211; \\(\\frac{50}{100}\\) = \\(\\frac{26}{100}\\)<\/p>\n<p>Question 9.<br \/>\nYou need to walk \\(\\frac{3}{4}\\) mile for your physical education class. So far, you have walked \\(\\frac{2}{4}\\) mile. How much farther do you need to walk?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou need to walk \\(\\frac{3}{4}\\) mile for your physical education class. So far, you have walked \\(\\frac{2}{4}\\) mile.<br \/>\n\\(\\frac{3}{4}\\) &#8211; \\(\\frac{2}{4}\\) = \\(\\frac{1}{4}\\)<br \/>\nYou need to walk \\(\\frac{1}{4}\\) miles more.<\/p>\n<p>Question 10.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich expressions have a difference of \\(\\frac{4}{5}\\) ?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14320\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-82.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 82\" width=\"480\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-82.png 480w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-82-300x49.png 300w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/p>\n<p>Answer:<br \/>\n5\/5 &#8211; 1\/5 = 4\/5<br \/>\n10\/5 &#8211; 6\/5 = 4\/5<br \/>\n6\/5 &#8211; 3\/5 = 3\/5<br \/>\n9\/5 &#8211; 5\/5 = 4\/5<br \/>\ni, ii, iv has the difference of \\(\\frac{4}{5}\\)<\/p>\n<p>Question 11.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite the subtraction equation represented by the model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14321\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-83.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 83\" width=\"216\" height=\"96\" \/><\/p>\n<p>Answer: \\(\\frac{7}{8}\\) &#8211; \\(\\frac{4}{8}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Question 12.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain why the numerator changes when you subtract fractions with like denominators, but the denominator stays the same.<\/p>\n<p>Answer:<br \/>\nThe most simple fraction subtraction problems are those that have two proper fractions with a common denominator. That is, each denominator is the same. The process is just as it is for the addition of fractions with like denominators, except you subtract! You subtract the second numerator from the first and keep the denominator the same.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA lizard\u2019s tail is \\(\\frac{10}{12}\\) foot long. It sheds a \\(\\frac{7}{12}\\) foot long part of its tail to escape a predator. How long is the remaining part of the lizard\u2019s tail?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14322\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-84.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 84\" width=\"225\" height=\"219\" \/><br \/>\nBecause each fraction represents a part of the same whole, you can take away a part.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14323\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 85\" width=\"592\" height=\"248\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85.png 592w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85-300x126.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA lizard\u2019s tail is \\(\\frac{10}{12}\\) foot long. It sheds a \\(\\frac{7}{12}\\) foot long part of its tail to escape a predator.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20520\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85-300x126.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85\" width=\"300\" height=\"126\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85-300x126.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85.jpg 592w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nYou have \\(\\frac{9}{8}\\) cups of raisins. You eat \\(\\frac{2}{8}\\) cup. What fraction of a cup of raisins do you have left?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14324\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-86.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 86\" width=\"216\" height=\"125\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou have \\(\\frac{9}{8}\\) cups of raisins. You eat \\(\\frac{2}{8}\\) cup.<br \/>\n\\(\\frac{9}{8}\\) &#8211; \\(\\frac{2}{8}\\) = \\(\\frac{7}{8}\\)<br \/>\nThus \\(\\frac{7}{8}\\) fraction of a cup of raisins is left.<\/p>\n<p>Question 14.<br \/>\nA large bottle has \\(\\frac{7}{4}\\) quarts of liquid soap. A small bottle has \\(\\frac{3}{4}\\) quart of liquid soap. How much more soap is in the large bottle than in the small bottle?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA large bottle has \\(\\frac{7}{4}\\) quarts of liquid soap. A small bottle has \\(\\frac{3}{4}\\) quart of liquid soap.<br \/>\n\\(\\frac{7}{4}\\) &#8211; \\(\\frac{3}{4}\\) = \\(\\frac{4}{4}\\) = 1<br \/>\nThus 1 more soap is in the large bottle than in the small bottle.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou need 2 cups of milk for a recipe. You have cup of \\(\\frac{1}{3}\\) milk. How much more milk do you need? Explain.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou need 2 cups of milk for a recipe. You have cup of \\(\\frac{1}{3}\\) milk.<br \/>\n2 \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{2}{3}\\)<br \/>\nThus \\(\\frac{2}{3}\\) more milk you need.<\/p>\n<h3><a id=\"Use_Models_to_subtract_Fractions_Homework_&amp;_Practice_8.4\"><\/a>Use Models to subtract Fractions Homework &amp; Practice 8.4<\/h3>\n<p>Find the difference. Explain how you used the model to subtract.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14325\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-87.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 87\" width=\"138\" height=\"140\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20524\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-87.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-87\" width=\"138\" height=\"140\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14326\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-88.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 88\" width=\"265\" height=\"140\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20525\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-88.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-88\" width=\"265\" height=\"140\" \/><\/p>\n<p>Find the difference. Use a model or a number line to help.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14327\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-89.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 89\" width=\"138\" height=\"58\" \/><\/p>\n<p>Answer: 15\/10<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20527\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25\" width=\"291\" height=\"72\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14328\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-90.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 90\" width=\"135\" height=\"63\" \/><\/p>\n<p>Answer: 10\/5<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-20528\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-3rd-Grade-Answer-Key-Grade-4-Chapter-8-Add-Subtract-Fractions-img_31-300x54.jpg\" alt=\"BIM 3rd Grade Answer Key Grade 4 Chapter 8 Add &amp; Subtract Fractions img_31\" width=\"300\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-3rd-Grade-Answer-Key-Grade-4-Chapter-8-Add-Subtract-Fractions-img_31-300x54.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-3rd-Grade-Answer-Key-Grade-4-Chapter-8-Add-Subtract-Fractions-img_31.jpg 639w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14329\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-91.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 91\" width=\"152\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-91.png 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-91-150x69.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/p>\n<p>Answer: 8\/12<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-20531\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_32-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_32\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_32-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_32.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14330\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-92.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 92\" width=\"131\" height=\"58\" \/><\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-20532\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-226-1.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-226\" width=\"272\" height=\"131\" \/><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14331\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-93.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 93\" width=\"125\" height=\"60\" \/><\/p>\n<p>Answer: 7\/4<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-20535\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-300x58.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146\" width=\"300\" height=\"58\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-300x58.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146.jpg 316w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14332\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-94.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 94\" width=\"156\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{70}{100}\\) &#8211; \\(\\frac{6}{100}\\) = \\(\\frac{64}{100}\\)<\/p>\n<p>Question 9.<br \/>\nYou have \\(\\frac{2}{3}\\) yard of ribbon. You cut off \\(\\frac{1}{3}\\) yard of the ribbon. How much ribbon do you have left?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou have \\(\\frac{2}{3}\\) yard of ribbon. You cut off \\(\\frac{1}{3}\\) yard of the ribbon.<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{2}{3}\\) &#8211; \\(\\frac{1}{3}\\) = \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{1}{3}\\) ribbon has left.<\/p>\n<p>Question 10.<br \/>\n<strong>Structure<\/strong><br \/>\nWhen using circular models to find the difference of \\(\\frac{4}{2}\\) and \\(\\frac{1}{2}\\), why do you shade two circles to represent \\(\\frac{4}{2}\\)?<\/p>\n<p>Answer:<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{4}{2}\\) &#8211; \\(\\frac{1}{2}\\) = \\(\\frac{3}{2}\\)<\/p>\n<p>Question 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nIn a box of pens, \\(\\frac{3}{4}\\) of the pens are blue. Your friend takes \\(\\frac{1}{4}\\) of the blue pens and says that now \\(\\frac{2}{4}\\) of the pens in the box are blue. Is your friend correct? Explain.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nIn a box of pens, \\(\\frac{3}{4}\\) of the pens are blue. Your friend takes \\(\\frac{1}{4}\\) of the blue pens and says that now \\(\\frac{2}{4}\\) of the pens in the box are blue.<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{3}{4}\\) &#8211; \\(\\frac{1}{4}\\) = \\(\\frac{2}{4}\\)<br \/>\nYes, your friend is correct.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUsing numerators that even number, write two different subtraction equations that each have a difference of 1.<\/p>\n<p>Answer: \\(\\frac{6}{4}\\) &#8211; \\(\\frac{2}{4}\\) = \\(\\frac{4}{4}\\) = 1<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nIn our solar system, \\(\\frac{6}{8}\\) of the planets have moons, and \\(\\frac{4}{8}\\) of the planets have moons and rings. What fraction of the planets in our solar system have moons, but do not have rings?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nIn our solar system, \\(\\frac{6}{8}\\) of the planets have moons, and \\(\\frac{4}{8}\\) of the planets have moons and rings.<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{6}{8}\\) &#8211; \\(\\frac{4}{8}\\) = \\(\\frac{2}{8}\\)<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA professional pumpkin carver carves a pumpkin that weighs \\(\\frac{7}{10}\\) ton. He carves a second pumpkin that weighs \\(\\frac{6}{10}\\) ton. How much heavier is the first pumpkin than the second pumpkin?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14333\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-95.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 95\" width=\"237\" height=\"160\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA professional pumpkin carver carves a pumpkin that weighs \\(\\frac{7}{10}\\) ton. He carves a second pumpkin that weighs \\(\\frac{6}{10}\\) ton.<br \/>\nThe denominators of both the fractions are the same. So subtract the numerators.<br \/>\n\\(\\frac{7}{10}\\) &#8211; \\(\\frac{6}{10}\\) = \\(\\frac{1}{10}\\)<br \/>\nThe first pumpkin is \\(\\frac{1}{10}\\) heavier than the second pumpkin.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find an equivalent fraction.<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{7}{4}\\)<\/p>\n<p>Answer:<br \/>\nThe equivalent fraction of \\(\\frac{7}{4}\\) is given below,<br \/>\n\\(\\frac{7}{4}\\) \u00d7 \\(\\frac{2}{2}\\) = \\(\\frac{14}{8}\\)<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{3}{5}\\)<\/p>\n<p>Answer:<br \/>\nThe equivalent fraction of \\(\\frac{3}{5}\\) is given below,<br \/>\n\\(\\frac{3}{5}\\) \u00d7 \\(\\frac{3}{3}\\) = \\(\\frac{9}{15}\\)<\/p>\n<p>Question 17.<br \/>\n\\(\\frac{2}{3}\\)<\/p>\n<p>Answer:<br \/>\nThe equivalent fraction of \\(\\frac{2}{3}\\) is given below,<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{2}{2}\\) = \\(\\frac{4}{6}\\)<\/p>\n<h3><a id=\"Lesson_8.5_Subtract_Fractions_with_Like_Denominators\"><\/a>Lesson 8.5 Subtract Fractions with Like Denominators<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Write each fraction as a sum of unit fractions. Use models to help.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14334\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 96\" width=\"550\" height=\"275\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96.png 550w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-300x150.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><br \/>\nHow many more unit fractions did you use to rewrite \\(\\frac{4}{5}\\) than \\(\\frac{3}{5}\\)?<br \/>\nHow does this relate to the difference \\(\\frac{4}{5}\\) &#8211; \\(\\frac{3}{5}\\) ?<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20558\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-300x150.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96\" width=\"300\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-300x150.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96.jpg 550w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n\\(\\frac{4}{5}\\) &#8211; \\(\\frac{3}{5}\\) = \\(\\frac{1}{5}\\)<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nHow can you use the numerators and the denominators to subtract fractions with like denominators? Explain why your method makes sense.<\/p>\n<p>Answer: Steps on How to Add and Subtract Fractions with the Same Denominator. To add fractions with like or the same denominator, simply add the numerators then copy the common denominator. Always reduce your final answer to its lowest term.<\/p>\n<p><strong>Think and Grow: Subtract Fractions<\/strong><\/p>\n<p>To subtract fractions with like denominators, subtract the numerators. The denominator stays the same.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14335\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-97.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 97\" width=\"152\" height=\"58\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-97.png 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-97-150x58.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14336\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 98\" width=\"681\" height=\"473\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98.png 681w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98-300x208.png 300w\" sizes=\"(max-width: 681px) 100vw, 681px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20560\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98-300x208.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98\" width=\"300\" height=\"208\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98-300x208.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98.jpg 681w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Subtract.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14337\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-100.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 100\" width=\"147\" height=\"125\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-20562\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-100.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-100\" width=\"147\" height=\"125\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14338\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-101.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 101\" width=\"118\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators<br \/>\n1 can be written as \\(\\frac{12}{12}\\)<br \/>\n\\(\\frac{12}{12}\\) &#8211; \\(\\frac{8}{12}\\) = (12 &#8211; 8)\/12<br \/>\n= \\(\\frac{4}{12}\\) or \\(\\frac{1}{3}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14339\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-102.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 102\" width=\"147\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{50}{100}\\) &#8211; \\(\\frac{30}{100}\\) = (50 &#8211; 30)\/100<br \/>\n= \\(\\frac{20}{100}\\) or \\(\\frac{1}{5}\\)<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Subtract.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14340\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-103.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 103\" width=\"123\" height=\"53\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20568\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_37-300x87.jpg\" alt=\"Big Ideas Math Book 4th Grade Answer Key Chapter 8 Add and Subtract Fractions img_37\" width=\"300\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_37-300x87.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-4th-Grade-Answer-Key-Chapter-8-Add-and-Subtract-Fractions-img_37.jpg 418w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14341\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-104.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 104\" width=\"137\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20564\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_35-300x71.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_35\" width=\"300\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_35-300x71.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_35-768x181.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_35.jpg 843w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14342\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-105.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 105\" width=\"130\" height=\"70\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{12}{6}\\) &#8211; \\(\\frac{7}{6}\\) = (12- 7)\/6<br \/>\n\\(\\frac{5}{6}\\)<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14343\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-106.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 106\" width=\"123\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{4}{5}\\) &#8211; \\(\\frac{3}{5}\\) = (4- 3)\/5<br \/>\n\\(\\frac{1}{5}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14344\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-107.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 107\" width=\"148\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{60}{100}\\) &#8211; \\(\\frac{43}{100}\\) = (60 &#8211; 43)\/100<br \/>\n\\(\\frac{17}{100}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14345\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-108.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 108\" width=\"123\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{10}{2}\\) &#8211; \\(\\frac{2}{2}\\) = (10 &#8211; 2)\/2<br \/>\n\\(\\frac{8}{4}\\) = 2<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14346\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-109.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 109\" width=\"128\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators.<br \/>\n\\(\\frac{12}{12}\\) &#8211; \\(\\frac{7}{12}\\) = (12 &#8211; 7)\/12<br \/>\n= \\(\\frac{5}{12}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20563\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_34-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_34\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_34-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_34.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14347\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-110.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 110\" width=\"123\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators<br \/>\n1 can be written as \\(\\frac{8}{8}\\)<br \/>\n\\(\\frac{8}{8}\\) &#8211; \\(\\frac{5}{8}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14348\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-111.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 111\" width=\"116\" height=\"53\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators<br \/>\n2 can be written as \\(\\frac{8}{4}\\)<br \/>\n\\(\\frac{8}{4}\\) &#8211; \\(\\frac{1}{4}\\) = \\(\\frac{7}{4}\\)<\/p>\n<p>Question 13.<br \/>\nYou have 1 gallon of paint. You use \\(\\frac{2}{3}\\) gallon to paint a wall. How much paint do you have left?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14349\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-112.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 112\" width=\"114\" height=\"159\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou have 1 gallon of paint. You use \\(\\frac{2}{3}\\) gallon to paint a wall.<br \/>\nFirst, make the denominators common and then subtract the numerators<br \/>\n1 &#8211; \\(\\frac{2}{3}\\)<br \/>\n1 can be written as \\(\\frac{3}{3}\\)<br \/>\n\\(\\frac{3}{3}\\) &#8211; \\(\\frac{2}{3}\\) = \\(\\frac{1}{3}\\)<\/p>\n<p>Question 14.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWhy is it unreasonable to get a difference of \\(\\frac{7}{8}\\) when subtracting \\(\\frac{1}{8}\\) from \\(\\frac{7}{8}\\)? Use a model to support your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14350\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-113.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 113\" width=\"234\" height=\"84\" \/><\/p>\n<p>Answer:<br \/>\nThe difference of \\(\\frac{7}{8}\\) when subtracting \\(\\frac{1}{8}\\) from \\(\\frac{7}{8}\\) is,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20569\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-113.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-113\" width=\"234\" height=\"84\" \/><\/p>\n<p>Question 15.<br \/>\nYour friend says each difference is \\(\\frac{3}{10}\\). Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14351\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-114.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 114\" width=\"124\" height=\"106\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20565\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_36-300x71.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_36\" width=\"300\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_36-300x71.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_36-768x181.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_36.jpg 843w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nYour friend is correct.<br \/>\n10\/10 &#8211; 7\/10 = 3\/10<br \/>\n100\/100 = 70\/100 = 30\/100 = 3\/10<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA flock of geese has completed \\(\\frac{5}{12}\\) of its total migration. What fraction of its migration does the flock of geese have left to complete?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14352\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-115.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 115\" width=\"214\" height=\"163\" \/><br \/>\nBecause the total migration is 1 whole, find 1 \u2212 \\(\\frac{5}{12}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14353\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions 116\" width=\"600\" height=\"245\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116.png 600w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116-300x123.png 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA flock of geese has completed \\(\\frac{5}{12}\\) of its total migration.<br \/>\nBecause the total migration is 1 whole, find 1 \u2212 \\(\\frac{5}{12}\\).<br \/>\nFirst, make the denominators common and then subtract the numerators.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20566\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116-300x123.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116\" width=\"300\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116-300x123.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116.jpg 600w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nA runner has completed \\(\\frac{6}{10}\\) of a race. What fraction of the race does the runner have left to complete?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA runner has completed \\(\\frac{6}{10}\\) of a race.<br \/>\n1 &#8211; \\(\\frac{6}{10}\\)<br \/>\n1 can be written as \\(\\frac{10}{10}\\)<br \/>\n\\(\\frac{10}{10}\\) &#8211; \\(\\frac{6}{10}\\) = \\(\\frac{4}{10}\\)<br \/>\nThe runner has left \\(\\frac{4}{10}\\) fraction of the race to complete.<\/p>\n<p>Question 17.<br \/>\nA pizza buffet serves pizzas of the same size with different toppings. There is \\(\\frac{7}{8}\\) of a vegetable pizza and \\(\\frac{2}{8}\\) of a pineapple pizza left. How much more vegetable pizza is left than pineapple pizza?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA pizza buffet serves pizzas of the same size with different toppings.<br \/>\nThere is \\(\\frac{7}{8}\\) of a vegetable pizza and \\(\\frac{2}{8}\\) of a pineapple pizza left.<br \/>\n\\(\\frac{7}{8}\\) &#8211; \\(\\frac{2}{8}\\) = \\(\\frac{5}{8}\\)<br \/>\n\\(\\frac{5}{8}\\) more vegetable pizza is left than pineapple pizza.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nBaseball practice is 1 hour long. You stretch for 7 minutes and play catch for 8 minutes. What fraction of an hour do you have left to practice?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14233\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-117.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 117\" width=\"238\" height=\"248\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nBaseball practice is 1 hour long. You stretch for 7 minutes and play catch for 8 minutes.<br \/>\n7 minutes + 8 minutes = 15 minutes<br \/>\n15 minutes = \\(\\frac{1}{4}\\) hour<br \/>\n1 &#8211; \\(\\frac{1}{4}\\) = \\(\\frac{3}{4}\\)<br \/>\nThus \\(\\frac{3}{4}\\) fraction of an hour is left to practice.<\/p>\n<h3><a id=\"Subtract_Fractions_with_Like_Denominators_Homework_&amp;_Practice_8.5\"><\/a>Subtract Fractions with Like Denominators Homework &amp; Practice 8.5<\/h3>\n<p>Subtract<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14234\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-118.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 118\" width=\"149\" height=\"121\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{7}{8}\\) &#8211; \\(\\frac{3}{8}\\) = \\(\\frac{4}{8}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-20589\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-118.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-118\" width=\"149\" height=\"121\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14235\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-119.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 119\" width=\"134\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{5}{4}\\) &#8211; \\(\\frac{3}{4}\\) = \\(\\frac{2}{4}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14236\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-120.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 120\" width=\"122\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{13}{5}\\) &#8211; \\(\\frac{6}{5}\\) = \\(\\frac{7}{6}\\)<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14237\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-121.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 121\" width=\"135\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{5}{12}\\) &#8211; \\(\\frac{1}{12}\\) = \\(\\frac{4}{12}\\)<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14238\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-122.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 122\" width=\"136\" height=\"51\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{9}{6}\\) &#8211; \\(\\frac{4}{6}\\) = \\(\\frac{5}{6}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14239\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-123.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 123\" width=\"127\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{11}{3}\\) &#8211; \\(\\frac{7}{3}\\) = \\(\\frac{4}{3}\\)<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14240\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-124.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 124\" width=\"149\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{10}{10}\\) &#8211; \\(\\frac{4}{10}\\) = \\(\\frac{6}{10}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14241\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-125.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 125\" width=\"136\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{20}{2}\\) &#8211; \\(\\frac{8}{2}\\) = \\(\\frac{12}{2}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14242\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-126.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 126\" width=\"159\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nThe denominators of the above fraction are the same so you have to subtract the numerators.<br \/>\n\\(\\frac{36}{100}\\) &#8211; \\(\\frac{21}{100}\\) = \\(\\frac{15}{100}\\)<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14243\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-127.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 127\" width=\"125\" height=\"55\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators.<br \/>\n1 can be written as 5\/5.<br \/>\n\\(\\frac{5}{5}\\) &#8211; \\(\\frac{3}{5}\\) = \\(\\frac{2}{5}\\)<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14244\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 128\" width=\"127\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators.<br \/>\n2 can be written as 8\/4<br \/>\n\\(\\frac{8}{4}\\) &#8211; \\(\\frac{2}{4}\\) = \\(\\frac{6}{4}\\)<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14245\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-129.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 129\" width=\"134\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\nFirst, make the denominators common and then subtract the numerators<br \/>\n3 can be written as 24\/8.<br \/>\n\\(\\frac{24}{8}\\) &#8211; \\(\\frac{15}{8}\\) = \\(\\frac{9}{8}\\)<\/p>\n<p>Question 13.<br \/>\nA family eats \\(\\frac{2}{3}\\) of a tray of lasagna. What fraction of the tray of lasagna is left?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA family eats \\(\\frac{2}{3}\\) of a tray of lasagna.<br \/>\n1 &#8211; \\(\\frac{2}{3}\\)<br \/>\n1 can be written as \\(\\frac{3}{3}\\)<br \/>\n\\(\\frac{3}{3}\\) &#8211; \\(\\frac{2}{3}\\) = \\(\\frac{1}{3}\\)<br \/>\nTherefore \\(\\frac{1}{3}\\) fraction of the tray of lasagna is left.<\/p>\n<p>Question 14.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how \ufb01nding is \\(\\frac{7}{10}-\\frac{4}{10}\\) similar to \ufb01nding 7 &#8211; 4.<\/p>\n<p>Answer:<br \/>\nYes \\(\\frac{7}{10}-\\frac{4}{10}\\) similar to \ufb01nding 7 &#8211; 4. Because the denominators of the fractions are the same.<br \/>\n\\(\\frac{7}{10}-\\frac{4}{10}\\) = \\(\\frac{3}{10}\\)<\/p>\n<p>Question 15.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nThe model shows equal parts of a 1 whole. Write a subtraction problem whose answer is shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14246\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-130.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 130\" width=\"274\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\nBy seeing the above figure we can write the subtraction problem.<br \/>\n1 &#8211; \\(\\frac{3}{8}\\)<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nyou fill \\(\\frac{2}{4}\\) of your plate with vegetables. What fraction of your plate does not contain vegetables?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nyou fill \\(\\frac{2}{4}\\) of your plate with vegetables.<br \/>\n1 &#8211; \\(\\frac{2}{4}\\)<br \/>\n1 can be written as \\(\\frac{4}{4}\\)<br \/>\n\\(\\frac{4}{4}\\) &#8211; \\(\\frac{2}{4}\\) = \\(\\frac{2}{4}\\)<br \/>\nThus \\(\\frac{2}{4}\\) fraction of your plate does not contain vegetables.<\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA group of students designs a rectangular playground. They use \\(\\frac{2}{8}\\) of the playground for a basketball court and \\(\\frac{3}{8}\\) of the playground for a soccer field. How much space is left?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA group of students designs a rectangular playground.<br \/>\nThey use \\(\\frac{2}{8}\\) of the playground for a basketball court and \\(\\frac{3}{8}\\) of the playground for a soccer field.<br \/>\n\\(\\frac{2}{8}\\) + \\(\\frac{3}{8}\\) = \\(\\frac{5}{8}\\)<br \/>\n1 &#8211; \\(\\frac{5}{8}\\) = \\(\\frac{3}{8}\\)<br \/>\nThus \\(\\frac{3}{8}\\) space is left.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the quotient and the remainder<\/p>\n<p>Question 18.<br \/>\n34 \u00f7 7 = ___R___<\/p>\n<p>Answer: 4R6<\/p>\n<p>Explanation:<br \/>\n34 \u00f7 7 = \\(\\frac{34}{7}\\)<br \/>\n\\(\\frac{34}{7}\\) = 4R6<br \/>\nThus the quotient is 4 and the remainder is 6.<\/p>\n<p>Question 19.<br \/>\n28 \u00f7 3 = ___R___<\/p>\n<p>Answer: 9 R1<\/p>\n<p>Explanation:<br \/>\n28 \u00f7 3 = \\(\\frac{28}{3}\\)<br \/>\n\\(\\frac{28}{3}\\) = 9 R1<br \/>\nThus the quotient is 9 and the remainder is 1.<\/p>\n<h3><a id=\"Lesson_8.6_Model_Fractions_and_Mixed_Numbers\"><\/a>Lesson 8.6 Model Fractions and Mixed Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Draw a model to show 1 + 1 + \\(\\frac{2}{3}\\).<\/p>\n<p>Use your model to write the sum as a fraction.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-21075\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_37.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_37\" width=\"236\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_37.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_37-150x150.jpg 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nHow can you write a fraction greater than 1 as the sum of a whole number and a fraction less than 1? Explain.<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{2}\\)\u00a0 = 1 \\(\\frac{1}{2}\\)<br \/>\nThe fraction 1 \\(\\frac{1}{2}\\) the whole fraction is greater than 1 and the fraction is less than 1.<\/p>\n<p><strong>Think and Grow: Write Fractions and Mixed Numbers<\/strong><\/p>\n<p>A mixed number represents the sum of a whole number and a fraction less than 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14247\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 132\" width=\"312\" height=\"248\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132.png 312w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132-300x238.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14248\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 133\" width=\"577\" height=\"217\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133-300x113.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21073\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133-300x113.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133\" width=\"300\" height=\"113\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133-300x113.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133.jpg 577w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nWrite \\(\\frac{5}{2}\\) as a mixed number.<\/p>\n<p>Find how many wholes are in \\(\\frac{5}{2}\\) and how many halves are left over.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14249\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 134\" width=\"512\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134.png 512w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134-300x132.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21074\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134-300x132.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134\" width=\"300\" height=\"132\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134-300x132.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134.jpg 512w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nWrite 3\\(\\frac{1}{4}\\) as a fraction. Use a model or a number line to help.<\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-21076\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-math-4th-grade-answers-chapter-8-img_38-300x56.jpg\" alt=\"Big Ideas math 4th grade answers chapter 8 img_38\" width=\"300\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-math-4th-grade-answers-chapter-8-img_38-300x56.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-math-4th-grade-answers-chapter-8-img_38.jpg 518w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nWrite \\(\\frac{9}{6}\\) as a mixed number. Use a model or a number line to help.<\/p>\n<p>Answer:<br \/>\n\\(\\frac{9}{6}\\) can be written as \\(\\frac{3}{2}\\)<br \/>\nNow convert \\(\\frac{3}{2}\\) into the mixed fraction<br \/>\n\\(\\frac{3}{2}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21078\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-4th-Grade-Answer-key-Chapter-8-Add-and-subtract-fractions-img_39-300x59.jpg\" alt=\"BIM 4th Grade Answer key Chapter 8 Add and subtract fractions img_39\" width=\"300\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-4th-Grade-Answer-key-Chapter-8-Add-and-subtract-fractions-img_39-300x59.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-4th-Grade-Answer-key-Chapter-8-Add-and-subtract-fractions-img_39.jpg 505w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Write the mixed number as a fraction.<\/p>\n<p>Question 3.<br \/>\n3\\(\\frac{4}{5}\\)<\/p>\n<p>Answer: \\(\\frac{19}{5}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n5 \u00d7 3 = 15<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n15 + 4 = 19<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n19\/5<\/p>\n<p>Question 4.<br \/>\n2\\(\\frac{1}{3}\\)<\/p>\n<p>Answer: \\(\\frac{7}{3}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n3 \u00d7 2 = 6<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n6 + 1 = 7<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n7\/3<\/p>\n<p>Question 5.<br \/>\n6\\(\\frac{7}{12}\\)<\/p>\n<p>Answer: \\(\\frac{79}{12}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n12 \u00d7 6 = 72<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n72 + 7 = 79<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n79\/12<\/p>\n<p>Question 6.<br \/>\n1\\(\\frac{82}{100}\\)<\/p>\n<p>Answer: \\(\\frac{182}{100}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n100 \u00d7 1 = 100<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n100 + 82 = 182<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n\\(\\frac{182}{100}\\)<\/p>\n<p>Question 7.<br \/>\n11\\(\\frac{3}{8}\\)<\/p>\n<p>Answer: \\(\\frac{91}{8}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n8 \u00d7 11 = 88<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n88 + 3 = 91<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n91\/8<\/p>\n<p>Question 8.<br \/>\n9\\(\\frac{5}{10}\\)<\/p>\n<p>Answer: \\(\\frac{95}{10}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n10 \u00d7 9 = 90<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n90 + 5 = 95<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n95\/10<\/p>\n<p>Write the fraction as a mixed number or a whole number.<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{9}{8}\\)<\/p>\n<p>Answer: 1 \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\n9\u00f78=1R1<br \/>\n\\(\\frac{9}{8}\\) = 1 \\(\\frac{1}{8}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{19}{3}\\)<\/p>\n<p>Answer: 6 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n19\u00f73=6R1<br \/>\n\\(\\frac{19}{3}\\) = 6 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{38}{5}\\)<\/p>\n<p>Answer: 7 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n38\u00f75=7R3<br \/>\n\\(\\frac{38}{5}\\) = 7 \\(\\frac{3}{5}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{22}{10}\\)<\/p>\n<p>Answer: 2 \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\n11\u00f75=2R1<br \/>\n\\(\\frac{22}{10}\\) = 2 \\(\\frac{1}{5}\\)<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{460}{100}\\)<\/p>\n<p>Answer: 4 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n23\u00f75=4R3<br \/>\n\\(\\frac{460}{100}\\) = 4 \\(\\frac{3}{5}\\)<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{20}{4}\\)<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\n4 divides 20 five times.<br \/>\n\\(\\frac{20}{4}\\) = 5<\/p>\n<p>Compare<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14250\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 135\" width=\"78\" height=\"50\" \/><\/p>\n<p>Answer: =<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{2}\\) can be written as 1 \\(\\frac{1}{2}\\)<br \/>\n1 \u00d7 2 + 1 = 3<br \/>\nSo, 1 \\(\\frac{1}{2}\\) = \\(\\frac{3}{2}\\)<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14251\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 136\" width=\"93\" height=\"57\" \/><\/p>\n<p>Answer: &gt;<\/p>\n<p>Explanation:<br \/>\n3\\(\\frac{3}{12}\\) can be written as \\(\\frac{39}{12}\\)<br \/>\n\\(\\frac{39}{12}\\) &gt; \\(\\frac{15}{12}\\)<br \/>\nSo, 3\\(\\frac{3}{12}\\) &gt; \\(\\frac{15}{12}\\)<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14252\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 137\" width=\"71\" height=\"68\" \/><\/p>\n<p>Answer: &lt;<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{21}{6}\\) can be written as 3 \\(\\frac{3}{6}\\) or 3 \\(\\frac{1}{2}\\)<br \/>\nSo, 3 \\(\\frac{1}{2}\\) &lt; 4<br \/>\n\\(\\frac{21}{6}\\) &lt; 4<\/p>\n<p>Question 18.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong> Which expression does not Belong to the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14253\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 138\" width=\"396\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138.png 396w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138-300x52.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/p>\n<p>Answer:<br \/>\n3 \\(\\frac{2}{3}\\) = \\(\\frac{11}{3}\\)<br \/>\n\\(\\frac{9}{3}\\) + \\(\\frac{3}{3}\\) = \\(\\frac{12}{3}\\)<br \/>\n\\(\\frac{3}{3}\\) + \\(\\frac{3}{3}\\) +\\(\\frac{3}{3}\\) + \\(\\frac{2}{3}\\) = \\(\\frac{11}{3}\\)<br \/>\n\\(\\frac{11}{3}\\)<br \/>\nSo, the second expression does not belong to the other three expressions.<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nFind the unknown Number<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14254\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 139\" width=\"89\" height=\"62\" \/><\/p>\n<p>Answer: 2<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{8}{6}\\) is 4\u00f73=1R1<br \/>\n\\(\\frac{8}{6}\\) = 1 \\(\\frac{2}{6}\\)<br \/>\nSo, the unknown number is 2.<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14255\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-140.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 140\" width=\"93\" height=\"74\" \/><\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{35}{4}\\) = 8 R 3<br \/>\n8 \\(\\frac{3}{4}\\) = \\(\\frac{35}{4}\\)<br \/>\nSo, the unknown number is 3.<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14256\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-141.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 141\" width=\"110\" height=\"60\" \/><\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\n12 \u00d7 10 + 9 = 129<br \/>\n\\(\\frac{129}{12}\\) = 10 \\(\\frac{9}{12}\\)<br \/>\nSo, the unknown number is 10.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA construction worker needs nails that are \\(\\frac{9}{4}\\) inches long. Which size of nails should the worker use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14257\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 142\" width=\"280\" height=\"98\" \/><br \/>\nWrite \\(\\frac{9}{4}\\) as a mixed number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14258\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 143\" width=\"565\" height=\"244\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143-300x130.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA construction worker needs nails that are \\(\\frac{9}{4}\\) inches long.<br \/>\nConvert from improper fraction to the mixed fraction.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21112\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143-300x130.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143\" width=\"300\" height=\"130\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143-300x130.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143.jpg 565w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 22.<br \/>\nYou need screws that are \\(\\frac{13}{8}\\) inches long to build a birdhouse. Which size of screws should you use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14259\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 144\" width=\"281\" height=\"112\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou need screws that are \\(\\frac{13}{8}\\) inches long to build a birdhouse.<br \/>\nConvert from improper fraction to the mixed fraction.<br \/>\n\\(\\frac{13}{8}\\) = 1 \\(\\frac{5}{8}\\)<br \/>\n8 \u00d7 1 + 5 = 13<br \/>\nSo, you should use 1 \\(\\frac{5}{8}\\) inches of screws.<\/p>\n<p>Question 23.<br \/>\nYou and your friend each measure the distance between two bean bag toss boards. You record the distance as 3\\(\\frac{3}{5}\\) meters. Your friend records the distance as \\(\\frac{18}{5}\\) meters. Did you and your friend record the same distance? Explain.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou and your friend each measure the distance between two bean bag toss boards.<br \/>\nYou record the distance as 3\\(\\frac{3}{5}\\) meters. Your friend records the distance as \\(\\frac{18}{5}\\) meters.<br \/>\n3\\(\\frac{3}{5}\\)<br \/>\n5 \u00d7 3 + 3 = 18<br \/>\n3\\(\\frac{3}{5}\\) = \\(\\frac{18}{5}\\)<br \/>\nYes you and your friend record the same distance.<\/p>\n<p>Question 24.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou use a \\(\\frac{1}{3}\\)-cup scoop to measure 3\\(\\frac{1}{3}\\) cups of rice. How many times do you fill the scoop?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou use a \\(\\frac{1}{3}\\)-cup scoop to measure 3\\(\\frac{1}{3}\\) cups of rice.<br \/>\n\\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) = \\(\\frac{10}{3}\\)<br \/>\nYou need to measure 10 times to fill the scoop.<\/p>\n<p>Question 25.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA sunflower plant is \\(\\frac{127}{10}\\) centimeters tall. A snapdragon plant is 8\\(\\frac{9}{10}\\) centimeters tall. Which plant is taller? Explain.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA sunflower plant is \\(\\frac{127}{10}\\) centimeters tall. A snapdragon plant is 8\\(\\frac{9}{10}\\) centimeters tall.<br \/>\n8\\(\\frac{9}{10}\\) = \\(\\frac{89}{10}\\)<br \/>\n\\(\\frac{127}{10}\\) is greater than \\(\\frac{89}{10}\\)<br \/>\nSo, sunflower plant is taller.<\/p>\n<h3><a id=\"Model_Fractions_and_Mixed_Numbers_Homework_&amp;_Practice_8.6\"><\/a>Model Fractions and Mixed Numbers Homework &amp; Practice 8.6<\/h3>\n<p>Write a mixed number as a fraction.<\/p>\n<p>Question 1.<br \/>\n1\\(\\frac{7}{10}\\)<\/p>\n<p>Answer: \\(\\frac{17}{10}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n10 \u00d7 1 = 10<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n10 + 7 = 17<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n=17\/10<\/p>\n<p>Question 2.<br \/>\n1\\(\\frac{5}{6}\\)<\/p>\n<p>Answer: \\(\\frac{11}{6}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n6 \u00d7 1 = 6<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n6 + 5 = 11<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n11\/6<\/p>\n<p>Question 3.<br \/>\n2\\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{8}{3}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n3 \u00d7 2 = 6<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n6 + 2 = 8<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n8\/3<\/p>\n<p>Question 4.<br \/>\n4\\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{9}{2}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n2 \u00d7 4 = 8<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n8 + 1 = 9<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n9\/2<\/p>\n<p>Question 5.<br \/>\n3\\(\\frac{2}{8}\\)<\/p>\n<p>Answer: \\(\\frac{13}{4}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n8 \u00d7 3 = 24<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n24 + 2 = 26<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n26\/8<\/p>\n<p>Question 6.<br \/>\n9\\(\\frac{8}{12}\\).<\/p>\n<p>Answer: \\(\\frac{29}{3}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n12 \u00d7 9 = 108<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n108 + 8 = 116<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n116\/12 = \\(\\frac{29}{3}\\)<\/p>\n<p>write the fraction as a mixed number or a whole number.<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{5}\\)<\/p>\n<p>Answer: 1 \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the expression \\(\\frac{7}{5}\\)<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n7 \u00f7 5=1R2<br \/>\n\\(\\frac{7}{5}\\) = 1 \\(\\frac{2}{5}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{10}{3}\\)<\/p>\n<p>Answer: 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the expression \\(\\frac{10}{3}\\)<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n10\u00f73=3R1<br \/>\n\\(\\frac{10}{3}\\) = 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{15}{4}\\)<\/p>\n<p>Answer: 3 \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the expression \\(\\frac{15}{4}\\)<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n15\u00f74=3 R 3<br \/>\n\\(\\frac{15}{4}\\) = 3 \\(\\frac{3}{4}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{32}{6}\\)<\/p>\n<p>Answer: 5 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the expression \\(\\frac{32}{6}\\)<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{32}{6}\\) = \\(\\frac{16}{3}\\)<br \/>\n16\u00f73=5R1<br \/>\n\\(\\frac{32}{6}\\) = 5 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{75}{8}\\)<\/p>\n<p>Answer: 9 \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the expression \\(\\frac{75}{8}\\)<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n75\u00f78=9R3<br \/>\n\\(\\frac{75}{8}\\) = 9 \\(\\frac{3}{8}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{40}{10}\\)<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nGiven the expression \\(\\frac{40}{10}\\)<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{40}{10}\\) = \\(\\frac{4}{1}\\) = 4<br \/>\nThus \\(\\frac{40}{10}\\) = 4<\/p>\n<p>Compare<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14260\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 145\" width=\"94\" height=\"57\" \/><\/p>\n<p>Answer: &lt;<\/p>\n<p>Explanation:<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n5 \\(\\frac{1}{2}\\) = \\(\\frac{11}{2}\\)<br \/>\n\\(\\frac{11}{2}\\) &lt; \\(\\frac{15}{2}\\)<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14261\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 146\" width=\"113\" height=\"60\" \/><\/p>\n<p>Answer: =<\/p>\n<p>Explanation:<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{27}{12}\\) = \\(\\frac{27}{12}\\)<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14262\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 147\" width=\"102\" height=\"61\" \/><\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nWe have to convert the improper fraction to the mixed fraction.<br \/>\n6 \\(\\frac{7}{8}\\) = \\(\\frac{55}{8}\\)<br \/>\n\\(\\frac{55}{8}\\) &gt; \\(\\frac{50}{8}\\)<\/p>\n<p>Question 16.<br \/>\n<strong>Number Sense<\/strong><br \/>\nComplete the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14263\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 148\" width=\"518\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148.png 518w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148-300x89.png 300w\" sizes=\"(max-width: 518px) 100vw, 518px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-20575\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148-300x89.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148\" width=\"300\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148-300x89.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148.jpg 518w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou need pencil lead that is \\(\\frac{12}{10}\\) millimeters thick to complete an art project. Which size of pencil lead should you use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14264\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-149.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 149\" width=\"282\" height=\"93\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou need pencil lead that is \\(\\frac{12}{10}\\) millimeters thick to complete an art project.<br \/>\n1 \\(\\frac{1}{10}\\) = \\(\\frac{11}{10}\\)<br \/>\n1 \\(\\frac{2}{10}\\) = \\(\\frac{12}{10}\\)<br \/>\n1 \\(\\frac{4}{10}\\) = \\(\\frac{14}{10}\\)<br \/>\nYou should use 2nd pencil lead.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have a \\(\\frac{1}{4}\\)-cup measuring cup and a \\(\\frac{1}{2}\\)-cup measuring cup. What are two ways you can 2\\(\\frac{3}{4}\\) cups of water?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou have a \\(\\frac{1}{4}\\)-cup measuring cup and a \\(\\frac{1}{2}\\)-cup measuring cup.<br \/>\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{2}\\) = \\(\\frac{3}{4}\\)<br \/>\n2\\(\\frac{3}{4}\\) &#8211; \\(\\frac{3}{4}\\) = 2<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 19.<br \/>\n67 \u00d7 31 = ___<\/p>\n<p>Answer:<br \/>\nMultiply the two numbers 67 and 31.<br \/>\n67 \u00d7 31 = 2077<\/p>\n<p>Question 20.<br \/>\n83 \u00d7 47 = ___<\/p>\n<p>Answer:<br \/>\nMultiply the two numbers 83 and 47.<br \/>\n83 \u00d7 47 = 3901<\/p>\n<h3><a id=\"Lesson_8.7_Add_Mixed_Numbers\"><\/a>Lesson 8.7 Add Mixed Numbers<\/h3>\n<p>Use model to find 2\\(\\frac{3}{8}\\) + 1\\(\\frac{1}{8}\\).<\/p>\n<p>Answer: 3 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nRewriting our equation with parts separated<br \/>\n=2+3\/8+1+1\/8<br \/>\nSolving the whole number parts<br \/>\n2+1=3<br \/>\nSolving the fraction parts<br \/>\n3\/8+1\/8=4\/8<br \/>\nReducing the fraction part, 4\/8,<br \/>\n4\/8=1\/2<br \/>\nCombining the whole and fraction parts<br \/>\n3+1\/2=3 1\/2<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nHow can you use the whole number parts and the fractional parts to add mixed numbers with like denominators? Explain why your method makes sense.<\/p>\n<p>Answer: To add mixed numbers, we first add the whole numbers together, and then the fractions. If the sum of the fractions is an improper fraction, then we change it to a mixed number.<\/p>\n<p><strong>Think and Grow: Add Mixed Numbers<\/strong><\/p>\n<p>To add mixed numbers, add the fractional parts and add the whole number parts. Another way to add mixed numbers is to rewrite each number as a fraction, then add.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14265\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-150.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 150\" width=\"243\" height=\"282\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14266\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 151\" width=\"512\" height=\"212\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151.png 512w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151-300x124.png 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21182\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151-1-300x124.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151\" width=\"300\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151-1-300x124.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151-1.jpg 512w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 4\\(\\frac{2}{8}\\) + 2\\(\\frac{7}{8}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14267\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 152\" width=\"602\" height=\"366\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152.png 602w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152-300x182.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21183\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152-300x182.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152\" width=\"300\" height=\"182\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152-300x182.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152.jpg 602w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Add.<\/p>\n<p>Question 3.<br \/>\n5\\(\\frac{1}{3}\\) + 3\\(\\frac{2}{3}\\) = ___<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nRewriting our equation with parts separated<br \/>\n=5+1\/3+3+2\/3<br \/>\nSolving the whole number parts<br \/>\n5+3=8<br \/>\nSolving the fraction parts<br \/>\n1\/3+2\/3=33<br \/>\nReducing the fraction part, 3\/3,<br \/>\n3\/3=1\/1<br \/>\nSimplifying the fraction part, 1\/1,<br \/>\n1\/1=1<br \/>\nCombining the whole and fraction parts<br \/>\n8+1=9<\/p>\n<p>Question 4.<br \/>\n2\\(\\frac{8}{12}\\) + 7\\(\\frac{5}{12}\\) = ___<\/p>\n<p>Answer: 10 \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nRewriting our equation with parts separated<br \/>\n=2+8\/12+7+5\/12<br \/>\nSolving the whole number parts<br \/>\n2+7=9<br \/>\nSolving the fraction parts<br \/>\n8\/12+5\/12=13\/12<br \/>\nSimplifying the fraction part, 13\/12,<br \/>\n13\/12=1 1\/12<br \/>\nCombining the whole and fraction parts<br \/>\n9+1+1\/12=10 1\/12<\/p>\n<p>Question 5.<br \/>\n4 + 1\\(\\frac{1}{2}\\) = ___<\/p>\n<p>Answer: 5 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nRewriting our equation with parts separated<br \/>\n=4+1+1\/2<br \/>\nSolving the whole number parts<br \/>\n4+1=5<br \/>\nCombining the whole and fraction parts<br \/>\n5+1\/2=5 1\/2<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14268\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-153.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 153\" width=\"82\" height=\"98\" \/><\/p>\n<p>Answer: 5 \\(\\frac{2}{100}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nRewriting our equation with parts separated<br \/>\n=78\/100+124\/100 + 3<br \/>\nSolving the fraction parts<br \/>\n78\/100+124\/100=202\/100<br \/>\n3 + 202\/100 = 5 \\(\\frac{2}{100}\\)<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14269\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-154.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 154\" width=\"67\" height=\"138\" \/><\/p>\n<p>Answer: 16 \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n8 + 5 + 2 = 15<br \/>\n\\(\\frac{4}{8}\\) + \\(\\frac{3}{8}\\) + \\(\\frac{4}{8}\\) = (4 + 4 + 3)\/8 = \\(\\frac{11}{8}\\)<br \/>\n\\(\\frac{11}{8}\\) = 1 \\(\\frac{3}{8}\\)<br \/>\n15 + 1\\(\\frac{3}{8}\\) = 16 \\(\\frac{3}{8}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14270\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 155\" width=\"102\" height=\"141\" \/><\/p>\n<p>Answer: 24 \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n10 + 9 + 4 = 23<br \/>\n\\(\\frac{4}{5}\\) + \\(\\frac{2}{5}\\) + \\(\\frac{1}{5}\\) = \\(\\frac{7}{5}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{7}{5}\\) = 1 \\(\\frac{2}{5}\\)<br \/>\n23 + 1 \\(\\frac{2}{5}\\) = 24 \\(\\frac{2}{5}\\)<\/p>\n<p>Question 9.<br \/>\n<strong>Number Sense<\/strong><br \/>\nExplain how to use the addition properties to find <img loading=\"lazy\" class=\"alignnone size-full wp-image-14272\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-156.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 156\" width=\"103\" height=\"46\" \/> mentally. Then find the sum.<\/p>\n<p>Answer: 16 \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n6 + 8 + 1 = 15<br \/>\n\\(\\frac{3}{4}\\) + \\(\\frac{2}{4}\\) + \\(\\frac{1}{4}\\) = \\(\\frac{6}{4}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{6}{4}\\) = 1 \\(\\frac{2}{4}\\)<br \/>\n15 + 1 \\(\\frac{2}{4}\\) = 16 \\(\\frac{2}{4}\\)<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhen adding mixed numbers, is it always necessary to write the sum as a mixed number? Explain.<\/p>\n<p>Answer: To add mixed numbers, we first add the whole numbers together, and then the fractions. If the sum of the fractions is an improper fraction, then we change it to a mixed number.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the unknown number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14271\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-156.1.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 156.1\" width=\"149\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nLet the unknown number be x.<br \/>\n4 \\(\\frac{5}{6}\\) + x = 8 \\(\\frac{3}{6}\\)<br \/>\nx = 8 \\(\\frac{3}{6}\\) &#8211; 4 \\(\\frac{5}{6}\\)<br \/>\nx = 3 \\(\\frac{2}{3}\\)<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou pick 2\\(\\frac{3}{4}\\) pounds of cherries. Your friend picks 1\\(\\frac{2}{4}\\) pounds of cherries. How many pounds of cherries do you and your friend pick in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14273\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 157\" width=\"192\" height=\"163\" \/><br \/>\nAdd the amounts of cherries you and your friend each pick.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14274\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 158\" width=\"636\" height=\"306\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158.png 636w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158-300x144.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/p>\n<p>Answer:<br \/>\nYou pick 2\\(\\frac{3}{4}\\) pounds of cherries. Your friend picks 1\\(\\frac{2}{4}\\) pounds of cherries.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21268\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158-300x144.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158\" width=\"300\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158-300x144.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158.jpg 636w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nBefore noon, 2\\(\\frac{3}{8}\\) inches of snow falls in a city. Afternoon, 4\\(\\frac{6}{8}\\) inches of snow falls. How many inches of snow falls in the city that day?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nBefore noon, 2\\(\\frac{3}{8}\\) inches of snow falls in a city. Afternoon, 4\\(\\frac{6}{8}\\) inches of snow falls.<br \/>\n2\\(\\frac{3}{8}\\) + 4\\(\\frac{6}{8}\\)<br \/>\n2 + 4 = 6<br \/>\n\\(\\frac{3}{8}\\) + \\(\\frac{6}{8}\\) = \\(\\frac{9}{8}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{9}{8}\\) = 1 \\(\\frac{1}{8}\\)<br \/>\n1 \\(\\frac{1}{8}\\) inches of snow falls in the city that day.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA student driver must practice driving at night for a total of at least 10 hours. Has the student met the nighttime driving requirement yet?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14275\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-159.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 159\" width=\"268\" height=\"189\" \/><\/p>\n<p>Answer:<br \/>\n2 \\(\\frac{1}{2}\\) + 3 \\(\\frac{1}{2}\\) + 2 \\(\\frac{1}{2}\\)<br \/>\nFirst add the whole numbers<br \/>\n2 + 3 + 2 = 7<br \/>\n\\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\n7 + 1 \\(\\frac{1}{2}\\) = 8 \\(\\frac{1}{2}\\)<\/p>\n<h3><a id=\"Add_Mixed_Numbers_Homework_&amp;_Practice_8.7\"><\/a>Add Mixed Numbers Homework &amp; Practice 8.7<\/h3>\n<p>Add.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14276\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-160.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 160\" width=\"141\" height=\"65\" \/><\/p>\n<p>Answer: 12 \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n4 + 8 = 12<br \/>\nAdd the fractions<br \/>\n\\(\\frac{1}{5}\\) + \\(\\frac{3}{5}\\) = \\(\\frac{4}{5}\\)<br \/>\nNow add the fractions and thw whole numbers<br \/>\n12 + \\(\\frac{4}{5}\\) = 12 \\(\\frac{4}{5}\\)<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14277\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-161.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 161\" width=\"144\" height=\"62\" \/><\/p>\n<p>Answer: 20 \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n10 + 9 = 19<br \/>\nAdd the fractions<br \/>\n\\(\\frac{5}{8}\\) + \\(\\frac{6}{8}\\) = \\(\\frac{11}{8}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{11}{8}\\) = 1 \\(\\frac{3}{8}\\)<br \/>\nNow add the fractions and the whole numbers<br \/>\n19 + 1 \\(\\frac{3}{8}\\) = 20 \\(\\frac{3}{8}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14278\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-162.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 162\" width=\"128\" height=\"78\" \/><\/p>\n<p>Answer: 8 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n2 + 6 = 8<br \/>\nNow add the fractions and the whole numbers<br \/>\n\\(\\frac{1}{3}\\) + 8 = 8 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14279\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-163.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 163\" width=\"148\" height=\"56\" \/><\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n3 + 4 = 7<br \/>\n\\(\\frac{10}{12}\\) + \\(\\frac{10}{12}\\) = \\(\\frac{20}{12}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{20}{12}\\) = 1 \\(\\frac{8}{12}\\)<br \/>\nNow add the fractions and the whole numbers<br \/>\n7 + 1 \\(\\frac{8}{12}\\) = 8\u00a0\\(\\frac{8}{12}\\)<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14280\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-164.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 164\" width=\"143\" height=\"58\" \/><\/p>\n<p>Answer: 9 \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{11}{6}\\) = 1 \\(\\frac{5}{6}\\)<br \/>\n7 + 1 = 8<br \/>\n\\(\\frac{3}{6}\\) + \\(\\frac{5}{6}\\) = \\(\\frac{8}{6}\\)<br \/>\nNow add the fractions and the whole numbers<br \/>\n8 + \\(\\frac{8}{6}\\)<br \/>\n\\(\\frac{8}{6}\\) = 1 \\(\\frac{2}{6}\\)<br \/>\n8 + 1 \\(\\frac{2}{6}\\) = 9 \\(\\frac{2}{6}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14281\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-165.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 165\" width=\"176\" height=\"67\" \/><\/p>\n<p>Answer: 15 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nRewriting our equation with parts separated<br \/>\n=8+70\/100+6+55\/100<br \/>\nSolving the whole number parts<br \/>\n8+6=14<br \/>\nSolving the fraction parts<br \/>\n70\/100+55\/100=125\/100<br \/>\nReducing the fraction part, 125\/100,<br \/>\n125\/100=5\/4<br \/>\nSimplifying the fraction part, 5\/4,<br \/>\n5\/4=1 1\/4<br \/>\nCombining the whole and fraction parts<br \/>\n14+1+1\/4= 15 \\(\\frac{1}{4}\\)<\/p>\n<p>Add<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14282\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-166.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 166\" width=\"76\" height=\"122\" \/><\/p>\n<p>Answer: 11<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n5 + 3 + 2 = 10<br \/>\nNow add the fractional part,<br \/>\n3\/4 + 1\/4 = 1<br \/>\n10 + 1 = 11<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14283\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 167\" width=\"81\" height=\"143\" \/><\/p>\n<p>Answer: 12 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\nAdd the whole numbers<br \/>\n1 + 1 + 9 = 11<br \/>\n\\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\nCombining the whole and fraction parts<br \/>\n11 + 1 \\(\\frac{1}{2}\\) = 12 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14284\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-168.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 168\" width=\"75\" height=\"146\" \/><\/p>\n<p>Answer: 9\u00a0\\(\\frac{2}{10}\\)<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n3 + 5 = 8<br \/>\n\\(\\frac{4}{10}\\) + \\(\\frac{2}{10}\\) + \\(\\frac{6}{10}\\) = \\(\\frac{12}{10}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{12}{10}\\) = 1 \\(\\frac{2}{10}\\)<br \/>\nCombining the whole and fraction parts<br \/>\n8 + 1 \\(\\frac{2}{10}\\) = 9\u00a0\\(\\frac{2}{10}\\)<\/p>\n<p>Question 10.<br \/>\n<strong>Structure<\/strong><br \/>\nFind 7\\(\\frac{4}{5}\\) + 8\\(\\frac{2}{5}\\) two different ways. Which way do you prefer? Why?<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n7\\(\\frac{4}{5}\\) + 8\\(\\frac{2}{5}\\)<br \/>\nAdd the fractional parts and then the whole numbers.<br \/>\n7 + 8 = 15<br \/>\n\\(\\frac{4}{5}\\) + \\(\\frac{2}{5}\\) = \\(\\frac{6}{5}\\)<br \/>\nConvert it into the mixed fraction.<br \/>\n\\(\\frac{6}{5}\\) = 1 \\(\\frac{1}{5}\\)<br \/>\n15 + 1 \\(\\frac{1}{5}\\) = 16 \\(\\frac{1}{5}\\)<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA homeowner has two strings of lights. One is 8\\(\\frac{1}{3}\\) yards long. The other is 16\\(\\frac{2}{3}\\) yards long. He connects the strings of lights. How long will the string of lights be in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14285\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-169.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 169\" width=\"143\" height=\"125\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA homeowner has two strings of lights. One is 8 \\(\\frac{1}{3}\\) yards long. The other is 16 \\(\\frac{2}{3}\\) yards long. He connects the strings of lights.<br \/>\n8 \\(\\frac{1}{3}\\) + 16 \\(\\frac{2}{3}\\) = 24 \\(\\frac{3}{3}\\)<br \/>\n\\(\\frac{3}{3}\\) = 1<br \/>\n24 + 1 = 25<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou can play the song \u201cMary Had a Little Lamb\u201d by striking three glasses filled with water to make the tone. The first glass needs 1\\(\\frac{3}{4}\\) cups, the second glass needs 1\\(\\frac{1}{2}\\) cups, and the third glass needs 1\\(\\frac{1}{4}\\) cups of water. How much water do you need in all?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou can play the song \u201cMary Had a Little Lamb\u201d by striking three glasses filled with water to make the tone. The first glass needs 1\\(\\frac{3}{4}\\)cups, the second glass needs 1\\(\\frac{1}{2}\\) cups, and the third glass needs 1\\(\\frac{1}{4}\\) cups of water.<br \/>\n1\\(\\frac{1}{2}\\) + 1\\(\\frac{1}{4}\\) + 1\\(\\frac{3}{4}\\)<br \/>\n1 + 1 + 1 = 3<br \/>\n\\(\\frac{1}{2}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{3}{4}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\n3 + 1 \\(\\frac{1}{2}\\) = 4\u00a0\\(\\frac{1}{2}\\)<br \/>\nTherefore you need 4 \\(\\frac{1}{2}\\) cups of water.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Write the first six numbers in the pattern. Then describe another feature of the pattern.<\/p>\n<p>Question 13.<br \/>\nRule: Add 11.<br \/>\nFirst number: 22<\/p>\n<p>Answer:<br \/>\nThe first number is 22 you need to add 11 to it.<br \/>\n22 + 11 = 33<br \/>\n33 + 11 = 44<br \/>\n44 + 11 = 55<br \/>\n55 + 11 = 66<br \/>\n66 + 11 = 77<br \/>\n77 + 11 = 88<\/p>\n<p>Question 14.<br \/>\nRule: Multiply by 4.<br \/>\nFirst number: 7<\/p>\n<p>Answer:<br \/>\nThe first number is 7. You need to multiply by 4.<br \/>\n7 \u00d7 4 = 28<br \/>\n28 \u00d7 4 = 112<br \/>\n112 \u00d7 4 = 448<br \/>\n448 \u00d7 4 = 1792<br \/>\n1792 \u00d7 4 = 7168<br \/>\n7168 \u00d7 4 = 28672<\/p>\n<h3><a id=\"Lesson_8.8_Subtract_Mixed_Numbers\"><\/a>Lesson 8.8 Subtract Mixed Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use a model to find 2\\(\\frac{3}{8}\\) &#8211; 1\\(\\frac{1}{8}\\).<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{3}{8}\\) &#8211; 1\\(\\frac{1}{8}\\).<br \/>\nFirst subtract the whole numbers<br \/>\n2 &#8211; 1 = 1<br \/>\n\\(\\frac{3}{8}\\) &#8211; \\(\\frac{1}{8}\\) = \\(\\frac{2}{8}\\)<br \/>\nCombine the whole numbers and fractions.<br \/>\n1 \\(\\frac{2}{8}\\) = 1 \\(\\frac{1}{4}\\)<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nHow can you use the whole number parts and the fractional parts to subtract mixed numbers with like denominators? Explain why your method makes sense.<\/p>\n<p>Answer:<br \/>\nFirst, you have to subtract the whole number parts and then subtract the fraction parts with like denominators.<br \/>\nYou can subtract the mixed fractions by using the number line or model.<\/p>\n<p><strong>Think and Grow: subtract Mixed Numbers<\/strong><\/p>\n<p>To subtract mixed numbers, subtract the fractional parts and subtract the whole number parts. Another way to subtract mixed numbers is to rewrite each number as a fraction, then subtract.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14286\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 170\" width=\"660\" height=\"261\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170.png 660w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170-300x119.png 300w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21665\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170-300x119.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170\" width=\"300\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170-300x119.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170.jpg 660w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 5\\(\\frac{3}{6}\\) &#8211; 4\\(\\frac{5}{6}\\).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14287\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 171\" width=\"626\" height=\"282\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171.png 626w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171-300x135.png 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21667\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171-300x135.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171\" width=\"300\" height=\"135\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171-300x135.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171.jpg 626w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Subtract<\/p>\n<p>Question 1.<br \/>\n5\\(\\frac{4}{5}\\) &#8211; 1\\(\\frac{2}{5}\\) = ____<\/p>\n<p>Answer:<br \/>\nThere are enough fifths.<br \/>\nSubtract the whole numbers<br \/>\n5 &#8211; 1 = 4<br \/>\n\\(\\frac{4}{5}\\) &#8211; \\(\\frac{2}{5}\\) =\\(\\frac{2}{5}\\)<br \/>\n4 + \\(\\frac{2}{5}\\) = 4 \\(\\frac{2}{5}\\)<br \/>\nThus, 5\\(\\frac{4}{5}\\) &#8211; 1\\(\\frac{2}{5}\\) = 4 \\(\\frac{2}{5}\\)<\/p>\n<p>Question 2.<br \/>\n7\\(\\frac{1}{3}\\) &#8211; 2\\(\\frac{2}{3}\\) = _____<\/p>\n<p>Answer:<br \/>\nThere are not enough thirds.<br \/>\n7\\(\\frac{1}{3}\\) = 6 \\(\\frac{3}{3}\\) + \\(\\frac{1}{3}\\) = 6\\(\\frac{4}{3}\\)<br \/>\nSubtract the whole numbers<br \/>\n6 &#8211; 2 = 4<br \/>\n\\(\\frac{4}{3}\\) &#8211; \\(\\frac{2}{3}\\) = \\(\\frac{2}{3}\\)<br \/>\n4 + \\(\\frac{2}{3}\\) = 4 \\(\\frac{2}{3}\\)<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14288\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-172.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 172\" width=\"165\" height=\"77\" \/><\/p>\n<p>Answer:<br \/>\nThere are enough twelfths.<br \/>\nSubtract the whole numbers<br \/>\n15 &#8211; 4 = 11<br \/>\n\\(\\frac{10}{12}\\) &#8211; \\(\\frac{8}{12}\\) = \\(\\frac{2}{12}\\)<br \/>\n11 + \\(\\frac{2}{12}\\) = 11 \\(\\frac{2}{12}\\)<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14289\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-173.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 173\" width=\"142\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\nThere are enough eighths.<br \/>\n\\(\\frac{6}{8}\\) &#8211; \\(\\frac{6}{8}\\) = 0<br \/>\nSubtract the whole numbers<br \/>\n6 &#8211; 3 = 3<br \/>\n3 + 0 = 3<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14290\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-174.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 174\" width=\"154\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\nThere are not enough tenths.<br \/>\n5 \\(\\frac{7}{10}\\) can be written as 4 \\(\\frac{17}{10}\\)<br \/>\n4 \\(\\frac{17}{10}\\) &#8211; 1 \\(\\frac{9}{10}\\)<br \/>\nSubtract the whole numbers<br \/>\n4 &#8211; 1 = 3<br \/>\nSubtract the fractional parts<br \/>\n\\(\\frac{17}{10}\\) &#8211; \\(\\frac{9}{10}\\) = \\(\\frac{8}{10}\\)<br \/>\n3 + \\(\\frac{8}{10}\\) = 3 \\(\\frac{8}{10}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14291\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-175.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 175\" width=\"88\" height=\"103\" \/><\/p>\n<p>Answer:<br \/>\nThere are not enough hundreds.<br \/>\n11 \\(\\frac{50}{100}\\) can be written as 10 \\(\\frac{150}{100}\\)<br \/>\nSubtract the whole numbers<br \/>\n10 &#8211; 7 = 3<br \/>\nSubtract the fractional parts<br \/>\n\\(\\frac{150}{100}\\) &#8211; \\(\\frac{85}{100}\\) = \\(\\frac{65}{100}\\)<br \/>\n3 + \\(\\frac{65}{100}\\) = 3 \\(\\frac{65}{100}\\)<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14292\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-176.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 176\" width=\"75\" height=\"88\" \/><\/p>\n<p>Answer:<br \/>\nThere are not enough sixths.<br \/>\n8 can be written as 7 \\(\\frac{6}{6}\\)<br \/>\nSubtract the whole numbers<br \/>\n7 &#8211; 1 = 6<br \/>\nSubtract the fractional parts<br \/>\n\\(\\frac{6}{6}\\) &#8211; \\(\\frac{3}{6}\\) = \\(\\frac{3}{6}\\)<br \/>\n6 + \\(\\frac{3}{6}\\) = 6 \\(\\frac{3}{6}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14293\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-177.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 177\" width=\"85\" height=\"77\" \/><\/p>\n<p>Answer:<br \/>\nThere are not enough fourths.<br \/>\n10 can be written as 9 \\(\\frac{4}{4}\\)<br \/>\nSubtract the whole numbers<br \/>\n9 &#8211; 9 = 0<br \/>\nSubtract the fractional parts<br \/>\n\\(\\frac{4}{4}\\) &#8211; \\(\\frac{3}{4}\\) = \\(\\frac{1}{4}\\)<br \/>\n0 + \\(\\frac{1}{4}\\)\u00a0 = \\(\\frac{1}{4}\\)<\/p>\n<p>Question 9.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says the difference of 9 and 2\\(\\frac{3}{5}\\) is 7\\(\\frac{3}{5}\\). Is your friend correct? Explain.<\/p>\n<p>Answer:<br \/>\n9 &#8211; 2\\(\\frac{3}{5}\\) = 7 \\(\\frac{3}{5}\\)<br \/>\nThus by this we can say that your friend is correct.<\/p>\n<p>Question 10.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how adding and subtracting mixed numbers are similar and different.<\/p>\n<p>Answer:<br \/>\nAny mixed number can also be written as an improper fraction, in which the numerator is larger than the denominator.<br \/>\nSubtracting mixed numbers is very similar to adding them.<br \/>\nWrite both fractions as equivalent fractions with a denominator. Then subtract the fractions.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite two mixed numbers with like denominators that have a sum of 5\\(\\frac{2}{3}\\) and a difference of 1.<\/p>\n<p>Answer:<br \/>\n5\\(\\frac{2}{3}\\) = 3 \\(\\frac{1}{3}\\) + 2\\(\\frac{1}{3}\\)<br \/>\nNow if you subtract the same fraction you need to get the difference as 1.<br \/>\n3 \\(\\frac{1}{3}\\) &#8211; 2\\(\\frac{1}{3}\\)<br \/>\n3 &#8211; 2 = 1<br \/>\n\\(\\frac{1}{3}\\) &#8211; \\(\\frac{1}{3}\\) = 0<br \/>\nSo, 3 \\(\\frac{1}{3}\\) &#8211; 2\\(\\frac{1}{3}\\) = 1<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA replica of the Eiffel Tower is 6 inches tall. It is 2\\(\\frac{2}{5}\\) inches taller than a replica of the Space Needle. How tall is the replica of the Space Needle?<br \/>\nFind the difference between the height of the Eiffel Tower replica, 6 inches, and 2\\(\\frac{2}{5}\\) inches.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14294\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-178.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 178\" width=\"171\" height=\"227\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14295\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 179\" width=\"632\" height=\"251\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179.png 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179-300x119.png 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA replica of the Eiffel Tower is 6 inches tall. It is 2\\(\\frac{2}{5}\\) inches taller than a replica of the Space Needle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21688\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179-300x119.jpg\" alt=\"Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179\" width=\"300\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179-300x119.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179.jpg 632w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nA cook has a 5-pound bag of potatoes. He uses 2\\(\\frac{1}{3}\\) pounds of potatoes to make a casserole. How many pounds of potatoes are left?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA cook has a 5-pound bag of potatoes. He uses 2\\(\\frac{1}{3}\\) pounds of potatoes to make a casserole.<br \/>\n5 &#8211; 2\\(\\frac{1}{3}\\)<br \/>\n4 \\(\\frac{3}{3}\\) &#8211; 2\\(\\frac{1}{3}\\)<br \/>\nSubtract the whole numbers<br \/>\n4 &#8211; 2 = 2<br \/>\nSubtract the fractional parts<br \/>\n\\(\\frac{3}{3}\\) &#8211; \\(\\frac{1}{3}\\) = \\(\\frac{2}{3}\\)<br \/>\n2 \\(\\frac{2}{3}\\)<br \/>\nThus 2 \\(\\frac{2}{3}\\) pounds of potatoes are left.<\/p>\n<p>Question 13.<br \/>\nA half-marathon is 13\\(\\frac{1}{10}\\) miles long. A competitor runs 9\\(\\frac{6}{10}\\) miles. How many miles does the competitor have left to run?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA half-marathon is 13\\(\\frac{1}{10}\\) miles long. A competitor runs 9\\(\\frac{6}{10}\\) miles.<br \/>\n13\\(\\frac{1}{10}\\) &#8211; 9\\(\\frac{6}{10}\\)<br \/>\n12 \\(\\frac{11}{10}\\) &#8211; 9\\(\\frac{6}{10}\\)<br \/>\nSubtract the whole numbers<br \/>\n12 &#8211; 9 = 3<br \/>\n\\(\\frac{11}{10}\\) &#8211; \\(\\frac{6}{10}\\) = \\(\\frac{5}{10}\\)<br \/>\n3 + \\(\\frac{5}{10}\\) = 3 \\(\\frac{1}{2}\\)<br \/>\nThe competitor has left 3 \\(\\frac{1}{2}\\) miles to run.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou want to mail a package that weighs 18\\(\\frac{2}{4}\\) ounces. The weight limit is 13 ounces, so you remove 4\\(\\frac{3}{4}\\) ounces of items from the package. Does the lighter package meet the weight requirement? If not, how much more weight do you need to remove?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou want to mail a package that weighs 18\\(\\frac{2}{4}\\) ounces.<br \/>\nThe weight limit is 13 ounces, so you remove 4\\(\\frac{3}{4}\\) ounces of items from the package.<br \/>\n18\\(\\frac{2}{4}\\) &#8211; 4\\(\\frac{3}{4}\\) = 13 \\(\\frac{3}{4}\\)<br \/>\n13 \\(\\frac{3}{4}\\) &#8211; 13 = \\(\\frac{3}{4}\\)<br \/>\nThus you need to remove \\(\\frac{3}{4}\\) ounces more.<\/p>\n<h3><a id=\"Subtract_Mixed_Numbers_Homework_&amp;_Practice_8.8\"><\/a>Subtract Mixed Numbers Homework &amp; Practice 8.8<\/h3>\n<p>Subtract<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14296\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-180.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 180\" width=\"146\" height=\"55\" \/><\/p>\n<p>Answer: 5 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=10+3\/4\u22125\u22121\/4<br \/>\nSolving the whole number parts<br \/>\n10\u22125=5<br \/>\nSolving the fraction parts<br \/>\n3\/4\u22121\/4=2\/4<br \/>\nReducing the fraction part, 2\/4,<br \/>\n2\/4=1\/2<br \/>\nCombining the whole and fraction parts<br \/>\n5+1\/2=5 1\/2<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14297\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-181.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 181\" width=\"148\" height=\"64\" \/><\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n9 + 1\/3 &#8211; 3 &#8211; 1\/3<br \/>\n9 &#8211; 3 = 6<br \/>\nSo, 9 \\(\\frac{1}{3}\\) &#8211; 3 \\(\\frac{1}{3}\\) = 6<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14298\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-182.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 182\" width=\"159\" height=\"65\" \/><\/p>\n<p>Answer: 4 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=6+7\/12\u22121\u221211\/12<br \/>\nSolving the whole number parts<br \/>\n6\u22121=5<br \/>\nSolving the fraction parts<br \/>\n7\/12\u221211\/12=\u22124\/12<br \/>\nReducing the fraction part, 4\/12,<br \/>\n\u22124\/12=\u22121\/3<br \/>\nCombining the whole and fraction parts<br \/>\n5\u22121\/3=4 2\/3<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14299\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-183.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 183\" width=\"176\" height=\"65\" \/><\/p>\n<p>Answer: 6 \\(\\frac{43}{50}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=15+6\/100\u22128\u221220\/100<br \/>\nSolving the whole number parts<br \/>\n15\u22128=7<br \/>\nSolving the fraction parts<br \/>\n6\/100\u221220\/100=\u221214\/100<br \/>\nReducing the fraction part, 14\/100,<br \/>\n\u221214\/100=\u22127\/50<br \/>\nCombining the whole and fraction parts<br \/>\n7\u22127\/50=6 43\/50<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14300\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-184.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 184\" width=\"150\" height=\"58\" \/><\/p>\n<p>Answer: 1 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=4+3\/6\u22122\u22125\/6<br \/>\nSolving the whole number parts<br \/>\n4\u22122=2<br \/>\nSolving the fraction parts<br \/>\n3\/6\u22125\/6=\u22122\/6<br \/>\nReducing the fraction part, 2\/6,<br \/>\n\u22122\/6=\u22121\/3<br \/>\nCombining the whole and fraction parts<br \/>\n2\u22121\/3=1 2\/3<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14301\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-185.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 185\" width=\"157\" height=\"60\" \/><\/p>\n<p>Answer: 1 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n20 &#8211; 19 = 1<br \/>\n\\(\\frac{4}{5}\\) &#8211; \\(\\frac{1}{5}\\) = \\(\\frac{3}{5}\\)<br \/>\n1 + \\(\\frac{3}{5}\\) = 1 \\(\\frac{3}{5}\\)<\/p>\n<p>Subtract.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14302\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-186.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 186\" width=\"68\" height=\"80\" \/><\/p>\n<p>Answer: 2 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=5+6\/10\u22123<br \/>\nSolving the whole number parts<br \/>\n5\u22123=2<br \/>\nCombining the whole and fraction parts<br \/>\n2+6\/10=2 6\/10<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14303\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-187.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 187\" width=\"73\" height=\"89\" \/><\/p>\n<p>Answer: 10 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=13\u22122\u22121\/2<br \/>\nSolving the whole number parts<br \/>\n13\u22122=11<br \/>\nCombining the whole and fraction parts<br \/>\n11\u22121\/2=10 1\/2<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14304\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-188.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 188\" width=\"77\" height=\"95\" \/><\/p>\n<p>Answer: 3 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=18\u221214\u22126\/8<br \/>\nSolving the whole number parts<br \/>\n18\u221214=4<br \/>\nCombining the whole and fraction parts<br \/>\n4\u22126\/8=3 2\/8<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nExplain why you rename 4\\(\\frac{1}{3}\\) when finding 4\\(\\frac{1}{3}\\) &#8211; \\(\\frac{2}{3}\\) .<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{1}{3}\\) &#8211; \\(\\frac{2}{3}\\)<br \/>\n4 can be written as 3 \\(\\frac{3}{3}\\)<br \/>\n3 \\(\\frac{3}{3}\\) &#8211; \\(\\frac{2}{3}\\)<br \/>\n3 + \\(\\frac{3}{3}\\) &#8211; \\(\\frac{2}{3}\\)<br \/>\n3 + \\(\\frac{1}{3}\\) = 3 \\(\\frac{1}{3}\\)<br \/>\nSo, 4\\(\\frac{1}{3}\\) &#8211; \\(\\frac{2}{3}\\) = 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the unknown number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14306\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-189.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 189\" width=\"155\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nLet the unknown number be x.<br \/>\n10 \\(\\frac{3}{12}\\) &#8211; x = \\(\\frac{4}{12}\\)<br \/>\n10 \\(\\frac{3}{12}\\) &#8211;\u00a0 \\(\\frac{4}{12}\\) = x<br \/>\n9 \\(\\frac{15}{12}\\) &#8211;\u00a0 \\(\\frac{4}{12}\\) = x<br \/>\nx = 9 \\(\\frac{11}{12}\\)<br \/>\nThus the unknown number is 9 \\(\\frac{11}{12}\\).<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA rare flower found in Indonesian rain forests can grow wider than a car tire. How much wider is the flower than a car tire that is 1\\(\\frac{11}{12}\\) feet wide?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14305\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-189.1.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 189.1\" width=\"210\" height=\"167\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA rare flower found in Indonesian rain forests can grow wider than a car tire.<br \/>\n3 &#8211; 1\\(\\frac{11}{12}\\)<br \/>\n2 \\(\\frac{12}{12}\\) &#8211; 1\\(\\frac{11}{12}\\)<br \/>\n= 1 \\(\\frac{1}{12}\\)<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour tablet battery is fully charged. You use \\(\\frac{32}{100}\\) of the charge listening to music, and \\(\\frac{13}{100}\\) of the charge playing games. What fraction of the charge remains on your tablet battery?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYour tablet battery is fully charged. You use \\(\\frac{32}{100}\\) of the charge listening to music, and \\(\\frac{13}{100}\\) of the charge playing games.<br \/>\n\\(\\frac{32}{100}\\) &#8211; \\(\\frac{13}{100}\\) = \\(\\frac{19}{100}\\)<br \/>\nThus \\(\\frac{19}{100}\\) fraction of the charge remains on your tablet battery.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Divide. Then check your answer.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14307\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-190.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 190\" width=\"56\" height=\"32\" \/><\/p>\n<p>Answer:<br \/>\nDivide 84 by 5<br \/>\n84\/5 = 16.8<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14308\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-191.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 191\" width=\"53\" height=\"49\" \/><\/p>\n<p>Answer:<br \/>\nDivide 51 by 4.<br \/>\n51\/4 = 12.75<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14309\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-192.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 192\" width=\"59\" height=\"41\" \/><\/p>\n<p>Answer:<br \/>\nDivide 89 by 8.<br \/>\n89\/8 = 11.125<\/p>\n<h3><a id=\"Lesson_8.9_Problem_Solving:_Fractions\"><\/a>Lesson 8.9 Problem Solving: Fractions<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Make a plan to solve the problem.<\/p>\n<p>The table shows the tusk lengths of two elephants. Which elephant\u2019s tusks have a greater total length? How much greater?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14310\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-193.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 193\" width=\"221\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-193.png 221w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-193-218x300.png 218w\" sizes=\"(max-width: 221px) 100vw, 221px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14177\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-194.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 194\" width=\"347\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-194.png 347w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-194-300x126.png 300w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><\/p>\n<p>Answer:<br \/>\nMale Elephant = 4 1\/12 + 4 3\/12 = 8 4\/12<br \/>\nFemale Elephant = 4 + 3 7\/12 = 7 7\/12<br \/>\nThe Right Tusk of a Male Elephant is greater than Female Elephant.<br \/>\nThe left tusk of a Male Elephant is greater than Female Elephant.<br \/>\nThus the total length of the Male Elephant is greater than Female Elephant.<\/p>\n<p><strong>Make Sense of Problems<\/strong><br \/>\nA \\(\\frac{7}{12}\\)-foot long piece of one of the male elephant\u2019s tusks breaks off. Does this change your plan to solve the problem? Will this change the answer? Explain.<\/p>\n<p>Answer:<br \/>\nA \\(\\frac{7}{12}\\)-foot long piece of one of the male elephant\u2019s tusks breaks off.<br \/>\n8 4\/12 &#8211; 7 7\/12 = 3\/4<br \/>\nNo, if \\(\\frac{7}{12}\\)-foot long piece of one of the male elephant\u2019s tusks breaks off it will not change the answer. Still, the Male Elephant is greater than Female Elephant.<\/p>\n<p><strong>Think and Grow: Problem Solving: Fractions<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA family spends 2\\(\\frac{2}{4}\\) hours traveling to a theme park, 7\\(\\frac{1}{4}\\) hours at the theme park, and 2\\(\\frac{3}{4}\\) hours traveling home. How much more time does the family spend at the theme park than traveling?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14178\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-195.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 195\" width=\"204\" height=\"93\" \/><\/p>\n<p><strong>Understand the Problem<\/strong><\/p>\n<p>What do you know?<\/p>\n<ul>\n<li>The family spends 2\\(\\frac{2}{4}\\) hours traveling to the theme park, 7\\(\\frac{1}{4}\\) hours at the theme park, 2\\(\\frac{3}{4}\\) hours traveling home.<br \/>\nWhat do you need to find?<\/li>\n<li>You need to find how much more time the family spends at the theme park than the traveling.<\/li>\n<\/ul>\n<p><strong>Make a plan<\/strong><\/p>\n<p>How will you solve it?<\/p>\n<ul>\n<li>Add 2\\(\\frac{2}{4}\\) and 2\\(\\frac{3}{4}\\) to find how much time the family spends traveling.<\/li>\n<li>Then subtract the sum from 7\\(\\frac{1}{4}\\) to find how much more time they spend at the theme park.<\/li>\n<\/ul>\n<p><strong>Solve<\/strong><br \/>\nSo, the family spends ___ more hours at the theme park than traveling.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you can check your answer in each step of the example above.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21695\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-196-300x120.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-196\" width=\"300\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-196-300x120.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-196.jpg 554w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSo, the family spends 2 more hours at the theme park than traveling.<\/p>\n<p><strong>Apply any and Grow: Practice<\/strong><\/p>\n<p>Understand the problem. What do you know? What do you need to find? Explain.<\/p>\n<p>Answer:<\/p>\n<ul>\n<li>The family spends 2\\(\\frac{2}{4}\\) hours traveling to the theme park, 7\\(\\frac{1}{4}\\) hours at the theme park, 2\\(\\frac{3}{4}\\) hours traveling home.<br \/>\nWhat do you need to find?<\/li>\n<li>You need to find how much more time the family spends at the theme park than the traveling.<\/li>\n<\/ul>\n<p>Question 2.<br \/>\nYou are making a sand art bottle. You fill \\(\\frac{1}{6}\\) of the bottle with pink sand, \\(\\frac{3}{6}\\) with red sand, and \\(\\frac{2}{6}\\) with white sand. How much of the bottle is filled?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou are making a sand art bottle. You fill \\(\\frac{1}{6}\\) of the bottle with pink sand, \\(\\frac{3}{6}\\) with red sand, and \\(\\frac{2}{6}\\) with white sand.<br \/>\n\\(\\frac{1}{6}\\) + \\(\\frac{3}{6}\\) + \\(\\frac{2}{6}\\) = \\(\\frac{1}{6}\\)<br \/>\nThus \\(\\frac{1}{6}\\) of the bottle is filled.<\/p>\n<p>Question 3.<br \/>\nYour friend has \\(\\frac{1}{8}\\) of a photo album filled with beach photographs and \\(\\frac{4}{8}\\) of the album filled with photos of friends. What fraction of the photo album is left?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYour friend has \\(\\frac{1}{8}\\) of a photo album filled with beach photographs and \\(\\frac{4}{8}\\) of the album filled with photos of friends.<br \/>\n\\(\\frac{1}{8}\\) + \\(\\frac{4}{8}\\) = \\(\\frac{5}{8}\\)<br \/>\n\\(\\frac{8}{8}\\) &#8211; \\(\\frac{5}{8}\\) = \\(\\frac{3}{8}\\)<br \/>\nThus \\(\\frac{3}{8}\\) fraction of the photo album is left.<\/p>\n<p>Understand the problem. Then make a plan. How will you solve? Explain.<\/p>\n<p>Question 4.<br \/>\nIn Race A, an Olympic swimmer swims 100 meters in 62\\(\\frac{25}{100}\\) seconds. In Race B, she cuts 2\\(\\frac{38}{100}\\) seconds off her Race A time. How many seconds does she need to cut off her Race B time to swim 100 meters in 58\\(\\frac{45}{100}\\) seconds?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nIn Race A, an Olympic swimmer swims 100 meters in 62\\(\\frac{25}{100}\\) seconds. In Race B, she cuts 2\\(\\frac{38}{100}\\) seconds off her Race A time.<br \/>\n62\\(\\frac{25}{100}\\) &#8211; 2\\(\\frac{38}{100}\\) = 59 \\(\\frac{87}{100}\\)<br \/>\n59 \\(\\frac{87}{100}\\) &#8211; 58\\(\\frac{45}{100}\\) = 1 \\(\\frac{42}{100}\\)<br \/>\nShe need 1 \\(\\frac{42}{100}\\) to cut off her Race B time to swim 100 meters in 58\\(\\frac{45}{100}\\) seconds.<\/p>\n<p>Question 5.<br \/>\nA semi-truck has 2 fuel tanks that each hold the same amount of fuel. A truck driver fills up both tanks and uses \\(\\frac{3}{4}\\) tank of gasoline driving to his first stop. He uses \\(\\frac{2}{4}\\) tank of gasoline driving to his second stop. How much gasoline does he have left?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA semi-truck has 2 fuel tanks that each hold the same amount of fuel. A truck driver fills up both tanks and uses \\(\\frac{3}{4}\\) tank of gasoline driving to his first stop. He uses \\(\\frac{2}{4}\\) tank of gasoline driving to his second stop.<br \/>\n\\(\\frac{3}{4}\\) + \\(\\frac{2}{4}\\) = \\(\\frac{5}{4}\\)<br \/>\n2 &#8211; \\(\\frac{5}{4}\\) = \\(\\frac{3}{4}\\)<br \/>\nThus \\(\\frac{3}{4}\\) gasoline has left.<\/p>\n<p>Question 6.<br \/>\nA bootlace worm holds the record as the longest animal at 180 feet long. How much longer is it than 2 blue whales combined?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14311\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-197.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 8 Add and Subtract Fractions 197\" width=\"212\" height=\"147\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA bootlace worm holds the record as the longest animal at 180 feet long.<br \/>\n1 blue whale = 85 \\(\\frac{8}{12}\\)<br \/>\n2 blue whales = 85 \\(\\frac{8}{12}\\) + 85 \\(\\frac{8}{12}\\) = 171 \\(\\frac{1}{3}\\)<br \/>\n180 &#8211; 171 \\(\\frac{1}{3}\\)<br \/>\n179 \\(\\frac{3}{3}\\) &#8211; 171 \\(\\frac{1}{3}\\) = 8 \\(\\frac{2}{3}\\)<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou walk \\(\\frac{1}{10}\\) kilometer on Monday, \\(\\frac{3}{10}\\) kilometer on Tuesday, and \\(\\frac{5}{10}\\) kilometer on Wednesday. You continue the pattern on Thursday and Friday. How many kilometers do you walk in all?<br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14180\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-198.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 198\" width=\"120\" height=\"127\" \/><br \/>\n<strong>Step 1:<\/strong> Identify the pattern.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14181\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 199\" width=\"611\" height=\"174\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199.png 611w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199-300x85.png 300w\" sizes=\"(max-width: 611px) 100vw, 611px\" \/><br \/>\n<strong>Step 2:<\/strong> Use the pattern to find the distances you walk on Thursday and Friday.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14182\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-200.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 200\" width=\"214\" height=\"166\" \/><br \/>\n<strong>Step 3:<\/strong> Add all of the distances.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14183\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 201\" width=\"325\" height=\"195\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201-300x180.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14184\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-202.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 202\" width=\"272\" height=\"67\" \/>.<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Identify the pattern.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21696\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199-300x85.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199\" width=\"300\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199-300x85.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-199.jpg 611w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<strong>Step 2:<\/strong> Use the pattern to find the distances you walk on Thursday and Friday.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-21698\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-200.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-200\" width=\"214\" height=\"166\" \/><br \/>\n<strong>Step 3:<\/strong> Add all of the distances.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21699\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201-300x180.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201\" width=\"300\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201-300x180.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-201.jpg 325w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSo, you walk 2 \\(\\frac{5}{10}\\) kilometers in all.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 7.<br \/>\nYou save \\(\\frac{1}{4}\\) dollar the first week, \\(\\frac{2}{4}\\) dollar the next week, and dollar \\(\\frac{3}{4}\\) dollar the following week. You continue the pattern for 3 more weeks. How much money do you save after 6 weeks?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14185\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-203.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 203\" width=\"202\" height=\"159\" \/><\/p>\n<p>Answer:<br \/>\nYou save \\(\\frac{1}{4}\\) dollar the first week, \\(\\frac{2}{4}\\) dollar the next week, and dollar \\(\\frac{3}{4}\\) dollar the following week. You continue the pattern for 3 more weeks.<br \/>\n\\(\\frac{1}{4}\\), \\(\\frac{2}{4}\\), \\(\\frac{3}{4}\\), \\(\\frac{4}{4}\\), \\(\\frac{5}{4}\\), \\(\\frac{6}{4}\\)<br \/>\nYou save \\(\\frac{6}{4}\\) dollar after 6 weeks.<\/p>\n<h3><a id=\"Problem_Solving:_Fractions_Homework_&amp;_Practice_8.9\"><\/a>Problem Solving: Fractions Homework &amp; Practice 8.9<\/h3>\n<p>Question 1.<br \/>\nAn older washing machine uses 170\\(\\frac{3}{10}\\) liters of water per load. A new, high-efficiency, washing machine uses 75\\(\\frac{7}{10}\\) fewer liters than the older washing machine. How many liters of water will the high-efficiency washing machine use for 2 loads of laundry?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nAn older washing machine uses 170\\(\\frac{3}{10}\\) liters of water per load. A new, high-efficiency, washing machine uses 75\\(\\frac{7}{10}\\) fewer liters than the older washing machine.<br \/>\n75\\(\\frac{7}{10}\\) + 75\\(\\frac{7}{10}\\) = 151\\(\\frac{2}{5}\\)<br \/>\n170\\(\\frac{3}{10}\\) &#8211; 151\\(\\frac{2}{5}\\) = 18 \\(\\frac{9}{10}\\)<\/p>\n<p>Question 2.<br \/>\nA student jumps 40 \\(\\frac{5}{12}\\) inches for the high jump. On his second try, he jumps 1\\(\\frac{8}{12}\\) inches higher. He can tie the school record if he raises the bar another 3\\(\\frac{10}{12}\\) inches and successfully jumps over it. What is the school record for the high jump?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA student jumps 40 \\(\\frac{5}{12}\\) inches for the high jump.<br \/>\nOn his second try, he jumps 1\\(\\frac{8}{12}\\) inches higher.<br \/>\nHe can tie the school record if he raises the bar another 3\\(\\frac{10}{12}\\) inches and successfully jumps over it.<br \/>\n40 \\(\\frac{5}{12}\\) + 1 \\(\\frac{8}{12}\\) = 42 \\(\\frac{1}{12}\\)<br \/>\n40 \\(\\frac{5}{12}\\) + 3\\(\\frac{10}{12}\\) = 44 \\(\\frac{3}{12}\\)<br \/>\n44 \\(\\frac{3}{12}\\) is the school record for the high jump.<\/p>\n<p>Question 3.<br \/>\nYou are shipping three care packages. The first package weighs 10\\(\\frac{1}{10}\\) pounds. The second weighs 5\\(\\frac{7}{10}\\) pounds, and the third weighs 25\\(\\frac{8}{10}\\) pounds. What is the total weight of the packages?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou are shipping three care packages. The first package weighs 10\\(\\frac{1}{10}\\) pounds.<br \/>\nThe second weighs 5\\(\\frac{7}{10}\\) pounds, and the third weighs 25\\(\\frac{8}{10}\\) pounds.<br \/>\n10\\(\\frac{1}{10}\\) + 5\\(\\frac{7}{10}\\) + 25\\(\\frac{8}{10}\\) = 41 \\(\\frac{6}{10}\\)<br \/>\nThe total weight of the packages is 41 \\(\\frac{6}{10}\\) pounds.<\/p>\n<p>Question 4.<br \/>\nA person\u2019s arm span is approximately equal to the person\u2019s height. How tall is this fourth grader according to his arm span?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14186\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-204.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 204\" width=\"308\" height=\"137\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-204.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-204-300x133.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA person\u2019s arm span is approximately equal to the person\u2019s height.<br \/>\nBy using the pattern we can find the arm span of the fourth-grader i.e., 1 \\(\\frac{7}{12}\\)<\/p>\n<p>Question 5.<br \/>\n<strong>Writing<\/strong><br \/>\nWrite and solve a two-step word problem with mixed numbers that can be solved using addition or subtraction.<\/p>\n<p>Answer:<br \/>\nI have 5 \\(\\frac{8}{12}\\) episodes of my favorite series download onto my computer. I Downloaded some yesterday and \\(\\frac{7}{12}\\) of the episodes this morning. The download speed was really slow. What fraction of the episodes did I download yesterday?<br \/>\n5 \\(\\frac{8}{12}\\) &#8211; \\(\\frac{7}{12}\\) = 5 \\(\\frac{1}{12}\\) = \\(\\frac{61}{12}\\)<\/p>\n<p>Question 6.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour friend walks \\(\\frac{2}{10}\\) mile to school each day. She walks the same distance home. How many miles does she walk to and from school in one 5-day school week?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYour friend walks \\(\\frac{2}{10}\\) mile to school each day. She walks the same distance home.<br \/>\n\\(\\frac{2}{10}\\) + \\(\\frac{2}{10}\\) = \\(\\frac{4}{10}\\)<br \/>\n5 \u00d7 \\(\\frac{4}{10}\\) = \\(\\frac{20}{10}\\) = 2<br \/>\nThus she walk to and from school in one 5-day school week is 2 miles.<\/p>\n<p>Question 7.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA store sells cashews in \\(\\frac{2}{3}\\)-pound bags. You buy some bags and repackage the cashews into 1-pound bags. What is the least number of bags you should buy so that you do not have any cashews left over?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA store sells cashews in \\(\\frac{2}{3}\\)-pound bags. You buy some bags and repackage the cashews into 1-pound bags.<br \/>\n1 &#8211; \\(\\frac{2}{3}\\) = \\(\\frac{1}{3}\\)<br \/>\nThus \\(\\frac{1}{3}\\) pound of cashews left over.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Compare.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14187\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-205.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 205\" width=\"77\" height=\"51\" \/><\/p>\n<p>Answer: &gt;<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{8}{12}\\) = \\(\\frac{4}{6}\\)<br \/>\n\\(\\frac{4}{6}\\) &gt; \\(\\frac{1}{6}\\)<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14188\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-206.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 206\" width=\"103\" height=\"57\" \/><\/p>\n<p>Answer: &lt;<\/p>\n<p>Explanation:<br \/>\nFirst, make the denominators common.<br \/>\n\\(\\frac{9}{10}\\) = \\(\\frac{18}{20}\\)<br \/>\n\\(\\frac{14}{8}\\) = \\(\\frac{35}{20}\\)<br \/>\n\\(\\frac{18}{20}\\) &lt; \\(\\frac{35}{20}\\)<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14189\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-207.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 207\" width=\"79\" height=\"56\" \/><\/p>\n<p>Answer: &gt;<\/p>\n<p>Explanation:<br \/>\nFirst, make the denominators common.<br \/>\n\\(\\frac{3}{4}\\)<br \/>\n\\(\\frac{1}{2}\\) \u00d7 2\/2 = \\(\\frac{2}{4}\\)<br \/>\n\\(\\frac{3}{4}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<h3><a id=\"Add_and_Subtract_Fractions_Performance_Task_8\"><\/a>Add and Subtract Fractions Performance Task 8<\/h3>\n<p>The notes on sheet music tell you what note to play and how long to hold each note. The table shows how long you hold some notes compared to the length of one whole note.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14190\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 208\" width=\"309\" height=\"175\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208.png 309w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208-300x170.png 300w\" sizes=\"(max-width: 309px) 100vw, 309px\" \/><br \/>\n1. a. Complete the table by writing equivalent fractions.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21646\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208-300x170.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208\" width=\"300\" height=\"170\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208-300x170.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-208.jpg 309w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nA whole note is nothing but 1 so the fraction is 8\/8.<br \/>\n1\/2 note is nothing but 4\/8.<br \/>\n1\/4 note is nothing but 2\/8.<\/p>\n<p>b. Each group of notes represents one measure. What is the sum of the values of the notes in each measure?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14191\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 209\" width=\"393\" height=\"192\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209.png 393w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209-300x147.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21660\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209-300x147.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209\" width=\"300\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209-300x147.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209.jpg 393w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>c. Draw the missing note to complete each measure.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14192\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 210\" width=\"460\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210.png 460w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210-300x80.png 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-21662\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210-300x80.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210\" width=\"300\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210-300x80.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-210.jpg 460w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>d. Draw one measure of notes where the sum of the values is 1. Show your work.<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-21664\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209-1.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-209 (1)\" width=\"141\" height=\"192\" \/><\/p>\n<p>e. Write the fraction represented by the sum of the notes. Then write the fraction as a sum of fractions in two different ways.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14193\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-211.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 211\" width=\"82\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14193\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-211.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 211\" width=\"82\" height=\"54\" \/> = \\(\\frac{1}{8}\\) + \\(\\frac{4}{8}\\) + \\(\\frac{2}{8}\\) = \\(\\frac{7}{8}\\)<\/p>\n<h3><a id=\"Add_and_Subtract_Fractions_Activity\"><\/a>Add and Subtract Fractions Activity<\/h3>\n<p><strong>Three In a Row: Fraction Add or Subtract<\/strong><\/p>\n<p><strong>Directions:<\/strong><\/p>\n<ol>\n<li>Players take turns.<\/li>\n<li>On your turn, spin both spinners. Choose whether to add or subtract.<\/li>\n<li>Add or subtract the mixed number and fraction. Cover the sum or difference.<\/li>\n<li>If the sum or difference is already covered, you lose your turn.<\/li>\n<li>The \ufb01rst player to get three in a row wins!<\/li>\n<\/ol>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-14194\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-212.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 212\" width=\"551\" height=\"565\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-212.png 551w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-212-293x300.png 293w\" sizes=\"(max-width: 551px) 100vw, 551px\" \/><\/p>\n<p>Answer:<br \/>\n1 \\(\\frac{1}{8}\\) + \\(\\frac{3}{8}\\) = 1 + \\(\\frac{1}{8}\\) + \\(\\frac{3}{8}\\) = 1 \\(\\frac{4}{8}\\)<br \/>\n3 \\(\\frac{7}{8}\\) + \\(\\frac{8}{8}\\) = 3 + \\(\\frac{7}{8}\\) + 1 = 4 \\(\\frac{7}{8}\\)<br \/>\n2 \\(\\frac{5}{8}\\) + \\(\\frac{4}{8}\\) = 2 + \\(\\frac{5}{8}\\) + \\(\\frac{4}{8}\\) = 3 \\(\\frac{1}{8}\\)<\/p>\n<h3><a id=\"Add_and_Subtract_Fractions_Chapter_Practice_8\"><\/a>Add and Subtract Fractions Chapter Practice 8<\/h3>\n<p><strong>8.1 Use Models to Add Fractions<\/strong><\/p>\n<p>Find the sum. Explain how you used the model to add.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14195\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-214.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 214\" width=\"164\" height=\"139\" \/><\/p>\n<p>Answer: 5\/6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19916\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-214.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-214\" width=\"164\" height=\"139\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14196\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-215.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 215\" width=\"274\" height=\"155\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19918\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-215.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-215\" width=\"274\" height=\"155\" \/><\/p>\n<p>Find the sum. Use a model or a number line to help.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14197\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-216.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 216\" width=\"116\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19922\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-add-subtract-fractions-img_25.jpg\" alt=\"BIM Grade 4 Chapter 8 add &amp; subtract fractions img_25\" width=\"236\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-add-subtract-fractions-img_25.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-add-subtract-fractions-img_25-150x150.jpg 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14198\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-217.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 217\" width=\"127\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19919\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_216-300x67.jpg\" alt=\"Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions img_216\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_216-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-4-Chapter-8-Add-and-Subtract-Fractions-img_216.jpg 703w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14199\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-218.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 218\" width=\"182\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{45}{100}\\) + \\(\\frac{10}{100}\\) + \\(\\frac{9}{100}\\) = \\(\\frac{64}{100}\\)<\/p>\n<p><strong>8.2 Decompose Fractions<\/strong><\/p>\n<p>Write the fraction as a sum of unit fractions.<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{12}\\)<\/p>\n<p>Answer:<br \/>\nThe unit fraction for \\(\\frac{2}{12}\\) is \\(\\frac{1}{12}\\) + \\(\\frac{1}{12}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{3}{3}\\)<\/p>\n<p>Answer: The unit fraction for \\(\\frac{3}{3}\\) is \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\)<\/p>\n<p>Write the fraction as a sum of fractions in two different ways.<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{5}{8}\\)<\/p>\n<p>Answer:<br \/>\nThe unit fraction for \\(\\frac{5}{8}\\) is \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\) + \\(\\frac{1}{8}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{100}\\)<\/p>\n<p>Answer:<br \/>\nThe unit fraction for \\(\\frac{6}{100}\\) is \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\) + \\(\\frac{1}{100}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{90}{100}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{90}{100}\\) = 9\/10<br \/>\nThe unit fraction for \\(\\frac{9}{10}\\) is \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\) + \\(\\frac{1}{10}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{5}\\)<\/p>\n<p>Answer:<br \/>\nThe unit fraction for \\(\\frac{4}{5}\\) is \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\) + \\(\\frac{1}{5}\\)<\/p>\n<p><strong>8.3 Add Fractions with Like Denominators<\/strong><\/p>\n<p>Add<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14200\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-219.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 219\" width=\"124\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{5}{10}\\) + \\(\\frac{10}{10}\\) = \\(\\frac{15}{10}\\)<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14201\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 220\" width=\"127\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19921\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-add-subtract-fractions-img_24.jpg\" alt=\"BIM Grade 4 Chapter 8 add &amp; subtract fractions img_24\" width=\"236\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-add-subtract-fractions-img_24.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/BIM-Grade-4-Chapter-8-add-subtract-fractions-img_24-150x150.jpg 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14202\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-221.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 221\" width=\"122\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{1}{8}\\) + \\(\\frac{6}{8}\\) = \\(\\frac{7}{8}\\)<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14203\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-222.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 222\" width=\"121\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{7}{4}\\) + \\(\\frac{3}{4}\\) = \\(\\frac{11}{4}\\)<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14204\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-223.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 223\" width=\"125\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{2}{6}\\) + \\(\\frac{2}{6}\\) = \\(\\frac{4}{6}\\)<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14205\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-224.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 224\" width=\"136\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so add the numerators.<br \/>\n\\(\\frac{8}{12}\\) + \\(\\frac{4}{12}\\) = \\(\\frac{12}{12}\\) = 1<\/p>\n<p>Question 18.<br \/>\n<strong>Logic<\/strong><br \/>\nWhen you add two of me you get \\(\\frac{100}{100}\\). What fraction am I?<\/p>\n<p>Answer: \\(\\frac{50}{100}\\)<br \/>\nIf you add \\(\\frac{50}{100}\\) two times you get \\(\\frac{100}{100}\\)<br \/>\n\\(\\frac{50}{100}\\) + \\(\\frac{50}{100}\\) = \\(\\frac{100}{100}\\)<\/p>\n<p><strong>8.4 Use Models to Subtract Fractions<\/strong><\/p>\n<p>Find the difference. Explain how you used the model to subtract.<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14206\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-225.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 225\" width=\"120\" height=\"131\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19924\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-225.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-225\" width=\"120\" height=\"131\" \/><\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14207\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-226.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 226\" width=\"272\" height=\"131\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19926\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-226.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-226\" width=\"272\" height=\"131\" \/><\/p>\n<p>Find the difference. Use a model or a number line to help.<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14208\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-227.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 227\" width=\"133\" height=\"62\" \/><\/p>\n<p>Answer: 3\/2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19932\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-300x55.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139\" width=\"300\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-300x55.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139.jpg 310w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14209\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-228.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 228\" width=\"138\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19933\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-1-300x55.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139\" width=\"300\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-1-300x55.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-1.jpg 310w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14210\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-229.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 229\" width=\"146\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n\\(\\frac{30}{100}\\) &#8211; \\(\\frac{21}{100}\\) = (30 &#8211; 21)\/100 = \\(\\frac{9}{100}\\)<\/p>\n<p>Question 24.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA football team wins \\(\\frac{7}{10}\\) of their games this season. They lose \\(\\frac{3}{10}\\) of their games. How many more games does the team win than lose?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA football team wins \\(\\frac{7}{10}\\) of their games this season. They lose \\(\\frac{3}{10}\\) of their games.<br \/>\n\\(\\frac{7}{10}\\) &#8211; \\(\\frac{3}{10}\\) = \\(\\frac{4}{10}\\)<br \/>\nThus \\(\\frac{4}{10}\\) more games the team win than lose.<\/p>\n<p><strong>8.5 Subtract Fractions with Like Denominators<\/strong><\/p>\n<p>Subtract.<\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14211\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-230.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 230\" width=\"142\" height=\"68\" \/><\/p>\n<p>Answer: \\(\\frac{5}{10}\\)<\/p>\n<p>Explanation:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n\\(\\frac{9}{10}\\) &#8211; \\(\\frac{4}{10}\\) = \\(\\frac{5}{10}\\)<\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14212\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-231.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 231\" width=\"139\" height=\"62\" \/><\/p>\n<p>Answer: \\(\\frac{7}{12}\\)<\/p>\n<p>Explanation:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n\\(\\frac{14}{12}\\) &#8211; \\(\\frac{7}{12}\\) = \\(\\frac{7}{12}\\)<\/p>\n<p>Question 27.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14213\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-232.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 232\" width=\"153\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-232.png 153w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-232-150x69.png 150w\" sizes=\"(max-width: 153px) 100vw, 153px\" \/><\/p>\n<p>Answer: \\(\\frac{24}{100}\\)<\/p>\n<p>Explanation:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n\\(\\frac{80}{100}\\) &#8211; \\(\\frac{56}{100}\\) = \\(\\frac{24}{100}\\)<\/p>\n<p>Question 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14214\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-233.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 233\" width=\"124\" height=\"59\" \/><\/p>\n<p>Answer: 3\/8\\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n1 can be written as \\(\\frac{8}{8}\\)<br \/>\n\\(\\frac{8}{8}\\) &#8211; \\(\\frac{5}{8}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Question 29<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14215\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-234.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 234\" width=\"124\" height=\"61\" \/><\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n1 can be written as \\(\\frac{3}{3}\\)<br \/>\n\\(\\frac{3}{3}\\) &#8211; \\(\\frac{1}{3}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p>Question 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14216\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-235.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 235\" width=\"127\" height=\"73\" \/><\/p>\n<p>Answer: \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<br \/>\nDenominators are the same so subtract the numerators.<br \/>\n2 can be written as \\(\\frac{12}{6}\\)<br \/>\n\\(\\frac{12}{6}\\) &#8211; \\(\\frac{10}{6}\\) = \\(\\frac{2}{6}\\)<\/p>\n<p><strong>8.6 Model Fractions and Mixed Numbers<\/strong><\/p>\n<p>Write the mixed number as a fraction.<\/p>\n<p>Question 31.<br \/>\n1 \\(\\frac{6}{8}\\)<\/p>\n<p>Answer: \\(\\frac{7}{4}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n8 \u00d7 1 = 8<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n8 + 6 = 14<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n14\/8 = \\(\\frac{7}{4}\\)<\/p>\n<p>Question 32.<br \/>\n4 \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{9}{2}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n2 \u00d7 4 = 8<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n8 + 1 = 9<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n\\(\\frac{9}{2}\\)<\/p>\n<p>Question 33.<br \/>\n5 \\(\\frac{10}{12}\\)<\/p>\n<p>Answer: \\(\\frac{35}{6}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n12 \u00d7 5 = 60<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n60 + 10 = 70<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n70\/12 = \\(\\frac{35}{6}\\)<\/p>\n<p>Write the fraction as a mixed number or a whole number.<\/p>\n<p>Question 34.<br \/>\n\\(\\frac{17}{4}\\)<\/p>\n<p>Answer: 4 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nConverting from improper fraction to the mixed fraction.<br \/>\n\\(\\frac{17}{4}\\) = 4 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 35.<br \/>\n\\(\\frac{30}{6}\\)<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nConverting from improper fraction to the mixed fraction.<br \/>\n6 divides 30 five times.<br \/>\nSo, \\(\\frac{30}{6}\\) = 5<\/p>\n<p>Question 36.<br \/>\n\\(\\frac{63}{10}\\)<\/p>\n<p>Answer: 6 \\(\\frac{3}{10}\\)<\/p>\n<p>Explanation:<br \/>\nConverting from improper fraction to the mixed fraction.<br \/>\n\\(\\frac{63}{10}\\) = 63 \u00f7 10<br \/>\n= 6 \\(\\frac{3}{10}\\)<\/p>\n<p>Compare.<\/p>\n<p>Question 37.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14217\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-236.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 236\" width=\"117\" height=\"55\" \/><\/p>\n<p>Answer: &lt;<\/p>\n<p>Explanation:<br \/>\n2 4\/100<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n100 \u00d7 2 = 200<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n200 + 4 = 204<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n204\/100<br \/>\n240\/100<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n100 \u00d7 2 = 200<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n200 + 40 = 240<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n240\/100<br \/>\n204\/100 &lt; 240\/100<\/p>\n<p>Question 38.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14218\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-237.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 237\" width=\"89\" height=\"65\" \/><\/p>\n<p>Answer: &gt;<\/p>\n<p>Explanation:<br \/>\nStep 1<br \/>\nMultiply the denominator by the whole number<br \/>\n3 \u00d7 8 = 24<br \/>\nStep 2<br \/>\nAdd the answer from Step 1 to the numerator<br \/>\n24 + 2 = 26<br \/>\nStep 3<br \/>\nWrite an answer from Step 2 over the denominator<br \/>\n26\/3<br \/>\n26\/3 &gt; 25\/3<\/p>\n<p>Question 39.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14219\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-238.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 238\" width=\"77\" height=\"60\" \/><\/p>\n<p>Answer: =<\/p>\n<p>Explanation:<br \/>\n25\/5 = 5<br \/>\n5 = 5<\/p>\n<p>Question 40.<br \/>\n<strong>Which One Doesn&#8217;t Belong? <\/strong>Which expression does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14220\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-239.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 239\" width=\"437\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-239.png 437w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-239-300x44.png 300w\" sizes=\"(max-width: 437px) 100vw, 437px\" \/><\/p>\n<p>Answer: 20\/8 does not belong with the other three.<\/p>\n<p><strong>8.7 Add Mixed Numbers<\/strong><\/p>\n<p>Add.<\/p>\n<p>Question 41.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14221\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-240.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 240\" width=\"143\" height=\"64\" \/><\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=5+1\/2+3+1\/2<br \/>\nSolving the whole number parts<br \/>\n5+3=8<br \/>\nSolving the fraction parts<br \/>\n1\/2+1\/2=2\/2<br \/>\nReducing the fraction part, 2\/2,<br \/>\n2\/2=1\/1<br \/>\nSimplifying the fraction part, 1\/1,<br \/>\n1\/1=1<br \/>\nCombining the whole and fraction parts<br \/>\n8+1=9<\/p>\n<p>Question 42.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14222\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-241.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 241\" width=\"145\" height=\"59\" \/><\/p>\n<p>Answer: 4 1\/3<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=2+5\/6+1+3\/6<br \/>\nSolving the whole number parts<br \/>\n2+1=3<br \/>\nSolving the fraction parts<br \/>\n5\/6+3\/6 = 8\/6<br \/>\n8\/6 = 4\/3<br \/>\n4\/3 = 4 1\/3<\/p>\n<p>Question 43.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14223\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-242.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 242\" width=\"143\" height=\"64\" \/><\/p>\n<p>Answer: 5 5\/6<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=4+1+10\/12<br \/>\nSolving the whole number parts<br \/>\n4+1=5<br \/>\nCombining the whole and fraction parts<br \/>\n5+10\/12= 5 10\/12 = 5 5\/6<\/p>\n<p>Question 44.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14224\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-243.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 243\" width=\"162\" height=\"73\" \/><\/p>\n<p>Answer: 19<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=8+3\/5+10+2\/5<br \/>\nSolving the whole number parts<br \/>\n8+10=18<br \/>\nSolving the fraction parts<br \/>\n3\/5+2\/5=5\/5<br \/>\nSimplifying the fraction part, 1\/1,<br \/>\n1\/1 = 1<br \/>\nCombining the whole and fraction parts<br \/>\n18+1=19<\/p>\n<p>Question 45.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14225\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-244.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 244\" width=\"174\" height=\"63\" \/><\/p>\n<p>Answer: 14 1\/4<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=7+2\/4+1+2\/4<br \/>\nSolving the whole number parts<br \/>\n7+1=8<br \/>\nSolving the fraction parts<br \/>\n2\/4+2\/4=4\/4<br \/>\nReducing the fraction part, 4\/4,<br \/>\n4\/4=1\/1<br \/>\nSimplifying the fraction part, 1\/1,<br \/>\n1\/1=1<br \/>\nCombining the whole and fraction parts<br \/>\n8+1=9<br \/>\n9 + 5 1\/4<br \/>\nRewriting our equation with parts separated<br \/>\n=9+5+1\/4<br \/>\nSolving the whole number parts<br \/>\n9+5=14<br \/>\nCombining the whole and fraction parts<br \/>\n14+1\/4=14 1\/4<\/p>\n<p>Question 46.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14226\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-245.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 245\" width=\"238\" height=\"65\" \/><\/p>\n<p>Answer: 19 5\/100<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=4+25\/100+11+75\/100<br \/>\nSolving the whole number parts<br \/>\n4+11=15<br \/>\nSolving the fraction parts<br \/>\n25\/100+75\/100=100\/100<br \/>\nReducing the fraction part, 100\/100,<br \/>\n100\/100=11<br \/>\nSimplifying the fraction part, 1\/1,<br \/>\n1\/1=1<br \/>\nCombining the whole and fraction parts<br \/>\n15+1=16<br \/>\nRewriting our equation with parts separated<br \/>\n=16+3+5\/100<br \/>\nSolving the whole number parts<br \/>\n16+3=19<br \/>\nCombining the whole and fraction parts<br \/>\n19+5\/100=19 5\/100<\/p>\n<p><strong>8.8 Subtract Mixed Numbers<\/strong><\/p>\n<p>Subtract<\/p>\n<p>Question 47.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14227\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-246.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 246\" width=\"141\" height=\"60\" \/><\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=9+2\/3-6-2\/3<br \/>\nSolving the whole number parts<br \/>\n9\u22126=3<br \/>\nSolving the fraction parts<br \/>\n2\/3\u22122\/3=0\/3<br \/>\nSimplifying the fraction part, 0\/3,<br \/>\n0\/3=0<br \/>\nCombining the whole and fraction parts<br \/>\n3+0=3<\/p>\n<p>Question 48.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14228\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-247.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 247\" width=\"161\" height=\"66\" \/><\/p>\n<p>Answer: 5 2\/5<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=13+9\/10\u22128\u22125\/10<br \/>\nSolving the whole number parts<br \/>\n13\u22128=5<br \/>\nSolving the fraction parts<br \/>\n9\/10\u22125\/10=4\/10<br \/>\nReducing the fraction part, 4\/10,<br \/>\n4\/10=2\/5<br \/>\nCombining the whole and fraction parts<br \/>\n5+2\/5=5 2\/5<\/p>\n<p>Question 49.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14229\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-248.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 248\" width=\"144\" height=\"72\" \/><\/p>\n<p>Answer: 1\/2<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=3+2\/8\u22122\u22126\/8<br \/>\nSolving the whole number parts<br \/>\n3\u22122=1<br \/>\nSolving the fraction parts<br \/>\n2\/8\u22126\/8=\u22124\/8<br \/>\nReducing the fraction part, 4\/8,<br \/>\n\u22124\/8=\u22121\/2<br \/>\nCombining the whole and fraction parts<br \/>\n1\u22121\/2=1\/2<\/p>\n<p>Question 50.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14230\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-249.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 249\" width=\"136\" height=\"64\" \/><\/p>\n<p>Answer: 5 1\/2<\/p>\n<p>Explanation:<br \/>\n6 + 1\/2 &#8211; 1 = 5 1\/2<\/p>\n<p>Question 51.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14231\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-250.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 250\" width=\"138\" height=\"62\" \/><\/p>\n<p>Answer: 2 3\/4<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=7\u22124\u22121\/4<br \/>\nSolving the whole number parts<br \/>\n7\u22124=3<br \/>\nCombining the whole and fraction parts<br \/>\n3\u22121\/4=2 3\/4<\/p>\n<p>Question 52.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14232\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-251.png\" alt=\"Big Ideas Math Answer Key Grade 4 Chapter 8 Add and Subtract Fractions 251\" width=\"146\" height=\"59\" \/><\/p>\n<p>Answer: 1\/6<\/p>\n<p>Explanation:<br \/>\nRewriting our equation with parts separated<br \/>\n=20\u221219\u22125\/6<br \/>\nSolving the whole number parts<br \/>\n20\u221219=1<br \/>\nCombining the whole and fraction parts<br \/>\n1\u22125\/6=1\/6<\/p>\n<p><strong>8.9 Problem Solving: Fractions<\/strong><\/p>\n<p>Question 53.<br \/>\nYou give \\(\\frac{3}{12}\\) of your bag of grapes to one friend and \\(\\frac{5}{12}\\) of your bag to another friend. What fraction of the bag of grapes do you have left?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou give \\(\\frac{3}{12}\\) of your bag of grapes to one friend and \\(\\frac{5}{12}\\) of your bag to another friend<br \/>\n\\(\\frac{3}{12}\\) + \\(\\frac{5}{12}\\) = \\(\\frac{8}{12}\\)<br \/>\n\\(\\frac{12}{12}\\) &#8211; \\(\\frac{8}{12}\\) = \\(\\frac{4}{12}\\)<br \/>\nThus \\(\\frac{4}{12}\\) fraction of the bag of grapes are left.<\/p>\n<p><em>Final Words:<\/em><\/p>\n<p>Hope you are all satisfied with the solutions provided in the BIM Grade 4 Chapter 8 Add and Subtract Fractions pdf. If you have any doubts regarding the problems you can ask your doubts in the below comment box. We are ready to clarify your doubts at any time. Stay with us to get the solutions of all 4th-grade chapters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Are you looking online to get Big Ideas Math Answers Grade 4 Chapter 8 Add and Subtract Fractions? Then, you have reached the right place. 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