{"id":1768,"date":"2022-03-26T18:00:53","date_gmt":"2022-03-26T12:30:53","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=1768"},"modified":"2022-04-07T12:29:06","modified_gmt":"2022-04-07T06:59:06","slug":"go-math-grade-4-answer-key-chapter-8-multiply-fractions-by-whole-numbers","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-chapter-8-multiply-fractions-by-whole-numbers\/","title":{"rendered":"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers"},"content":{"rendered":"<p>Download Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers pdf for free of cost. Check out the 4th Grade HMH Go Math chapter 8 questions during your preparation and know the topics clearly. Solving the Chapter Test, Practice Test covered questions will help students to score more marks in the exams. Also, they can match the answers with the help of the <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-4-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 4 Answer Key<\/a> Chapter 8. Grade 4 Go Math Answer Key Chapter 8 Multiply Fractions by Whole Numbers provided\u00a0Step by Step Solutions helps you to master the concepts and become a pro in the subject.<\/p>\n<h2>Go Math Grade 4 Chapter 8 Multiply Fractions by Whole Numbers Answer Key<\/h2>\n<p>The topics of Chapter 8 Multiply Fractions by Whole Numbers having different kinds of methods to solve the questions in no time. Concepts and their step-wise answers are provided in our HMH Go Math Grade 4 Ch 8 Answer Key. So, 4th Grade ch 8 will be easy to solve for those students who practice the sums from\u00a0Go Math Grade 4 Solutions Key Ch 8 Multiply Fractions by Whole Number.<\/p>\n<p>Lesson 1: Multiples of Unit Fractions<\/p>\n<ul>\n<li><a href=\"#Multiples_of_Unit_Fractions_-_Page_No._459\">Multiples of Unit Fractions &#8211; Page No. 459<\/a><\/li>\n<li><a href=\"#Multiples_of_Unit_Fractions_Lesson_Check_-_Page_No._460\">Multiples of Unit Fractions Lesson Check &#8211; Page No. 460<\/a><\/li>\n<\/ul>\n<p>Lesson 2: Multiples of Fractions<\/p>\n<ul>\n<li><a href=\"#Multiples_of_Fractions_-_Page_No._463\">Multiples of Fractions &#8211; Page No. 463<\/a><\/li>\n<li><a href=\"#Multiples_of_Fractions_Lesson_Check_-_Page_No._464\">Multiples of Fractions Lesson Check &#8211; Page No. 464<\/a><\/li>\n<li><a href=\"#Multiples_of_Fractions_Lesson_Check_1_-_Page_No._465\">Multiples of Fractions Lesson Check 1 &#8211; Page No. 465<\/a><\/li>\n<li><a href=\"#Multiples_of_Fractions_Lesson_Check_2_-_Page_No._466\">Multiples of Fractions Lesson Check 2 &#8211; Page No. 466<\/a><\/li>\n<\/ul>\n<p>Mid-Chapter Checkpoint<\/p>\n<ul>\n<li><a href=\"#Mid-Chapter_Checkpoint_-_Page_No._467\">Mid-Chapter Checkpoint &#8211; Page No. 467<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._468\">Mid-Chapter Checkpoint Lesson Check &#8211; Page No. 468<\/a><\/li>\n<\/ul>\n<p>Lesson 3: Multiply a Fraction by a Whole Number Using Models<\/p>\n<ul>\n<li><a href=\"#Multiply_a_Fraction_by_a_Whole_Number_Using_Models_-_Page_No._471\">Multiply a Fraction by a Whole Number Using Models &#8211; Page No. 471<\/a><\/li>\n<li><a href=\"#Multiply_a_Fraction_by_a_Whole_Number_Using_Models_Lesson_Check_-_Page_No._472\">Multiply a Fraction by a Whole Number Using Models Lesson Check &#8211; Page No. 472<\/a><\/li>\n<li><a href=\"#Multiply_a_Fraction_by_a_Whole_Number_Using_Models_Lesson_Check_1_-_Page_No._473\">Multiply a Fraction by a Whole Number Using Models Lesson Check 1 &#8211; Page No. 473<\/a><\/li>\n<li><a href=\"#Multiply_a_Fraction_by_a_Whole_Number_Using_Models_Lesson_Check_2_-_Page_No._474\">Multiply a Fraction by a Whole Number Using Models Lesson Check 2 &#8211; Page No. 474<\/a><\/li>\n<\/ul>\n<p>Lesson 4: Multiply a Fraction or Mixed Number by a Whole Number<\/p>\n<ul>\n<li><a href=\"#Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_-_Page_No._477\">Multiply a Fraction or Mixed Number by a Whole Number &#8211; Page No. 477<\/a><\/li>\n<li><a href=\"#Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_Lesson_Check_-_Page_No._478\">Multiply a Fraction or Mixed Number by a Whole Number Lesson Check &#8211; Page No. 478<\/a><\/li>\n<li><a href=\"#Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_Lesson_Check_1_-_Page_No._479\">Multiply a Fraction or Mixed Number by a Whole Number Lesson Check 1 &#8211; Page No. 479<\/a><\/li>\n<li><a href=\"#Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_Lesson_Check_2-_Page_No._480\">Multiply a Fraction or Mixed Number by a Whole Number Lesson Check 2- Page No. 480<\/a><\/li>\n<\/ul>\n<p>Lesson 5: Problem Solving \u2022 Comparison Problems with Fractions<\/p>\n<ul>\n<li><a href=\"#Comparison_Problems_with_Fractions_-_Page_No._483\">Comparison Problems with Fractions &#8211; Page No. 483<\/a><\/li>\n<li><a href=\"#Comparison_Problems_with_Fractions_Lesson_Check_-_Page_No._484\">Comparison Problems with Fractions Lesson Check &#8211; Page No. 484<\/a><\/li>\n<li><a href=\"#Comparison_Problems_with_Fractions_Lesson_Check_1_-_Page_No._485\">Comparison Problems with Fractions Lesson Check 1 &#8211; Page No. 485<\/a><\/li>\n<li><a href=\"#Comparison_Problems_with_Fractions_Lesson_Check_2_-_Page_No._486\">Comparison Problems with Fractions Lesson Check 2 &#8211; Page No. 486<\/a><\/li>\n<\/ul>\n<p>Review\/Test<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"#Review\/Test_-_Page_No._487\">Review\/Test &#8211; Page No. 487<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._488\">Review\/Test &#8211; Page No. 488<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._489\">Review\/Test &#8211; Page No. 489<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._490\">Review\/Test &#8211; Page No. 490<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._491\">Review\/Test &#8211; Page No. 491<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._492\">Review\/Test &#8211; Page No. 492<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._497\">Review\/Test &#8211; Page No. 497<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._498\">Review\/Test &#8211; Page No. 498<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><a id=\"Multiples_of_Unit_Fractions_-_Page_No._459\"><\/a>Common Core &#8211; New &#8211; Page No. 459<\/h3>\n<p><strong>Multiples of Unit Fractions<\/strong><\/p>\n<p><strong>Write the fraction as a product of a whole number and a unit fraction.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-1.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 1\" width=\"206\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\n5 x 1\/6<\/p>\n<p>Explanation:<br \/>\nGiven that 5\/6 or 5 sixth-size parts.<br \/>\nEach sixth-size part of the given fraction can be shown by the unit fraction 1\/6.<br \/>\nYou can use unit fractions to show 5\/6<br \/>\n5\/6 = 5 x 1\/6.<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{7}{8}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n7 x 1\/8<\/p>\n<p>Explanation:<br \/>\nGiven that 7\/8 or 7 eighth-size parts.<br \/>\nEach eighth-size part of the given fraction can be shown by the unit fraction 1\/8.<br \/>\nYou can use unit fractions to show 7\/8<br \/>\n7\/8 = 7 x 1\/8.<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{5}{3}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n5 x 1\/3<\/p>\n<p>Explanation:<br \/>\nGiven that 5\/3 or 5 third-size parts.<br \/>\nEach third-size part of the given fraction can be shown by the unit fraction 1\/3.<br \/>\nYou can use unit fractions to show 5\/6<br \/>\n5\/3 = 5 x 1\/3.<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{9}{10}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n9 x 1\/10<\/p>\n<p>Explanation:<br \/>\nGiven that 9\/10 or 9 tenth-size parts.<br \/>\nEach tenth-size part of the given fraction can be shown by the unit fraction 1\/10.<br \/>\nYou can use unit fractions to show 9\/10<br \/>\n9\/10 = 9 x 1\/10.<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{4}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 x 1\/4<\/p>\n<p>Explanation:<br \/>\nGiven that 3\/4 or 3 fourth-size parts.<br \/>\nEach fourth-size part of the given fraction can be shown by the unit fraction 1\/4.<br \/>\nYou can use unit fractions to show 5\/6<br \/>\n3\/4 = 3 x 1\/4.<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{11}{12}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n11 x 1\/12<\/p>\n<p>Explanation:<br \/>\nGiven that 11\/12 or 11 twelve-size parts.<br \/>\nEach twelve-size part of the given fraction can be shown by the unit fraction 1\/12.<br \/>\nYou can use unit fractions to show 5\/6<br \/>\n11\/12 = 11 x 1\/12.<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{4}{6}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4 x 1\/6<\/p>\n<p>Explanation:<br \/>\nGiven that 4\/6 or 4 sixth-size parts.<br \/>\nEach sixth-size part of the given fraction can be shown by the unit fraction 1\/6.<br \/>\nYou can use unit fractions to show 4\/6<br \/>\n4\/6 = 4 x 1\/6.<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{8}{20}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8 x 1\/20<\/p>\n<p>Explanation:<br \/>\nGiven that 8\/20 or 8 twenty-size parts.<br \/>\nEach twenty-size part of the given fraction can be shown by the unit fraction 1\/20.<br \/>\nYou can use unit fractions to show 8\/20<br \/>\n8\/20 = 8 x 1\/20.<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{13}{100}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n13 x 1\/100<\/p>\n<p>Explanation:<br \/>\nGiven that 13\/100 or 13 hundred-size parts.<br \/>\nEach hundred-size part of the given fraction can be shown by the unit fraction 1\/100.<br \/>\nYou can use unit fractions to show 13\/100<br \/>\n13\/100 = 13 x 1\/100.<\/p>\n<p><strong>List the next four multiples of the unit fraction.<\/strong><\/p>\n<p>Question 10.<br \/>\n\\(\\frac{1}{5}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n2\/5, 3\/5, 4\/5, 5\/5<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2940\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Multiply-Fractions-Image-2-300x159.jpg\" alt=\"Grade 4 Chapter 8 Multiply Fractions Image 2\" width=\"300\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Multiply-Fractions-Image-2-300x159.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Multiply-Fractions-Image-2.jpg 431w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n2\/5, 3\/5, 4\/5, 5\/5<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{8}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n2\/8, 3\/8, 4\/8, 5\/8<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2942\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Multiply-Fractions-Image-3-300x134.jpg\" alt=\"Grade 4 Chapter 8 Multiply Fractions Image 3\" width=\"300\" height=\"134\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Multiply-Fractions-Image-3-300x134.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Multiply-Fractions-Image-3.jpg 463w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n2\/8, 3\/8, 4\/8, 5\/8<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 12.<br \/>\nSo far, Monica has read \\(\\frac{5}{6}\\) of a book. She has read the same number of pages each day for 5 days. What fraction of the book does Monica read each day?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of the book<\/p>\n<p>Answer:<br \/>\n1\/6 of the book<\/p>\n<p>Explanation:<br \/>\nMonica has read 5\/6 of a book. She has read the same number of pages each day for 5 days.<br \/>\nFor 1 day, she read one page. In total, she read 5 pages in 5 days. So, Monica read 1\/6 of a book each day.<\/p>\n<p>Question 13.<br \/>\nNicholas buys \\(\\frac{3}{8}\\) pound of cheese. He puts the same amount of cheese on 3 sandwiches. How much cheese does Nicholas put on each sandwich?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) pound of cheese<\/p>\n<p>Answer:<br \/>\n1\/8 pound of cheese<\/p>\n<p>Explanation:<br \/>\nNicholas buys 3\/8 pound of cheese. He bought 3 sandwiches. Then, he applied 3\/8 pound of cheese on 3 sandwiches. So, 3 x 1\/8 cheese he put on 3 sandwiches. So, for one sandwich he put 1\/8 pound of cheese.<\/p>\n<h3><a id=\"Multiples_of_Unit_Fractions_Lesson_Check_-_Page_No._460\"><\/a>Common Core &#8211; New &#8211; Page No. 460<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nSelena walks from home to school each morning and back home each afternoon. Altogether, she walks \\(\\frac{2}{3}\\) mile each day. How far does Selena live from school?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{3}\\) mile<br \/>\nb. \\(\\frac{2}{3}\\) mile<br \/>\nc. 1 \\(\\frac{1}{3}\\) mile<br \/>\nd. 2 miles<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{1}{3}\\) mile<\/p>\n<p>Explanation:<br \/>\nSelena walks from home to school each morning and back home each afternoon. Altogether, she walks 2\/3 miles each day. The distance between home and school will remain the same. So, 2\/3 x 1\/2 = 1\/3 mile far Selena live from the school.<\/p>\n<p>Question 2.<br \/>\nWill uses \\(\\frac{3}{4}\\) cup of olive oil to make 3 batches of salad dressing. How much oil does Will use for one batch of salad dressing?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\) cup<br \/>\nb. \\(\\frac{1}{3}\\) cup<br \/>\nc. 2 \\(\\frac{1}{3}\\) cups<br \/>\nd. 3 cups<\/p>\n<p>Answer:<br \/>\n1\/8 pound of cheesa. \\(\\frac{1}{4}\\) cup<\/p>\n<p>Explanation:<br \/>\nWill uses 34 cups of olive oil to make 3 batches of salad dressing. To know the one batch of salad dressing, we need to take one part of salad dressing = 1\/3. So, 3\/4 x 1\/3 = 1\/4 cup of olive oil will use for one batch of salad dressing.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nLiza bought \\(\\frac{5}{8}\\) pound of trail mix. She gives \\(\\frac{2}{8}\\) pound of trail mix to Michael. How much trail mix does Liza have left?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{8}\\) pound<br \/>\nb. \\(\\frac{2}{8}\\) pound<br \/>\nc. \\(\\frac{3}{8}\\) pound<br \/>\nd. \\(\\frac{4}{8}\\) pound<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{3}{8}\\) pound<\/p>\n<p>Explanation:<br \/>\nLiza bought 58 pound of trail mix. She gives 28 pound of trail mix to Michael.<br \/>\nSo, Liza have left 5\/8 &#8211; 2\/8 = 3\/8 trail mix.<\/p>\n<p>Question 4.<br \/>\nLeigh has a piece of rope that is 6 \\(\\frac{2}{3}\\) feet long. How do you write 6 \\(\\frac{2}{3}\\) as a fraction greater than 1?<br \/>\nOptions:<br \/>\na. \\(\\frac{11}{3}\\)<br \/>\nb. \\(\\frac{15}{3}\\)<br \/>\nc. \\(\\frac{20}{3}\\)<br \/>\nd. \\(\\frac{62}{3}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{20}{3}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the denominator with the whole number. i.e Multiply 3 with 6 in the given example, 6 (2\/3).<br \/>\n3 x 6 =18.<br \/>\nAdd 18 + 2 =20.<br \/>\nKeep the Denominator the same i.e. 3.<br \/>\nThe obtained fraction is 20\/3.<\/p>\n<p>Question 5.<br \/>\nRandy\u2019s house number is a composite number. Which of the following could be Randy\u2019s house number?<br \/>\nOptions:<br \/>\na. 29<br \/>\nb. 39<br \/>\nc. 59<br \/>\nd. 79<\/p>\n<p>Answer:<br \/>\nb. 39<\/p>\n<p>Explanation:<br \/>\nThe composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers because they are divisible by more than two numbers. 39 is the composite number. 39 is divide by 13 and 3.<\/p>\n<p>Question 6.<br \/>\nMindy buys 12 cupcakes. Nine of the cupcakes have chocolate frosting and the rest have vanilla frosting. What fraction of the cupcakes have vanilla frosting?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{1}{3}\\)<br \/>\nc. \\(\\frac{2}{3}\\)<br \/>\nd. \\(\\frac{3}{4}\\)<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nMindy buys 12 cupcakes.<br \/>\nNine of the cupcakes have chocolate frosting = 9\/12.<br \/>\nThe rest have vanilla frosting. So, there are 3 cups remained = 3\/12 = 1\/4.<br \/>\n1\/4 cupcakes have vanilla frosting.<\/p>\n<h3><a id=\"Multiples_of_Fractions_-_Page_No._463\"><\/a>Page No. 463<\/h3>\n<p>Question 1.<br \/>\nWrite three multiples of \\(\\frac{3}{8}\\).<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-2.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 2\" width=\"463\" height=\"117\" \/><br \/>\n1 \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{\u25a0}{8}\\)<br \/>\n2 \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{\u25a0}{8}\\)<br \/>\n3 \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{\u25a0}{8}\\)<br \/>\nMultiples of \\(\\frac{3}{8}\\) are ____ , ____ , and ____ .<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3\/8, 6\/8, 9\/8, 12\/8.<\/p>\n<p>Explanation:<br \/>\n1 x 3\/8 = 3\/8.<br \/>\n2 x 3\/8 = 6\/8.<br \/>\n3 x 3\/8 = 9\/8.<br \/>\n4 x 3\/8 = 12\/8.<br \/>\nMultiples of 3\/8 are 3\/8, 6\/8, 9\/8, 12\/8.<\/p>\n<p><strong>List the next four multiples of the fraction.<\/strong><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{6}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n6\/6, 9\/6, 12\/6, 20\/6<\/p>\n<p>Explanation:<br \/>\n1 x 3\/6 = 3\/6.<br \/>\n2 x 3\/6 = 6\/6.<br \/>\n3 x 3\/6 = 9\/6.<br \/>\n4 x 3\/6 = 12\/6.<br \/>\n5 x 4\/6 = 20\/6.<br \/>\nNext four multiples of 3\/6 are 6\/6, 9\/6, 12\/6, 20\/6.<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{10}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4\/10, 6\/10, 8\/10, 10\/10<\/p>\n<p>Explanation:<br \/>\n1 x 2\/10 = 2\/10.<br \/>\n2 x 2\/10 = 4\/10.<br \/>\n3 x 2\/10 = 6\/10.<br \/>\n4 x 2\/10 = 8\/10.<br \/>\n5 x 2\/10 = 10\/10.<br \/>\nThe next four multiples of 2\/10 are 4\/10, 6\/10, 8\/10, 10\/10.<\/p>\n<p><strong>Write the product as the product of a whole number and a unit fraction.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-3.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 3\" width=\"362\" height=\"84\" \/><br \/>\n3 \u00d7 \\(\\frac{3}{4}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n9\/4 = 9 x 1\/4<\/p>\n<p>Explanation:<br \/>\n1 group of 3\/4 = 3\/4<br \/>\n2 groups of 3\/4 = 6\/4<br \/>\n3 groups of 3\/4 = 9\/4<br \/>\n3 x 3\/4 = 9\/4.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-4.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 4\" width=\"372\" height=\"98\" \/><br \/>\n2 \u00d7 \\(\\frac{4}{6}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8\/6 = 8 x 1\/6<\/p>\n<p>Explanation:<br \/>\n1 group of 4\/6 = 4\/6<br \/>\n2 groups of 4\/6 = 8\/6<br \/>\n2 x 4\/6 = 8\/6 = 8 x 1\/6.<\/p>\n<p><strong>List the next four multiples of the fraction.<\/strong><\/p>\n<p>Question 6.<br \/>\n\\(\\frac{4}{5}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8\/5, 12\/5, 16\/5, 20\/5<\/p>\n<p>Explanation:<br \/>\n1 x 4\/5 = 4\/5.<br \/>\n2 x 4\/5 = 8\/5.<br \/>\n3 x 4\/5 = 12\/5.<br \/>\n4 x 4\/5 = 16\/5.<br \/>\n5 x 4\/5 = 20\/5.<br \/>\nThe next four multiples of 4\/5 are 8\/5, 12\/5, 16\/5, 20\/5.<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{2}{4}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4\/4, 6\/4, 8\/4, 10\/4<\/p>\n<p>Explanation:<br \/>\n1 x 2\/4 = 2\/4.<br \/>\n2 x 2\/4 = 4\/4.<br \/>\n3 x 2\/4 = 6\/4.<br \/>\n4 x 2\/4 = 8\/4.<br \/>\n5 x 2\/4 = 10\/4.<br \/>\nThe next four multiples of 2\/4 are 4\/4, 6\/4, 8\/4, 10\/4.<\/p>\n<p><strong>Write the product as the product of a whole number and a unit fraction.<\/strong><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-5.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 5\" width=\"366\" height=\"90\" \/><br \/>\n4 \u00d7 \\(\\frac{2}{8}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8\/8 = 8 x 1\/8<\/p>\n<p>Explanation:<br \/>\n1 group of 2\/8 = 2\/8<br \/>\n2 groups of 2\/8 = 4\/8<br \/>\n3 groups of 2\/8 = 6\/8<br \/>\n4 groups of 2\/8 = 8\/8<br \/>\n4 x 2\/8 = 8\/8 = 8 x 1\/8.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-6.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 6\" width=\"370\" height=\"94\" \/><br \/>\n3 \u00d7 \\(\\frac{3}{5}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n9\/5 = 9 x 1\/5<\/p>\n<p>Explanation:<br \/>\n1 group of 3\/5 = 3\/5<br \/>\n2 groups of 3\/5 = 6\/5<br \/>\n3 groups of 3\/5 = 9\/5<br \/>\n3 x 3\/5 = 9\/5 = 9 x 1\/5.<\/p>\n<p>Question 10.<br \/>\nUse Repeated Reasoning Are \\(\\frac{6}{10}\\) and \\(\\frac{6}{30}\\) multiples of \\(\\frac{3}{10}\\)?<br \/>\nExplain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3\/30<\/p>\n<p>Explanation:<br \/>\nUse Repeated Reasoning Are 6\/10 and 6\/30 multiples of 3\/10 and 3\/30.<\/p>\n<p>Question 11.<br \/>\nWhich is greater, 4 \u00d7 \\(\\frac{2}{7}\\) or 3 \u00d7 \\(\\frac{3}{7}\\)? Explain.<br \/>\n4 \u00d7 \\(\\frac{2}{7}\\) _____ 3 \u00d7 \\(\\frac{3}{7}\\)<\/p>\n<p>Answer:<br \/>\n4 \u00d7 \\(\\frac{2}{7}\\) __&lt;___ 3 \u00d7 \\(\\frac{3}{7}\\)<\/p>\n<p>Explanation:<br \/>\n8\/7 &lt; 9\/7<br \/>\nSo, 4 x 2\/7 &lt; 3 x 3\/7<\/p>\n<h3><a id=\"Multiples_of_Fractions_Lesson_Check_-_Page_No._464\"><\/a>Page No. 464<\/h3>\n<p>Question 12.<br \/>\nJosh is watering his plants. He gives each of 2 plants \\(\\frac{3}{5}\\) pint of water. His watering can holds \\(\\frac{1}{5}\\) pint. How many times will he fill his watering can to water both plants?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-7.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 7\" width=\"195\" height=\"273\" \/><br \/>\na. What do you need to find?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nWe need to find how many times Josh needs to fill his watering can to water both plants.<\/p>\n<p>Question 12.<br \/>\nb. What information do you need to use?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nUse the Number of plants = 2.<br \/>\nHe gives each plant a 3\/5 pint of water.<br \/>\nHis watering can hold 1\/5 pint.<\/p>\n<p>Question 12.<br \/>\nc. How can drawing a model help you solve the problem?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-6.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 6\" width=\"370\" height=\"94\" \/><\/p>\n<p>Question 12.<br \/>\nd. Show the steps you use to solve the problem.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nIf Josh gives each plant 3\/5 pint, then that&#8217;s a total of 6\/5 pint.<br \/>\n6\/5 = 6 x 1\/5.<\/p>\n<p>Question 12.<br \/>\ne. Complete the sentence. Josh will fill his watering can ____ times.<br \/>\n____ times<\/p>\n<p>Answer:<br \/>\nJosh will fill his watering can 6 times.<\/p>\n<p>Question 13.<br \/>\nAlma is making 3 batches of tortillas. She adds \\(\\frac{3}{4}\\) cup of water to each batch. The measuring cup holds \\(\\frac{1}{4}\\) cup. How many times must Alma measure \\(\\frac{1}{4}\\) cup of water to have enough for the tortillas? Shade the model to show your answer.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-8.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 8\" width=\"203\" height=\"122\" \/><br \/>\nAlma must measure \\(\\frac{1}{4}\\) cup ______ times.<br \/>\n____ times<\/p>\n<p>Answer:<br \/>\n12 times<\/p>\n<p>Explanation:<br \/>\nAlma is making 3 batches of tortillas. She adds a 3\/4 cup of water to each batch. The measuring cup holds 1\/4 cup.<br \/>\nAlma must measure 1\/4 cup 12 times.<\/p>\n<h3><a id=\"Multiples_of_Fractions_Lesson_Check_1_-_Page_No._465\"><\/a>Common Core &#8211; New &#8211; Page No. 465<\/h3>\n<p><strong>Multiples of Fractions<\/strong><\/p>\n<p><strong>List the next four multiples of the fraction.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{3}{5}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n6\/5, 9\/5, 12\/5, 20\/5<\/p>\n<p>Explanation:<br \/>\n1 x 3\/5 = 3\/5.<br \/>\n2 x 3\/5 = 6\/5.<br \/>\n3 x 3\/5 = 9\/5.<br \/>\n4 x 3\/5 = 12\/5.<br \/>\n5 x 4\/5 = 20\/5.<br \/>\nThe next four multiples of 3\/5 are 6\/5, 9\/5, 12\/5, 20\/5.<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{6}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4\/6, 6\/6, 8\/6, 10\/6<\/p>\n<p>Explanation:<br \/>\n1 x 2\/6 = 2\/6.<br \/>\n2 x 2\/6 = 4\/6.<br \/>\n3 x 2\/6 = 6\/6.<br \/>\n4 x 2\/6 = 8\/6.<br \/>\n5 x 2\/6 = 10\/6.<br \/>\nThe next four multiples of 2\/6 are 4\/6, 6\/6, 8\/6, 10\/6.<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{4}{8}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8\/8, 12\/8, 16\/8, 20\/8<\/p>\n<p>Explanation:<br \/>\n1 x 4\/8 = 4\/8.<br \/>\n2 x 4\/8 = 8\/8.<br \/>\n3 x 4\/8 = 12\/8.<br \/>\n4 x 4\/8 = 16\/8.<br \/>\n5 x 4\/8 = 20\/8.<br \/>\nThe next four multiples of 4\/8 are 8\/8, 12\/8, 16\/8, 20\/8.<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{5}{10}\\) ,<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n10\/10, 15\/10, 20\/10, 25\/10<\/p>\n<p>Explanation:<br \/>\n1 x 5\/10 = 5\/10.<br \/>\n2 x 5\/10 = 10\/10.<br \/>\n3 x 5\/10 = 15\/10.<br \/>\n4 x 5\/10 = 20\/10.<br \/>\n5 x 5\/10 = 25\/10.<br \/>\nThe next four multiples of 5\/10 are 10\/10, 15\/10, 20\/10, 25\/10.<\/p>\n<p><strong>Write the product as the product of a whole number and a unit fraction.<\/strong><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 9\" width=\"325\" height=\"90\" \/><br \/>\n2 \u00d7 \\(\\frac{4}{5}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8\/5 = 8 x 1\/5<\/p>\n<p>Explanation:<br \/>\n1 group of 4\/5 = 4\/5<br \/>\n2 groups of 4\/5 = 8\/5<br \/>\n2 x 4\/5 = 8\/5 = 8 x 1\/5.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-10.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 10\" width=\"331\" height=\"92\" \/><br \/>\n5 \u00d7 \\(\\frac{2}{3}\\) =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n10\/3 = 10 x 1\/3<\/p>\n<p>Explanation:<br \/>\n1 group of 2\/3 = 2\/3<br \/>\n2 group of 2\/3 = 4\/3<br \/>\n3 group of 2\/3 = 6\/3<br \/>\n4 group of 2\/3 = 8\/3<br \/>\n5 group of 2\/3 = 10\/3<br \/>\n5 x 2\/3 = 10\/3 = 10 x 1\/3.<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 7.<br \/>\nJessica is making 2 loaves of banana bread. She needs \\(\\frac{3}{4}\\) cup of sugar for each loaf. Her measuring cup can only hold \\(\\frac{1}{4}\\) cup of sugar. How many times will Jessica need to fill the measuring cup in order to get enough sugar for both loaves of bread?<br \/>\n_____ times<\/p>\n<p>Answer:<br \/>\n6 times<\/p>\n<p>Explanation:<br \/>\nJessica is making 2 loaves of banana bread. She needs a 3\/4 cup of sugar for each loaf.<br \/>\nFor 2 loaves, she needs 2 x 3\/4 = 6\/4 cups of sugar.<br \/>\nHer measuring cup can only hold 1\/4 cup of sugar. So, to get the 3\/4 cup of sugar, she needs to fill the cup 3 times. 1\/4 + 1\/4 + 1\/4 = 3\/4.<br \/>\nSo, to fill 2 loaves, she needs to fill cup 3 x 2 = 6 times.<\/p>\n<p>Question 8.<br \/>\nA group of four students is performing an experiment with salt. Each student must add \\(\\frac{3}{8}\\) teaspoon of salt to a solution. The group only has a \\(\\frac{1}{8}\\) teaspoon measuring spoon. How many times will the group need to fill the measuring spoon in order to perform the experiment?<br \/>\n_____ times<\/p>\n<p>Answer:<br \/>\n12 times<\/p>\n<p>Explanation:<br \/>\nA group of four students is performing an experiment with salt. Each student must add a 3\/8 teaspoon of salt to a solution. 4 x 3\/8 = 12\/8 teaspoon of salt required to finish the experiment.<br \/>\nIf they have 1\/8 teaspoon measuring spoon, 12 x 1\/8.<br \/>\nSo, the group needs to fill the measuring spoon 12 times in order to perform the experiment.<\/p>\n<h3><a id=\"Multiples_of_Fractions_Lesson_Check_2_-_Page_No._466\"><\/a>Common Core &#8211; New &#8211; Page No. 466<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nEloise made a list of some multiples of \\(\\frac{5}{8}\\). Which of the following lists could be Eloise\u2019s list?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{8}, \\frac{10}{16}, \\frac{15}{24}, \\frac{20}{32}, \\frac{25}{40}\\)<br \/>\nb. \\(\\frac{5}{8}, \\frac{10}{8}, \\frac{15}{8}, \\frac{20}{8}, \\frac{25}{8}\\)<br \/>\nc. \\(\\frac{5}{8}, \\frac{6}{8}, \\frac{7}{8}, \\frac{8}{8}, \\frac{9}{8}\\)<br \/>\nd. \\(\\frac{1}{8}, \\frac{2}{8}, \\frac{3}{8}, \\frac{4}{8}, \\frac{5}{8}\\)<\/p>\n<p>Answer:<br \/>\nb. \\(\\frac{5}{8}, \\frac{10}{8}, \\frac{15}{8}, \\frac{20}{8}, \\frac{25}{8}\\)<\/p>\n<p>Explanation:<br \/>\n1 x 5\/8 = 5\/8.<br \/>\n2 x 5\/8 = 10\/8.<br \/>\n3 x 5\/8 = 15\/8.<br \/>\n4 x 5\/8 = 20\/8.<br \/>\n5 x 5\/8 = 25\/8.<br \/>\nThe next four multiples of 5\/8 are 10\/8, 15\/8, 20\/8, 25\/8.<\/p>\n<p>Question 2.<br \/>\nDavid is filling five \\(\\frac{3}{4}\\) quart bottles with a sports drink. His measuring cup only holds \\(\\frac{1}{4}\\) quart. How many times will David need to fill the measuring cup in order to fill the 5 bottles?<br \/>\nOptions:<br \/>\na. 5<br \/>\nb. 10<br \/>\nc. 15<br \/>\nd. 20<\/p>\n<p>Answer:<br \/>\nc. 15<\/p>\n<p>Explanation:<br \/>\nDavid is filling five 3\/4 quart bottles with a sports drink = 5 x 3\/4 = 15\/4.<br \/>\nHis measuring cup only holds 1\/4 quart.<br \/>\nSo, 15 x 1\/4. David needs to fill the measuring cup 15 times in order to fill the 5 bottles.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nIra has 128 stamps in his stamp album. He has the same number of stamps on each of the 8 pages. How many stamps are on each page?<br \/>\nOptions:<br \/>\na. 12<br \/>\nb. 14<br \/>\nc. 16<br \/>\nd. 18<\/p>\n<p>Answer:<br \/>\nc. 16<\/p>\n<p>Explanation:<br \/>\nIra has 128 stamps in his stamp album. He has the same number of stamps on each of the 8 pages.<br \/>\n128\/8 = 16 stamps on each page.<\/p>\n<p>Question 4.<br \/>\nRyan is saving up for a bike that costs $198. So far, he has saved $15 per week for the last 12 weeks. How much more money does Ryan need in order to be able to buy the bike?<br \/>\nOptions:<br \/>\na. $ 8<br \/>\nb. $ 18<br \/>\nc. $ 48<br \/>\nd. $ 180<\/p>\n<p>Answer:<br \/>\nb. $ 18<\/p>\n<p>Explanation:<br \/>\nRyan is saving up for a bike that costs $198.<br \/>\nSo far, he has saved $15 per week for the last 12 weeks = $15 x 12 = $180.<br \/>\n$198 &#8211; $180 = $18 need in order to buy the bike.<\/p>\n<p>Question 5.<br \/>\nTina buys 3 \\(\\frac{7}{8}\\) yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 \\(\\frac{3}{8}\\) yards of the fabric leftover. How many yards of material did Tina use?<br \/>\nOptions:<br \/>\na. 1 \\(\\frac{4}{8}\\)<br \/>\nb. 2 \\(\\frac{1}{8}\\)<br \/>\nc. 2 \\(\\frac{4}{8}\\)<br \/>\nd. 5 \\(\\frac{2}{8}\\)<\/p>\n<p>Answer:<br \/>\nc. 2 \\(\\frac{4}{8}\\)<\/p>\n<p>Explanation:<br \/>\nTina buys 3 7\/8 yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 3\/8 yards of the fabric leftover.<br \/>\n3 -1 = 2; 7\/8 &#8211; 3\/8 = 4\/8. So, answer is 2 4\/8.<\/p>\n<p>Question 6.<br \/>\nWhich list shows the fractions in order from least to greatest?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{3}, \\frac{3}{4}, \\frac{7}{12}\\)<br \/>\nb. \\(\\frac{7}{12}, \\frac{3}{4}, \\frac{2}{3}\\)<br \/>\nc. \\(\\frac{3}{4}, \\frac{2}{3}, \\frac{7}{12}\\)<br \/>\nd. \\(\\frac{7}{12}, \\frac{2}{3}, \\frac{3}{4}\\)<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{7}{12}, \\frac{2}{3}, \\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n2\/3 = 0.666<br \/>\n3\/4 = 0.75<br \/>\n7\/12 = 0.5833<br \/>\n7\/12, 2\/3, 3\/4<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_-_Page_No._467\"><\/a>Page No. 467<\/h3>\n<p><strong>Choose the best term from the box.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-11.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 11\" width=\"213\" height=\"151\" \/><\/p>\n<p>Question 1.<br \/>\nA __________ of a number is the product of the number and a counting number.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMultiple<\/p>\n<p>Question 2.<br \/>\nA _________ always has a numerator of 1.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nUnit Fraction<\/p>\n<p><strong>List the next four multiples of the unit fraction.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{2}\\) ,<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n2\/2, 3\/2, 4\/2, 5\/2<\/p>\n<p>Explanation:<br \/>\n1 x 1\/2 = 1\/2.<br \/>\n2 x 1\/2 = 2\/2.<br \/>\n3 x 1\/2 = 3\/2.<br \/>\n4 x 1\/2 = 4\/2.<br \/>\n5 x 1\/2 = 5\/2.<br \/>\nThe next four multiples of 1\/2 are 2\/2, 3\/2, 4\/2, 5\/2.<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{5}\\) ,<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n2\/5, 3\/5, 4\/5, 5\/5<\/p>\n<p>Explanation:<br \/>\n1 x 1\/5 = 1\/5.<br \/>\n2 x 1\/5 = 2\/5.<br \/>\n3 x 1\/5 = 3\/5.<br \/>\n4 x 1\/5 = 4\/5.<br \/>\n5 x 1\/5 = 5\/5.<br \/>\nThe next four multiples of 1\/5 are 2\/5, 3\/5, 4\/5, 5\/5.<\/p>\n<p><strong>Write the fraction as a product of a whole number and a unit fraction.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{4}{10}\\) = _____ \u00d7 \\(\\frac{1}{10}\\)<\/p>\n<p>Answer:<br \/>\n4<\/p>\n<p>Explanation:<br \/>\n4\/10 = 4 x 1\/10<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{8}{12}\\) = _____ \u00d7 \\(\\frac{1}{12}\\)<\/p>\n<p>Answer:<br \/>\n8<\/p>\n<p>Explanation:<br \/>\n8\/12 = 8 x 1\/12<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{3}{4}\\) = _____ \u00d7 \\(\\frac{1}{4}\\)<\/p>\n<p>Answer:<br \/>\n3<\/p>\n<p>Explanation:<br \/>\n3\/4 = 3 x 1\/4<\/p>\n<p><strong>List the next four multiples of the fraction.<\/strong><\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{5}\\) ,<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n4\/5, 6\/5, 8\/5, 10\/5<\/p>\n<p>Explanation:<br \/>\n1 x 2\/5 = 1\/5.<br \/>\n2 x 2\/5 = 4\/5.<br \/>\n3 x 2\/5 = 6\/5.<br \/>\n4 x 2\/5 = 8\/5.<br \/>\n5 x 2\/5 = 10\/5.<br \/>\nThe next four multiples of 1\/5 are 4\/5, 6\/5, 8\/5, 10\/5.<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{5}{6}\\) ,<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n10\/6, 15\/6, 20\/6, 25\/6<\/p>\n<p>Explanation:<br \/>\n1 x 5\/6 = 5\/6.<br \/>\n2 x 5\/6 = 10\/6.<br \/>\n3 x 5\/6 = 15\/6.<br \/>\n4 x 5\/6 = 20\/6.<br \/>\n5 x 5\/6 = 25\/6.<br \/>\nThe next four multiples of 5\/6 are 10\/6, 15\/6, 20\/6, 25\/6.<\/p>\n<p><strong>Write the product as the product of a whole number and a unit fraction.<\/strong><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-12.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 12\" width=\"344\" height=\"93\" \/><br \/>\n4 \u00d7 \\(\\frac{2}{6}\\) =<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n8\/6 = 8 x 1\/6<\/p>\n<p>Explanation:<br \/>\n1 group of 2\/6 = 2\/6<br \/>\n2 groups of 2\/6 = 4\/6<br \/>\n3 groups of 2\/6 = 6\/6<br \/>\n4 groups of 2\/6 = 8\/6<br \/>\n4 x 2\/6 = 8\/6 = 8 x 1\/6.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-13.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 13\" width=\"348\" height=\"95\" \/><br \/>\n3 \u00d7 \\(\\frac{3}{8}\\) =<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n9\/8 = 9 x 1\/8<\/p>\n<p>Explanation:<br \/>\n1 group of 3\/8 = 3\/8<br \/>\n2 groups of 3\/8 = 6\/8<br \/>\n3 groups of 3\/8 = 9\/8<br \/>\n3 x 3\/8 = 9\/8 = 9 x 1\/8.<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._468\"><\/a>Page No. 468<\/h3>\n<p>Question 12.<br \/>\nPedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now \\(\\frac{8}{10}\\) is left. Pedro wants to make a sign from each remaining part of the poster board. How many signs can he make?<br \/>\n______ signs<\/p>\n<p>Answer:<br \/>\n8 signs<\/p>\n<p>Explanation:<br \/>\nPedro cut a sheet of poster board into 10 equal parts.<br \/>\nHis brother uses some of the poster board and now an 8\/10 is left.<br \/>\nSo, the remaining part of the b\\poster board is 8\/10 parts.<br \/>\nPedro can use 8\/ 10 parts of the board to make signs.<br \/>\nSo, he can make 8 signs.<\/p>\n<p>Question 13.<br \/>\nElla is making 3 batches of banana milkshakes. She needs \\(\\frac{3}{4}\\) gallon of milk for each batch. Her measuring cup holds \\(\\frac{1}{4}\\) gallon. How many times will she need to fill the measuring cup to make all 3 batches of milkshakes?<br \/>\n______ times<\/p>\n<p>Answer:<br \/>\n9 times<\/p>\n<p>Explanation:<br \/>\nElla is making 3 batches of banana milkshakes. She needs 3\/4 gallon of milk for each batch. So, she needs 3 x 3\/4 = 9\/4 cups for 3 batches of banana milkshakes. Her measuring cup holds 1\/4 gallon.<br \/>\n9\/4 = 9 x 1\/4.<br \/>\nSo, Ella needs to fill the measuring cup 9 times to make all 3 batches of milkshakes.<\/p>\n<p>Question 14.<br \/>\nDarren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now \\(\\frac{5}{8}\\) is left. Darren wants to put each slice of the leftover pie on its own plate. What part of the pie will he put on each plate?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of the pie on each plate.<\/p>\n<p>Answer:<br \/>\n5\/8 of the pie on each plate<\/p>\n<p>Explanation:<br \/>\nDarren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now 5\/8 is left. So, 5 pie slices leftover.<br \/>\nDarren can put 5\/8 parts of the pie on each plate.<\/p>\n<p>Question 15.<br \/>\nBeth is putting liquid fertilizer on the plants in 4 flowerpots. Her measuring spoon holds \\(\\frac{1}{8}\\) teaspoon. The directions say to put \\(\\frac{5}{8}\\) teaspoon of fertilizer in each pot. How many times will Beth need to fill the measuring spoon to fertilize the plants in the 4 pots?<br \/>\n______ times<\/p>\n<p>Answer:<br \/>\n20 times<\/p>\n<p>Explanation:<br \/>\nBeth is putting liquid fertilizer on the plants in 4 flowerpots. Her measuring spoon holds 1\/8 teaspoon.<br \/>\nThe directions say to put 5\/8 teaspoon of fertilizer in each pot. So, 4 x 5\/8 = 20\/8.<br \/>\n20\/8 = 20 x 1\/8. Beth needs to fill the measuring spoon 20 times to fertilize the plants in the 4 pots.<\/p>\n<h3><a id=\"Multiply_a_Fraction_by_a_Whole_Number_Using_Models_-_Page_No._471\"><\/a>Page No. 471<\/h3>\n<p>Question 1.<br \/>\nFind the product of 3 \u00d7 \\(\\frac{5}{8}\\).<br \/>\n1 group of \\(\\frac{5}{8}\\) = \\(\\frac{\u25a1}{8}\\)<br \/>\n2 groups of \\(\\frac{5}{8}\\) = \\(\\frac{\u25a1}{8}\\)<br \/>\n3 groups of \\(\\frac{5}{8}\\) = \\(\\frac{\u25a1}{8}\\)<br \/>\n3 \u00d7 \\(\\frac{5}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n15\/8<\/p>\n<p>Explanation:<br \/>\n1 group of 5\/8 = 2\/8<br \/>\n2 groups of 5\/8 = 4\/8<br \/>\n3 groups of 5\/8 = 6\/8<br \/>\n3 x 5\/8 = 15\/8.<\/p>\n<p><strong>Multiply.<\/strong><\/p>\n<p>Question 2.<br \/>\n2 \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n8\/5<\/p>\n<p>Explanation:<br \/>\n1 group of 4\/5 = 4\/5<br \/>\n2 groups of 4\/5 = 8\/5<br \/>\n2 x 4\/5 = 8\/5.<\/p>\n<p>Question 3.<br \/>\n4 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n8\/3<\/p>\n<p>Explanation:<br \/>\n1 group of 2\/3 = 2\/3<br \/>\n2 groups of 2\/3 = 4\/3<br \/>\n3 groups of 2\/3 = 6\/3<br \/>\n4 groups of 2\/3 = 8\/3<br \/>\n4 x 2\/3 = 8\/3<\/p>\n<p>Question 4.<br \/>\n5 \u00d7 \\(\\frac{3}{10}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n15\/10<\/p>\n<p>Explanation:<br \/>\n1 group of 3\/10 = 3\/10<br \/>\n2 groups of 3\/10 = 6\/10<br \/>\n3 groups of 3\/10 = 9\/10<br \/>\n4 groups of 3\/10 = 12\/10<br \/>\n5 groups of 3\/10 = 15\/10<br \/>\n5 x 3\/10 = 15\/10<\/p>\n<p>Question 5.<br \/>\n4 \u00d7 \\(\\frac{5}{6}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n20\/6<\/p>\n<p>Explanation:<br \/>\n1 group of 5\/6 = 5\/6<br \/>\n2 groups of 5\/6 = 10\/6<br \/>\n3 groups of 5\/6 = 15\/6<br \/>\n4 groups of 5\/6 = 20\/6<br \/>\n4 x 5\/6 = 20\/6<\/p>\n<p><strong>Multiply.<\/strong><\/p>\n<p>Question 6.<br \/>\n2 \u00d7 \\(\\frac{7}{12}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n7\/6<\/p>\n<p>Explanation:<br \/>\n1 group of 7\/12 = 7\/12<br \/>\n2 groups of 7\/12 = 14\/12<br \/>\n2 x 7\/12 = 14\/12 = 7\/6<\/p>\n<p>Question 7.<br \/>\n6 \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n9\/4<\/p>\n<p>Explanation:<br \/>\n1 group of 3\/8 = 3\/8<br \/>\n2 groups of 3\/8 = 6\/8<br \/>\n3 groups of 3\/8 = 9\/8<br \/>\n4 groups of 3\/8 = 12\/8<br \/>\n5 groups of 3\/8 = 15\/8<br \/>\n6 groups of 3\/8 = 18\/8<br \/>\n6 x 3\/8 = 18\/8 = 9\/4<\/p>\n<p>Question 8.<br \/>\n5 \u00d7 \\(\\frac{2}{4}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n5\/2<\/p>\n<p>Explanation:<br \/>\n1 group of 2\/4 = 2\/4<br \/>\n2 groups of 2\/4 = 4\/4<br \/>\n3 groups of 2\/4 = 6\/4<br \/>\n4 groups of 2\/4 = 8\/4<br \/>\n5 groups of 2\/4 = 10\/4<br \/>\n5 x 2\/4 = 10\/4 = 5\/2<\/p>\n<p>Question 9.<br \/>\n3 \u00d7 \\(\\frac{4}{6}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2<\/p>\n<p>Explanation:<br \/>\n1 group of 4\/6 = 4\/6<br \/>\n2 groups of 4\/6 = 8\/6<br \/>\n3 groups of 4\/6 = 12\/6<br \/>\n3 x 4\/6 = 12\/6 = 2<\/p>\n<p>Question 10.<br \/>\n2 \u00d7 \\(\\frac{5}{10}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2<\/p>\n<p>Explanation:<br \/>\n1 group of 5\/10 = 5\/10<br \/>\n2 groups of 5\/10 = 10\/10<br \/>\n2 x 10\/10 = 2 x 1 = 2<\/p>\n<p>Question 11.<br \/>\n4 \u00d7 \\(\\frac{2}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n1<\/p>\n<p>Explanation:<br \/>\n1 group of 2\/8 = 2\/8<br \/>\n2 groups of 2\/8 = 4\/8<br \/>\n3 groups of 2\/8 = 6\/8<br \/>\n4 groups of 2\/8 = 8\/8<br \/>\n4 x 2\/8 = 8\/8 = 1<\/p>\n<p><strong>Look for a Pattern Algebra Write the unknown number.<\/strong><\/p>\n<p>Question 12.<br \/>\n\u25a1 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{12}{3}\\)<br \/>\n\u25a1 = ____<\/p>\n<p>Answer:<br \/>\n6<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is s.<br \/>\ns x 2\/3 = 12\/3<br \/>\ns = 12\/3 x 3\/2 = 6.<\/p>\n<p>Question 13.<br \/>\n5 \u00d7 \\(\\frac{\u25a1}{4}\\) = \\(\\frac{10}{4}\\)<br \/>\n\u25a1 = ____<\/p>\n<p>Answer:<br \/>\n2<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is s.<br \/>\n5 x s\/4 = 10\/4<br \/>\n5\/4 x s = 10\/4<br \/>\ns = 10\/4 x 4\/5 =2.<\/p>\n<p>Question 14.<br \/>\n2 \u00d7 \\(\\frac{7}{\u25a1}\\) = \\(\\frac{14}{8}\\)<br \/>\n\u25a1 = ____<\/p>\n<p>Answer:<br \/>\n8<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is s.<br \/>\n2 x 7\/s = 14\/8<br \/>\n14\/s = 14\/8<br \/>\ns x 14\/8 = 14<br \/>\ns = 14 x 8\/14<br \/>\ns = 8.<\/p>\n<h3><a id=\"Multiply_a_Fraction_by_a_Whole_Number_Using_Models_Lesson_Check_-_Page_No._472\"><\/a>Page No. 472<\/h3>\n<p>Question 15.<br \/>\nLisa makes clothes for pets. She needs \\(\\frac{5}{6}\\) yard of fabric to make 1 dog coat. How much fabric does she need to make 3 dog coats?<br \/>\na. What do you need to find?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe number of fabric yards required for 3 dog coats<\/p>\n<p>Question 15.<br \/>\nb. What information do you need?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nHow much she needs of fabric for 1 dog coat can helps to find for 3 dog coats.<\/p>\n<p>Question 15.<br \/>\nc. Show the steps you use to solve the problem.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nLisa makes clothes for pets. She needs a 5\/6 yard of fabric to make 1 dog coat.<br \/>\nFor 3 dogs = 5\/6 x 3 =5\/2<\/p>\n<p>Question 15.<br \/>\nd. Complete the sentence.<br \/>\nLisa needs _____ yards of fabric to make 3 dog coats.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\nLisa needs a 5\/2 yard of fabric to make 3 dog coats.<\/p>\n<p>Question 16.<br \/>\nManuel\u2019s small dog eats \\(\\frac{2}{4}\\) bag of dog food in 1 month. His large dog eats \\(\\frac{3}{4}\\) bag of dog food in 1 month. How many bags do both dogs eat in 6 months?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) bags<\/p>\n<p>Answer:<br \/>\n2 bags<\/p>\n<p>Explanation:<br \/>\nManuel\u2019s small dog eats a 2\/4 bag of dog food in 1 month. His large dog eats a 3\/4 bag of dog food in 1 month.<br \/>\nIn total 2\/4 + 3\/4 = 5\/4 bag of dog food eat in 1 month.<br \/>\nSo, for 6 months = 6 x 5\/4 = 30\/4 = 15\/2.<br \/>\nSo, 2 bags need for 6 months.<\/p>\n<p>Question 17.<br \/>\nSelect the correct product for the equation.<br \/>\n9 \u00d7 \\(\\frac{2}{12}\\) = \u25a1<br \/>\n3 \u00d7 \\(\\frac{6}{7}\\) = \u25a1<br \/>\n6 \u00d7 \\(\\frac{4}{7}\\) = \u25a1<br \/>\n8 \u00d7 \\(\\frac{3}{12}\\) = \u25a1<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n8 \u00d7 \\(\\frac{3}{12}\\) = 2<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 \\(\\frac{2}{12}\\) = 3\/2<br \/>\n3 \u00d7 \\(\\frac{6}{7}\\) = 18\/7<br \/>\n6 \u00d7 \\(\\frac{4}{7}\\) = 24\/7<br \/>\n8 \u00d7 \\(\\frac{3}{12}\\) = 2<\/p>\n<h3><a id=\"Multiply_a_Fraction_by_a_Whole_Number_Using_Models_Lesson_Check_1_-_Page_No._473\"><\/a>Common Core &#8211; New &#8211; Page No. 473<\/h3>\n<p><strong>Multiply a Fraction by a Whole Number Using Models<\/strong><\/p>\n<p><strong>Multiply.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-14.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 14\" width=\"246\" height=\"205\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-14.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 14\" width=\"246\" height=\"205\" \/><\/p>\n<p>Question 2.<br \/>\n3 \u00d7 \\(\\frac{2}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3187\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-473-300x281.jpg\" alt=\"Grade 4 Chapter 8 Image 1 473\" width=\"184\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-473-300x281.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-473.jpg 387w\" sizes=\"(max-width: 184px) 100vw, 184px\" \/><br \/>\n3 x 2\/5 = 6\/5<\/p>\n<p>Question 3.<br \/>\n7 \u00d7 \\(\\frac{3}{10}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3188\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-473-254x300.jpg\" alt=\"Grade 4 Chapter 8 Image 2 473\" width=\"149\" height=\"176\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-473-254x300.jpg 254w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-473.jpg 394w\" sizes=\"(max-width: 149px) 100vw, 149px\" \/><br \/>\n7 x 3\/10 = 21\/10<\/p>\n<p>Question 4.<br \/>\n3 \u00d7 \\(\\frac{5}{12}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3189\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-3-473-300x190.jpg\" alt=\"Grade 4 Chapter 8 Image 3 473\" width=\"189\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-3-473-300x190.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-3-473.jpg 339w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><br \/>\n3 x 5\/12 = 15\/12<\/p>\n<p>Question 5.<br \/>\n6 \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3190\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-4-473-300x201.jpg\" alt=\"Grade 4 Chapter 8 Image 4 473\" width=\"219\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-4-473-300x201.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-4-473.jpg 461w\" sizes=\"(max-width: 219px) 100vw, 219px\" \/><br \/>\n6 x 3\/4 = 18\/4<\/p>\n<p>Question 6.<br \/>\n4 \u00d7 \\(\\frac{2}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3191\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-5-473-300x177.jpg\" alt=\"Grade 4 Chapter 8 Image 5 473\" width=\"202\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-5-473-300x177.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-5-473.jpg 645w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><br \/>\n4 x 2\/8 = 8\/8<\/p>\n<p>Question 7.<br \/>\n5 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3193\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-6-473-247x300.jpg\" alt=\"Grade 4 Chapter 8 Image 6 473\" width=\"136\" height=\"166\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-6-473-247x300.jpg 247w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-6-473.jpg 282w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\n5 x 2\/3 = 10\/3<\/p>\n<p>Question 8.<br \/>\n2 \u00d7 \\(\\frac{7}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3194\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-7-473-300x156.jpg\" alt=\"Grade 4 Chapter 8 Image 7 473\" width=\"244\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-7-473-300x156.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-7-473.jpg 420w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><br \/>\n2 x 7\/8 = 14\/8<\/p>\n<p>Question 9.<br \/>\n6 \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3195\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-8-473-238x300.jpg\" alt=\"Grade 4 Chapter 8 Image 8 473\" width=\"152\" height=\"192\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-8-473-238x300.jpg 238w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-8-473.jpg 325w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\n6 x 4\/5 = 28\/5<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 10.<br \/>\nMatthew walks \\(\\frac{5}{8}\\) mile to the bus stop each morning. How far will he walk in 5 days?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n25\/8 miles<\/p>\n<p>Explanation:<br \/>\nMatthew walks 5\/8 mile to the bus stop each morning.<br \/>\nIn 5 days, 5 x 5\/8 = 25\/8 miles.<\/p>\n<p>Question 11.<br \/>\nEmily uses \\(\\frac{2}{3}\\) cup of milk to make one batch of muffins. How many cups of milk will Emily use if she makes 3 batches of muffins?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n6\/3 cups of milk<\/p>\n<p>Explanation:<br \/>\nEmily uses a 2\/3 cup of milk to make one batch of muffins.<br \/>\nEmily use 3 x 2\/3 = 6\/3 cups of milk to make 3 batches of muffins<\/p>\n<h3><a id=\"Multiply_a_Fraction_by_a_Whole_Number_Using_Models_Lesson_Check_2_-_Page_No._474\"><\/a>Common Core &#8211; New &#8211; Page No. 474<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nAleta\u2019s puppy gained \\(\\frac{3}{8}\\) pound each week for 4 weeks. Altogether, how much weight did the puppy gain during the 4 weeks?<br \/>\nOptions:<br \/>\na. \\(\\frac{8}{12}\\) pound<br \/>\nb. 1 \\(\\frac{2}{8}\\) pounds<br \/>\nc. \\(\\frac{12}{8}\\) pounds<br \/>\nd. 4 \\(\\frac{3}{8}\\) pounds<\/p>\n<p>Answer:<br \/>\n6\/3 cups of milk<\/p>\n<p>Explanation:<br \/>\nAleta\u2019s puppy gained 3\/8 pound each week.<br \/>\nIt gained 4 x 3\/8 = 12\/8 pounds in 4 weeks.<\/p>\n<p>Question 2.<br \/>\nPedro mixes \\(\\frac{3}{4}\\) teaspoon of plant food into each gallon of water. How many teaspoons of plant food should Pedro mix into 5 gallons of water?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{20}\\) teaspoon<br \/>\nb. \\(\\frac{4}{15}\\) teaspoon<br \/>\nc. \\(\\frac{8}{4}\\) teaspoons<br \/>\nd. \\(\\frac{15}{4}\\) teaspoons<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{15}{4}\\) teaspoons<\/p>\n<p>Explanation:<br \/>\nIf Pedro mixes 3\/4 teaspoon of plant food into each gallon of water, then 5 x 3\/4 = 15\/4 teaspoon of plant food mix into 5 gallons of water.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nIvana has \\(\\frac{3}{4}\\) pound of hamburger meat. She makes 3 hamburger patties. Each patty weighs the same amount. How much does each hamburger patty weigh?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\) pound<br \/>\nb. \\(\\frac{1}{3}\\) pound<br \/>\nc. 2 \\(\\frac{1}{4}\\) pounds<br \/>\nd. 3 pounds<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{1}{4}\\) pound<\/p>\n<p>Explanation:<br \/>\nIvana has 3\/4 pound of hamburger meat. She makes 3 hamburger patties.<br \/>\nEach patty weighs the same amount. So, each hamburger patty weight 1\/4 pound.<\/p>\n<p>Question 4.<br \/>\nWhich of the following expressions is NOT equal to \\(\\frac{7}{10}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{10}+\\frac{1}{10}+\\frac{1}{10}\\)<br \/>\nb. \\(\\frac{2}{10}+\\frac{2}{10}+\\frac{3}{10}\\)<br \/>\nc. \\(\\frac{3}{10}+\\frac{3}{10}+\\frac{2}{10}\\)<br \/>\nd. \\(\\frac{4}{10}+\\frac{2}{10}+\\frac{1}{10}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{3}{10}+\\frac{3}{10}+\\frac{2}{10}\\)<\/p>\n<p>Explanation:<br \/>\na. \\(\\frac{5}{10}+\\frac{1}{10}+\\frac{1}{10}\\) = 7\/10<br \/>\nb. \\(\\frac{2}{10}+\\frac{2}{10}+\\frac{3}{10}\\) = 7\/10<br \/>\nc. \\(\\frac{3}{10}+\\frac{3}{10}+\\frac{2}{10}\\) = 8\/10<br \/>\nd. \\(\\frac{4}{10}+\\frac{2}{10}+\\frac{1}{10}\\) = 7\/10<\/p>\n<p>Question 5.<br \/>\nLance wants to find the total length of 3 boards. He uses the expression 3 \\(\\frac{1}{2}\\) + (2 + 4 \\(\\frac{1}{2}\\)). How can Lance rewrite the expression using both the Associative and Commutative Properties of Addition?<br \/>\nOptions:<br \/>\na. 5 + 4 \\(\\frac{1}{2}\\)<br \/>\nb. (3 \\(\\frac{1}{2}\\) + 2) + 4 \\(\\frac{1}{2}\\)<br \/>\nc. 2 + (3 \\(\\frac{1}{2}\\) + 4 \\(\\frac{1}{2}\\))<br \/>\nd. 3 \\(\\frac{1}{2}\\) + (4 \\(\\frac{1}{2}\\) + 2)<\/p>\n<p>Answer:<br \/>\nShe can write as (3 \\(\\frac{1}{2}\\) + 2) + 4 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 6.<br \/>\nWhich of the following statements is true?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{8}&gt;\\frac{9}{10}\\)<br \/>\nb. \\(\\frac{5}{12}&gt;\\frac{1}{3}\\)<br \/>\nc. \\(\\frac{3}{6}&gt;\\frac{4}{5}\\)<br \/>\nd. \\(\\frac{1}{2}&gt;\\frac{3}{4}\\)<\/p>\n<p>Answer:<br \/>\n6\/3 cups of milk<\/p>\n<p>Explanation:<br \/>\n0.625 &gt; 0.9<br \/>\n0.416 &gt; 0.333<br \/>\n0.5 &gt; 0.8<br \/>\n0.5 &gt; 0.75<\/p>\n<h3><a id=\"Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_-_Page_No._477\"><\/a>Page No. 477<\/h3>\n<p>Question 1.<br \/>\n2 \u00d7 3 \\(\\frac{2}{3}\\) = \u25a1<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n7\\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n3 \\(\\frac{2}{3}\\) = 11\/3<br \/>\n2 x 11\/3 = 22\/3<br \/>\n22\/3 = 7 and remainder 1. So, 22\/3 = 7 (1\/3)<\/p>\n<p><strong>Multiply. Write the product as a mixed number.<\/strong><\/p>\n<p>Question 2.<br \/>\n6 \u00d7 \\(\\frac{2}{5}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 \\(\\frac{2}{5}\\) = 12\/5. 12\/5 = 2 and remainder . So, 12\/5 = 2 2\/5<\/p>\n<p>Question 3.<br \/>\n3 \u00d7 2 \\(\\frac{3}{4}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n8\\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{3}{4}\\) = 11\/4<br \/>\n3 x 11\/4 = 33\/4. 33\/4 = 8 and remainder 1. So, 33\/4 = 8 1\/4<\/p>\n<p>Question 4.<br \/>\n4 \u00d7 1 \\(\\frac{5}{6}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n7 \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{5}{6}\\) = 11\/6<br \/>\n4 x 11\/6 = 44\/6. 44\/6 = 7 and remainder 2. So, 44\/6 = 7 2\/6<\/p>\n<p>Question 5.<br \/>\n4 \u00d7 \\(\\frac{5}{8}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 \\(\\frac{5}{8}\\) = 5\/2. 5\/2 = 2 and remainder 1. So, 5\/2 = 2 1\/2<\/p>\n<p>Question 6.<br \/>\n6 \u00d7 \\(\\frac{5}{12}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 \\(\\frac{5}{12}\\) = 5\/2. 5\/2 = 2 and remainder 1. So, 5\/2 = 2 1\/2<\/p>\n<p>Question 7.<br \/>\n3 \u00d7 3 \\(\\frac{1}{2}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n10 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n3 \\(\\frac{1}{2}\\) = 7\/2<br \/>\n3 x 7\/2 = 21\/2. 21\/2 = 10 and remainder 1. So, 21\/2 = 10 1\/2<\/p>\n<p>Question 8.<br \/>\n2 \u00d7 2 \\(\\frac{2}{3}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n5\\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{2}{3}\\) = 8\/3<br \/>\n2 x 8\/3 = 16\/3. 16\/3 = 5 and remainder 1. So, 16\/3 = 5 1\/3<\/p>\n<p>Question 9.<br \/>\n5 \u00d7 1 \\(\\frac{2}{4}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n7 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{2}{4}\\) = 6\/4<br \/>\n5 x 6\/4 = 30\/4 = 15\/2. 15\/2 = 7 and remainder 1. So, 15\/2 = 7 1\/2<\/p>\n<p>Question 10.<br \/>\n4 \u00d7 2 \\(\\frac{2}{5}\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n9\\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{2}{5}\\) = 12\/5<br \/>\n4 x 12\/5 = 48\/5. 48\/5 = 9 and remainder 3. So, 48\/5 = 9 3\/5<\/p>\n<p><strong>Look for a Pattern Algebra Write the unknown number.<\/strong><\/p>\n<p>Question 11.<br \/>\n\u25a1 \u00d7 2 \\(\\frac{1}{3}\\) = 9 \\(\\frac{1}{3}\\)<br \/>\n\u25a1 = ______<\/p>\n<p>Answer:<br \/>\n4<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{1}{3}\\) = 7\/3<br \/>\n9 \\(\\frac{1}{3}\\) = 28\/3<br \/>\nLet the unknown numer s.<br \/>\ns x 7\/3 = 28\/3<br \/>\ns = 4<\/p>\n<p>Question 12.<br \/>\n3 \u00d7 2 \\(\\frac{2}{\u25a1}\\) = 7 \\(\\frac{2}{4}\\)<br \/>\n\u25a1 = ______<\/p>\n<p>Answer:<br \/>\n4<\/p>\n<p>Explanation:<br \/>\n7 \\(\\frac{2}{4}\\) = 30\/4<br \/>\nLet the unknown number s. If s is 4, 3 \u00d7 2 \\(\\frac{2}{4}\\) = 3 x 10\/4 = 30\/4.<br \/>\nSo, the unknown number is 4.<\/p>\n<p>Question 13.<br \/>\n3 \u00d7 \u25a1 \\(\\frac{3}{8}\\) = 4 \\(\\frac{1}{8}\\)<br \/>\n\u25a1 = ______<\/p>\n<p>Answer:<br \/>\n1<\/p>\n<p>Explanation:<br \/>\n4 \\(\\frac{1}{8}\\) = 33\/8<br \/>\nLet the unknown number is s. If s is 1, 3 \u00d7 1 \\(\\frac{3}{8}\\) = 3 x 11\/8 = 33\/8.<\/p>\n<p>Question 14.<br \/>\nDescribe two different ways to write \\(\\frac{7}{3}\\) as a mixed number.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nOne is 2\\(\\frac{1}{3}\\)<br \/>\nAnother one is 2 + 1\/3<\/p>\n<p>Explanation:<br \/>\n7\/3 = 2 and the remainder is 1. So, 2 1\/3 is one mixed fraction.<br \/>\nSeond method is 3\/3 + 3\/3 + 1\/3 = 2 + 1\/3.<\/p>\n<h3><a id=\"Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_Lesson_Check_-_Page_No._478\"><\/a>Page No. 478<\/h3>\n<p><strong>Use the recipe for 15\u201318.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-15.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 15\" width=\"280\" height=\"716\" \/><\/p>\n<p>Question 15.<br \/>\nOtis plans to make 3 batches of sidewalk chalk. How much plaster of Paris does he need?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) cups plaster of Paris<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{1}{2}\\) cups plaster of Paris<\/p>\n<p>Explanation:<br \/>\n1\\(\\frac{1}{2}\\) = 3\/2 + 3\/2 + 3\/2 = 9\/2<br \/>\n9\/2 = 4, the remainder is 1. So, 4 1\/2 cups plaster of Paris need for 3 batches of sidewalk chalk.<\/p>\n<p>Question 16.<br \/>\nWhat\u2019s the Question? The answer is \\(\\frac{32}{3}\\).<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nHow many tablespoons of powdered paint are needed for 4 batches of chalk?<\/p>\n<p>Question 17.<br \/>\nPatty has 2 cups of warm water. Is that enough water to make 4 batches of sidewalk chalk? Explain how you know without finding the exact product.<br \/>\n______<\/p>\n<p>Answer:<br \/>\nNo. 4 x 1\/2 = 2 and also 3\/4 is greater than 1\/2. So, 4 x 3\/4 is greater than 2.<\/p>\n<p>Question 18.<br \/>\nRita makes sidewalk chalk 2 days a week. Each of those days, she spends 1 \\(\\frac{1}{4}\\) hours making the chalk. How much time does Rita spend making sidewalk chalk in 3 weeks?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) hours<\/p>\n<p>Answer:<br \/>\n7\\(\\frac{1}{2}\\) hours<\/p>\n<p>Explanation:<br \/>\nRita makes sidewalk chalk 2 days a week. Each of those days, she spends 1 1\/4 hours making the chalk.<br \/>\n1 week = 2 x 5\/4 = 10\/4 = 5\/2.<br \/>\n3 weeks = 3 x 5\/2 = 15\/2 = 7 1\/2.<\/p>\n<p>Question 19.<br \/>\nOliver has music lessons Monday, Wednesday, and Friday. Each lesson is \\(\\frac{3}{4}\\) of an hour. Oliver says he will have lessons for 3 \\(\\frac{1}{2}\\) hours this week. Without multiplying, explain how you know Oliver is incorrect.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3\/4 is less than 1, and 1 \u00d7 3 = 3. So 3\/4 \u00d7 3 will also be less than 3.<br \/>\nOliver&#8217;s answer, 3 1\/2 is greater than 3, so it is incorrect.<\/p>\n<h3><a id=\"Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_Lesson_Check_1_-_Page_No._479\"><\/a>Common Core &#8211; New &#8211; Page No. 479<\/h3>\n<p><strong>Multiply a Fraction or Mixed Number by a Whole Number.<\/strong><\/p>\n<p><strong>Multiply. Write the product as a mixed number.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-16.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 16\" width=\"199\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\n1\\(\\frac{5}{10}\\)<\/p>\n<p>Explanation:<br \/>\n5 x 3\/10 = 15\/10 = 1 and remainder is 5. So, the mixed fraction is 1 5\/10<\/p>\n<p>Question 2.<br \/>\n3 \u00d7 \\(\\frac{3}{5}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\n3 x 3\/5 = 9\/5 = 1 and remainder is 4. So, the mixed fraction is 1 4\/5<\/p>\n<p>Question 3.<br \/>\n5 \u00d7 \\(\\frac{3}{4}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n3\\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n15\/4 = 3 and remainder is 3. So, the mixed fraction is 3 3\/4<\/p>\n<p>Question 4.<br \/>\n4 \u00d7 1 \\(\\frac{1}{5}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{1}{5}\\) = 6\/5.<br \/>\n4 x 6\/5 = 24\/5 = 4 and the remainder is 4. So, the mixed fraction is 4 4\/5<\/p>\n<p>Question 5.<br \/>\n2 \u00d7 2 \\(\\frac{1}{3}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{1}{3}\\) = 7\/3.<br \/>\n2 x 7\/3 = 14\/3.<br \/>\n14\/3 = 4 and the remainder is 2. So, the mixed fraction is 4 2\/3<\/p>\n<p>Question 6.<br \/>\n5 \u00d7 1 \\(\\frac{1}{6}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n5\\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{1}{6}\\) = 7\/6<br \/>\n5 x 7\/6 = 35\/6.<br \/>\n35\/6 = 5 and the remainder is 5. So, the mixed fraction is 5 5\/6<\/p>\n<p>Question 7.<br \/>\n2 \u00d7 2 \\(\\frac{7}{8}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n6\\(\\frac{1}{1}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{7}{8}\\) = 23\/8<br \/>\n2 x 23\/8 = 46\/8 = 6 1\/1<\/p>\n<p>Question 8.<br \/>\n7 \u00d7 1 \\(\\frac{3}{4}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n9\\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{3}{4}\\) = 7\/4<br \/>\n7 x 7\/4 = 39\/4<br \/>\n39\/4 = 9 and the remainder is 3. So, the mixed fraction is 9 3\/4<\/p>\n<p>Question 9.<br \/>\n8 \u00d7 1 \\(\\frac{3}{5}\\) =<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n12\\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{3}{5}\\) = 8\/5<br \/>\n8 x 8\/5 = 64\/5<br \/>\n64\/5 = 12 and the remainder is 4. So, the mixed fraction is 12 4\/5<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 10.<br \/>\nBrielle exercises for \\(\\frac{3}{4}\\) hour each day for 6 days in a row. Altogether, how many hours does she exercise during the 6 days?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<br \/>\n6 x 3\/4 = 18\/4 = 4 and the remainder is 2. So, the mixed fraction is 4 2\/4.<\/p>\n<p>Question 11.<br \/>\nA recipe for quinoa calls for 2 \\(\\frac{2}{3}\\) cups of milk. Conner wants to make 4 batches of quinoa. How much milk does he need?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n10\\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nquinoa calls for 8\/3 cups of milk. Conner wants to make 4 batches of quinoa.<br \/>\nSo, 4 x 8\/3 = 32\/3 = 10 and the remainder is 2. So, the mixed fraction is 10 2\/3<\/p>\n<h3><a id=\"Multiply_a_Fraction_or_Mixed_Number_by_a_Whole_Number_Lesson_Check_2-_Page_No._480\"><\/a>Common Core &#8211; New &#8211; Page No. 480<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nA mother is 1 \\(\\frac{3}{4}\\) times as tall as her son. Her son is 3 feet tall. How tall is the mother?<br \/>\nOptions:<br \/>\na. 4 \\(\\frac{3}{4}\\) feet<br \/>\nb. 5 \\(\\frac{1}{4}\\) feet<br \/>\nc. 5 \\(\\frac{1}{2}\\) feet<br \/>\nd. 5 \\(\\frac{3}{4}\\) feet<\/p>\n<p>Answer:<br \/>\nb. 5 \\(\\frac{1}{4}\\) feet<\/p>\n<p>Explanation:<br \/>\nA mother is 1 3\/4 times as tall as her son. Her son is 3 feet tall.<br \/>\nSo, 3 x 7\/4 = 21\/4 = 5 and the remainder is 1. The mixed fraction is 5 1\/4 feet.<\/p>\n<p>Question 2.<br \/>\nThe cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 \\(\\frac{1}{3}\\) times the width of the banner. How long is the banner?<br \/>\nOptions:<br \/>\na. 8 \\(\\frac{1}{3}\\) feet<br \/>\nb. 8 \\(\\frac{3}{8}\\) feet<br \/>\nc. 10 \\(\\frac{1}{3}\\) feet<br \/>\nd. 10 \\(\\frac{2}{3}\\) feet<\/p>\n<p>Answer:<br \/>\nd. 10 \\(\\frac{2}{3}\\) feet<\/p>\n<p>Explanation:<br \/>\nThe cheerleaders are making a banner that is 8 feet wide. he length of the banner is 1 1\/3 times the width of the banner.<br \/>\nSo, 8 x 4\/3 = 32\/3 =10 and the remainder is 2. The mixed fraction is 10 2\/3 feet.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nKarleigh walks \\(\\frac{5}{8}\\) mile to school every day. How far does she walk to school in 5 days?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{40}\\) mile<br \/>\nb. \\(\\frac{25}{40}\\) mile<br \/>\nc. \\(\\frac{10}{8}\\) miles<br \/>\nd. \\(\\frac{25}{8}\\) miles<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{25}{8}\\) miles<\/p>\n<p>Explanation:<br \/>\n5 x 5\/8 = 25\/8.<\/p>\n<p>Question 4.<br \/>\nWhich number is a multiple of \\(\\frac{4}{5}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{8}{10}\\)<br \/>\nb. \\(\\frac{12}{15}\\)<br \/>\nc. \\(\\frac{16}{20}\\)<br \/>\nd. \\(\\frac{12}{5}\\)<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{12}{5}\\)<\/p>\n<p>Explanation:<br \/>\nThe multiple of \\(\\frac{4}{5}\\) has the denominator 5. So, \\(\\frac{12}{5}\\) is the correct answer.<\/p>\n<p>Question 5.<br \/>\nJo cut a key lime pie into 8 equal-size slices. The next day, \\(\\frac{7}{8}\\) of the pie is left. Jo puts each slice on its own plate. How many plates does she need?<br \/>\nOptions:<br \/>\na. 5<br \/>\nb. 6<br \/>\nc. 7<br \/>\nd. 8<\/p>\n<p>Answer:<br \/>\nc. 7<\/p>\n<p>Explanation:<br \/>\nJo cut a key lime pie into 8 equal-size slices. The next day, \\(\\frac{7}{8}\\) of the pie is left. Jo puts each slice on its own plate. She needs 7 plates.<\/p>\n<p>Question 6.<br \/>\nOver the weekend, Ed spent 1 \\(\\frac{1}{4}\\) hours doing his math homework and 1 \\(\\frac{3}{4}\\) hours doing his science project. Altogether, how much time did Ed spend doing homework over the weekend?<br \/>\nOptions:<br \/>\na. 3 hours<br \/>\nb. 2 \\(\\frac{3}{4}\\) hours<br \/>\nc. 2 \\(\\frac{1}{2}\\) hours<br \/>\nd. 2 hours<\/p>\n<p>Answer:<br \/>\na. 3 hours<\/p>\n<p>Explanation:<br \/>\n5\/4 + 7\/4 = 12\/4 = 3 hours<\/p>\n<h3><a id=\"Comparison_Problems_with_Fractions_-_Page_No._483\"><\/a>Page No. 483<\/h3>\n<p>Question 1.<br \/>\nKomodo dragons are the heaviest lizards on Earth. A baby Komodo dragon is 1 \\(\\frac{1}{4}\\) feet long when it hatches. Its mother is 6 times as long. How long is the mother?<br \/>\nFirst, draw a bar model to show the problem.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3092\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-483-300x170.jpg\" alt=\"Grade 4 Chapter 8 Image 1 483\" width=\"247\" height=\"140\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-483-300x170.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-483.jpg 497w\" sizes=\"(max-width: 247px) 100vw, 247px\" \/><\/p>\n<p>Question 1.<br \/>\nThen, write the equation you need to solve.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nA baby Komodo dragon is 5\/4 feet.<br \/>\nHer mother is 6 x 5\/4 = 30\/4 feet long.<\/p>\n<p>Question 1.<br \/>\nFinally, find the length of the mother Komodo dragon.<br \/>\nThe mother Komodo dragon is _____ feet long.<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n7\\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<br \/>\n30\/4 = 7 and the remainder is 2. The mixed fraction is 7 2\/4 feet.<\/p>\n<p>Question 2.<br \/>\nWhat if a male Komodo dragon is 7 times as long as the baby Komodo dragon? How long is the male? How much longer is the male than the mother?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) feet long<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) feet longer<\/p>\n<p>Answer:<br \/>\n35\/4 feet long<br \/>\n5\/4 feet longer<\/p>\n<p>Explanation:<br \/>\nIf a male Komodo dragon is 7 times as long as the baby Komodo dragon, then 7 x 5\/4 = 35\/4.<br \/>\n35\/4 &#8211; 30\/4 = 5\/4 feet male Komodo dragon is grater than female Komodo dragon.<\/p>\n<p>Question 3.<br \/>\nThe smallest hummingbird is the Bee hummingbird. It has a mass of about 1 \\(\\frac{1}{2}\\) grams. A Rufous hummingbird\u2019s mass is 3 times the mass of the Bee hummingbird. What is the mass of a Rufous hummingbird?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) grams<\/p>\n<p>Answer:<br \/>\n9\/2 grams<\/p>\n<p>Explanation:<\/p>\n<p>The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 \\(\\frac{1}{2}\\) grams. A Rufous hummingbird\u2019s mass is 3 times the mass of the Bee hummingbird.<br \/>\n3 x 3\/2 = 9\/2 grams.<\/p>\n<p>Question 4.<br \/>\nSloane needs \\(\\frac{3}{4}\\) hour to drive to her grandmother\u2019s house. It takes her 5 times as long to drive to her cousin\u2019s house. How long does it take to drive to her cousin\u2019s house?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) hours<\/p>\n<p>Answer:<br \/>\n\\(\\frac{15}{4}\\) hours<\/p>\n<p>Explanation:<br \/>\n5 x 3\/4 = 15\/4<br \/>\nTo drive to her cousin\u2019s house, it takes 15\/4 hours.<\/p>\n<h3><a id=\"Comparison_Problems_with_Fractions_Lesson_Check_-_Page_No._484\"><\/a>Page No. 484<\/h3>\n<p><strong>Use the table for 5 and 6.<\/strong><\/p>\n<p>Payton has a variety of flowers in her garden. The table shows the average heights of the flowers.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-17.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 17\" width=\"330\" height=\"187\" \/><\/p>\n<p>tulip = 5\/4 = 1.25<br \/>\ndaisy = 5\/2 = 2.5<br \/>\ntiger lily = 10\/3 = 3.33<br \/>\nsunflower = 31\/4 = 7.75<\/p>\n<p>Question 5.<br \/>\nMake Sense of Problems What is the difference between the height of the tallest flower and the height of the shortest flower in Payton\u2019s garden?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) feet<\/p>\n<p>Answer:<br \/>\n6\\(\\frac{2}{4}\\) feet<\/p>\n<p>Explanation:<br \/>\ntallest flower = sunflower<br \/>\nshortest flower = tulip<br \/>\nDifference between the tallest flower and shortest flower = 31\/4 &#8211; 5\/4 = 26\/4 =6 and the remainder is 2. So, the mixed fraction is 6 2\/4 feet.<\/p>\n<p>Question 6.<br \/>\nPayton says her average sunflower is 7 times the height of her average tulip. Do you agree or disagree with her statement? Explain your reasoning.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nI will disagree with her statement. Tulip = 5\/4. 7 x 5\/4 = 35\/4. 31\/4 is smaller than 35\/4. Som the statement is not correct.<\/p>\n<p>Question 7.<br \/>\nMiguel ran 1 \\(\\frac{3}{10}\\) miles on Monday. On Friday, Miguel ran 3 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) miles<\/p>\n<p>Answer:<br \/>\n3\\(\\frac{9}{10}\\) miles<\/p>\n<p>Explanation:<br \/>\nMiguel ran 13\/10 miles on Monday.<br \/>\nOn Friday, 3 x 13\/10 = 39\/10 miles = 3 and the remainder is 9. the mixed fraction is 3 9\/10 miles<\/p>\n<p>Question 8.<br \/>\nThe table shows the lengths of different types of turtles at a zoo.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-18.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 18\" width=\"382\" height=\"133\" \/><br \/>\nFor numbers 8a\u20138d, select True or False for each statement.<br \/>\na. Daisy is 4 times as long as Tuck.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\nTuck = 7\/6<br \/>\nLolly = 35\/6<br \/>\nDaisy = 7\/2<br \/>\n7\/6 x 4 = 28\/6.<br \/>\nSo, the statement is false.<\/p>\n<p>Question 8.<br \/>\nb. Lolly is 5 times as long as Tuck.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n5 x 7\/6 = 35\/6.<br \/>\nSo, the statement is true.<\/p>\n<p>Question 8.<br \/>\nc. Daisy is 3 times as long as Tuck.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n3 x 7\/6 = 21\/6 = 7\/2<br \/>\nSo, the statement is true.<\/p>\n<p>Question 8.<br \/>\nd. Lolly is 2 times as long as Daisy.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n2 x 7\/2 = 7.<br \/>\nSo, the statement is false.<\/p>\n<h3><a id=\"Comparison_Problems_with_Fractions_Lesson_Check_1_-_Page_No._485\"><\/a>Common Core &#8211; New &#8211; Page No. 485<\/h3>\n<p><strong>Problem Solving Comparison<\/strong><\/p>\n<p><strong>Problems with Fractions<\/strong><\/p>\n<p><strong>Read each problem and solve.<\/strong><\/p>\n<p>Question 1.<br \/>\nA shrub is 1 \\(\\frac{2}{3}\\) feet tall. A small tree is 3 times as tall as the shrub. How tall is the tree?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-19.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 19\" width=\"781\" height=\"219\" \/><\/p>\n<p>Answer:<br \/>\n5 feet<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-19.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Common Core - New img 19\" width=\"781\" height=\"219\" \/><\/p>\n<p>Question 2.<br \/>\nYou run 1 \\(\\frac{3}{4}\\) miles each day. Your friend runs 4 times as far as you do. How far does your friend run each day?<br \/>\n__________ miles<\/p>\n<p>Answer:<br \/>\n7 miles<\/p>\n<p>Explanation:<br \/>\n4 x 7\/4 = 7 miles each day<\/p>\n<p>Question 3.<br \/>\nAt the grocery store, Ayla buys 1 \\(\\frac{1}{3}\\) pounds of ground turkey. Tasha buys 2 times as much ground turkey as Ayla. How much ground turkey does Tasha buy?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) pounds<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{2}{3}\\) pounds<\/p>\n<p>Explanation:<br \/>\n2 x 4\/3 = 8\/3 = 2 and the remainder is 2. The mixed fraction is 2 2\/3 pounds<\/p>\n<p>Question 4.<br \/>\nWhen Nathan\u2019s mother drives him to school, it takes \\(\\frac{1}{5}\\) hour. When Nathan walks to school, it takes him 4 times as long to get to school. How long does it take Nathan to walk to school?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) hours<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{5}\\) hours<\/p>\n<p>Explanation:<br \/>\n4 x 1\/5 = 4\/5 hour<\/p>\n<h3><a id=\"Comparison_Problems_with_Fractions_Lesson_Check_2_-_Page_No._486\"><\/a>Common Core &#8211; New &#8211; Page No. 486<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nA Wilson\u2019s Storm Petrel is a small bird with a wingspan of 1 \\(\\frac{1}{3}\\) feet. A California Condor is a larger bird with a wingspan almost 7 times as wide as the wingspan of the petrel. About how wide is the wingspan of the California Condor?<br \/>\nOptions:<br \/>\na. \\(\\frac{4}{21}\\) foot<br \/>\nb. 2 \\(\\frac{1}{3}\\) feet<br \/>\nc. 7 \\(\\frac{1}{3}\\) feet<br \/>\nd. 9 \\(\\frac{1}{3}\\) feet<\/p>\n<p>Answer:<br \/>\nd. 9 \\(\\frac{1}{3}\\) feet<\/p>\n<p>Explanation:<br \/>\n1 1\/3 = 4\/3.<br \/>\n7 x 4\/3 = 28\/3 feet = 9 and the remainder is 1. The mixed fraction is 9 1\/3<\/p>\n<p>Question 2.<br \/>\nThe walking distance from the Empire State Building in New York City to Times Square is about \\(\\frac{9}{10}\\) mile. The walking distance from the Empire State Building to Sue\u2019s hotel is about 8 times as far. About how far is Sue\u2019s hotel from the Empire State Building?<br \/>\nOptions:<br \/>\na. \\(\\frac{9}{80}\\) mile<br \/>\nb. \\(\\frac{72}{80}\\) mile<br \/>\nc. 1 \\(\\frac{7}{10}\\) miles<br \/>\nd. 7 \\(\\frac{2}{10}\\) miles<\/p>\n<p>Answer:<br \/>\nd. 7 \\(\\frac{2}{10}\\) miles<\/p>\n<p>Explanation:<br \/>\n8 x 9\/10 mile = 72\/10 mile = 7 and the remainder is 2. The mixed fraction is 7 2\/10 miles.<\/p>\n<p><strong><em>Spiral Review<\/em><\/strong><\/p>\n<p>Question 3.<br \/>\nWhich of the following expressions is NOT equal to 3 \u00d7 2 \\(\\frac{1}{4}\\)?<br \/>\nOptions:<br \/>\na. 3 \u00d7 \\(\\frac{9}{4}\\)<br \/>\nb. (3 \u00d7 2) + (3 \u00d7 \\(\\frac{1}{4}\\))<br \/>\nc. 6 \\(\\frac{3}{4}\\)<br \/>\nd. 3 \u00d7 2 + \\(\\frac{1}{4}\\)<\/p>\n<p>Answer:<br \/>\nd. 3 \u00d7 2 + \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 2 \\(\\frac{1}{4}\\) = 3 x 9\/4 = 27\/4<br \/>\na. 3 \u00d7 \\(\\frac{9}{4}\\) = 27\/4<br \/>\nb. (3 \u00d7 2) + (3 \u00d7 \\(\\frac{1}{4}\\)) = 6 + 3\/4 = 27\/4<br \/>\nc. 6 \\(\\frac{3}{4}\\) = 27\/4<br \/>\nd. 3 \u00d7 2 + \\(\\frac{1}{4}\\) = 6 + 1\/4 = 25\/4<\/p>\n<p>Question 4.<br \/>\nAt a bake sale, Ron sells \\(\\frac{7}{8}\\) of an apple pie and \\(\\frac{5}{8}\\) of a cherry pie. Altogether, how much pie does he sell at the bake sale?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{8}\\)<br \/>\nb. \\(\\frac{12}{16}\\)<br \/>\nc. \\(\\frac{12}{8}\\)<br \/>\nd. \\(\\frac{35}{8}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{12}{8}\\)<\/p>\n<p>Explanation:<br \/>\n7\/8 + 5\/8 = 12\/8<br \/>\nThe bake sale 12\/8 pie.<\/p>\n<p>Question 5.<br \/>\nOn a ruler, which measurement is between \\(\\frac{3}{16}\\) inch and \\(\\frac{7}{8}\\) inch?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{16}\\) inch<br \/>\nb. \\(\\frac{1}{8}\\) inch<br \/>\nc. \\(\\frac{11}{16}\\) inch<br \/>\nd. \\(\\frac{15}{16}\\) inch<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{11}{16}\\) inch<\/p>\n<p>Question 6.<br \/>\nWhich of the following numbers is composite?<br \/>\nOptions:<br \/>\na. 4<br \/>\nb. 3<br \/>\nc. 2<br \/>\nd. 1<\/p>\n<p>Answer:<br \/>\na. 4<\/p>\n<p>Explanation:<br \/>\n4 has more than 2 factors.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._487\"><\/a>Page No. 487<\/h3>\n<p>Question 1.<br \/>\nWhat are the next four multiples of \\(\\frac{1}{8}\\)?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n2\/8, 3\/8, 4\/8, 5\/8<\/p>\n<p>Explanation:<br \/>\n1 x 1\/8 = 1\/8.<br \/>\n2 x 1\/8 = 2\/8.<br \/>\n3 x 1\/8 = 3\/8.<br \/>\n4 x 1\/8 = 4\/8.<br \/>\n5 x 1\/8 = 5\/8.<br \/>\nNext four multiples of 1\/8 are 2\/8, 3\/8, 4\/8, 5\/8.<\/p>\n<p>Question 2.<br \/>\nMarta is making 3 servings of fruit salad. She adds \\(\\frac{3}{8}\\) cup blueberries for each serving. Her measuring cup holds \\(\\frac{1}{8}\\) cup. How many times must Marta measure \\(\\frac{1}{8}\\) cup of blueberries to have enough for the fruit salad? Shade the models to show your answer.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-20.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 20\" width=\"269\" height=\"158\" \/><br \/>\nMarta must measure \\(\\frac{1}{8}\\) _________ cup times.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3105\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-487-300x183.jpg\" alt=\"Grade 4 Chapter 8 Image 1 487\" width=\"300\" height=\"183\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-487-300x183.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-487.jpg 628w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Marta must measure \\(\\frac{1}{8}\\) 9 cup times.<\/p>\n<p>Question 3.<br \/>\nMickey exercises \\(\\frac{3}{4}\\) hour every day. How many hours does he exercise in 8 days?<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n6 hours<\/p>\n<p>Explanation:<br \/>\n8 x 3\/4 = 24\/4 = 6<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._488\"><\/a>Page No. 488<\/h3>\n<p>Question 4.<br \/>\nMolly is baking for the Moms and Muffins event at her school. She will bake 4 batches of banana muffins. She needs 1 \\(\\frac{3}{4}\\) cups of bananas for each batch of muffins.<br \/>\nPart A<br \/>\nMolly completed the multiplication below and said she needed 8 cups of bananas for 4 batches of muffins. What is Molly\u2019s error?<br \/>\n\\(4 \\times 1 \\frac{3}{4}=4 \\times \\frac{8}{4}=\\times \\frac{32}{4}=8\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n4 x 1 3\/4 = 4 x 8\/4 = 8<br \/>\nMolly did not write the mixed number, 1 3\/4 as a fraction correctly. 1 3\/4 is not equal to 8\/4.<\/p>\n<p>Question 4.<br \/>\nPart B<br \/>\nWhat is the correct number of cups Molly needs for 4 batches of muffins? Explain how you found your answer.<br \/>\n_____ cups<\/p>\n<p>Answer:<br \/>\n7 cups<\/p>\n<p>Explanation:<br \/>\nShe will bake 4 batches of banana muffins. She needs 7\/4 cups of bananas for each batch of muffins.<br \/>\nSo, if she prepares 4 batches of muffins = 4 x 7\/4 = 7 cups of banana.<\/p>\n<p>Question 5.<br \/>\nWhich fraction is a multiple of \\(\\frac{1}{9}\\)? Mark all that apply.<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{9}\\)<br \/>\nb. \\(\\frac{9}{12}\\)<br \/>\nc. \\(\\frac{2}{9}\\)<br \/>\nd. \\(\\frac{4}{9}\\)<br \/>\ne. \\(\\frac{9}{10}\\)<br \/>\nf. \\(\\frac{9}{9}\\)<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{3}{9}\\)<br \/>\nc. \\(\\frac{2}{9}\\)<br \/>\nd. \\(\\frac{4}{9}\\)<br \/>\nf. \\(\\frac{9}{9}\\)<\/p>\n<p>Explanation:<br \/>\nThe multiples of \\(\\frac{1}{9}\\) have the denominator of 9.<\/p>\n<p>Question 6.<br \/>\nMimi recorded a soccer game that lasted 1 \\(\\frac{2}{3}\\) hours. She watched it 3 times over the weekend to study the plays. How many hours did Mimi spend watching the soccer game? Show your work.<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n5 hours<\/p>\n<p>Explanation:<br \/>\n3 x 1 2\/3 = 3 x 5\/3 = 5 hours.<\/p>\n<p>Question 7.<br \/>\nTheo is comparing shark lengths. He learned that a horn shark is 2 \\(\\frac{3}{4}\\) feet long. A blue shark is 4 times as long. Complete the model. Then find the length of a blue shark.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-21.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 21\" width=\"335\" height=\"115\" \/><br \/>\nA blue shark is ____ feet long.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3106\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-487-300x109.jpg\" alt=\"Grade 4 Chapter 8 Image 2 487\" width=\"300\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-487-300x109.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-487.jpg 397w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n4 x 11\/4 = 11.<br \/>\nA blue shark is 11 feet long.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._489\"><\/a>Page No. 489<\/h3>\n<p>Question 8.<br \/>\nJoel made a number line showing the multiples of \\(\\frac{3}{5}\\).<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-22.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 22\" width=\"341\" height=\"87\" \/><br \/>\nThe product 2 \u00d7 \\(\\frac{3}{5}\\) is shown by the fraction _________ on the number line.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\nThe product 2 \u00d7 \\(\\frac{3}{5}\\) is shown by the fraction \\(\\frac{6}{5}\\) on the number line.<\/p>\n<p>Question 9.<br \/>\nBobby has baseball practice Monday, Wednesday, and Friday. Each practice is 2 \\(\\frac{1}{2}\\) hours. Bobby says he will have practice for 4 hours this week.<br \/>\nPart A<br \/>\nWithout multiplying, explain how you know Bobby is incorrect.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nBobby needs to find 3 \u00d7 2 1\/2. If he estimates 3 \u00d7 2 hours, then he finds the practice is at least 6 hours. 6 is greater than 4, so Bobby&#8217;s answer is incorrect.<\/p>\n<p>Question 9.<br \/>\nPart B<br \/>\nHow long will Bobby have baseball practice this week? Write your answer as a mixed number. Show your work.<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) hours<\/p>\n<p>Answer:<br \/>\n7\\(\\frac{1}{2}\\) hours<\/p>\n<p>Explanation:<br \/>\n3 x 2 1\/2 = 3 x 5\/2 = 15\/2 = 7 1\/2<\/p>\n<p>Question 10.<br \/>\nLook at the number line. Write the missing fractions.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-23.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 23\" width=\"371\" height=\"110\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n9\/6, 10\/6, 11\/6, 12\/6<\/p>\n<p>Question 11.<br \/>\nAna\u2019s dachshund weighed 5 \\(\\frac{5}{8}\\) pounds when it was born. By age 4, the dog weighed 6 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Ana\u2019s dog at age 4. Not all numbers and symbols may be used.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-24.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 24\" width=\"197\" height=\"112\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-25.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 25\" width=\"325\" height=\"57\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3108\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-489-300x70.jpg\" alt=\"Grade 4 Chapter 8 Image 1 489\" width=\"300\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-489-300x70.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-489.jpg 375w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Review\/Test_-_Page_No._490\"><\/a>Page No. 490<\/h3>\n<p>Question 12.<br \/>\nAsta made a fraction number line to help her find 3 \u00d7 \\(\\frac{4}{5}\\).<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-26.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 26\" width=\"363\" height=\"89\" \/><br \/>\nSelect a way to write 3 \u00d7 \\(\\frac{4}{5}\\) as the product of a whole number and a unit fraction.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-27.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 27\" width=\"162\" height=\"130\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-3110\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-490.jpg\" alt=\"Grade 4 Chapter 8 Image 1 490\" width=\"190\" height=\"151\" \/><br \/>\n12 \u00d7 \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\n3 x 4\/5 = 12\/5 = 12 x 1\/5.<\/p>\n<p>Question 13.<br \/>\nYusif wanted to give \\(\\frac{1}{3}\\) of his total toy car collection to 2 of his friends. How many of his toy cars will he give away?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nYusif wanted to give \\(\\frac{1}{3}\\) of his total toy car collection to 2 of his friends. He has three toy cars in total. He has given 2 cars out of 3 cars. So, the answer is \\(\\frac{2}{3}\\).<\/p>\n<p>Question 14.<br \/>\nSelect the correct product for the equation.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-28.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 28\" width=\"423\" height=\"88\" \/><br \/>\n4 \u00d7 \\(\\frac{5}{8}\\) = \u25a1 4 \u00d7 \\(\\frac{4}{8}\\) = \u25a1<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n4 \u00d7 \\(\\frac{5}{8}\\) = \\(\\frac{20}{8}\\)<br \/>\n4 \u00d7 \\(\\frac{4}{8}\\) = \\(\\frac{16}{8}\\)<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._491\"><\/a>Page No. 491<\/h3>\n<p>Question 15.<br \/>\nThe lengths of different types of snakes at a zoo are shown in the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-29.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 29\" width=\"269\" height=\"144\" \/><br \/>\nFor numbers 15a\u201315d, select True or False for the statement.<br \/>\na. Bobby is 4 times as long as Kenny.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\nKenny = 3\/2<br \/>\nBobby = 9\/2<br \/>\nPuck = 15\/2<br \/>\n4 x 3\/2 =6<br \/>\nSo, the statement is false.<\/p>\n<p>Question 15.<br \/>\nb. Bobby is 3 times as long as Kenny.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n3 x 3\/2 = 9\/2<br \/>\nSo, the statement is true.<\/p>\n<p>Question 15.<br \/>\nc. Puck is 5 times as long as Kenny.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n5 x 3\/2 = 15\/2<br \/>\nSo, the statement is true.<\/p>\n<p>Question 15.<br \/>\nd. Puck is 2 times as long as Bobby.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n2 x 9\/2 = 9<br \/>\nSo, the statement is false.<\/p>\n<p>Question 16.<br \/>\nHank used 3 \\(\\frac{1}{2}\\) bags of seed to plant grass in his front yard. He used 3 times as much seed to plant grass in his back yard. How much seed did Hank need for the backyard?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n10\\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n3 x 7\/2 = 21\/2 = 10 and the remainder is 1. The answer is 10 1\/2.<\/p>\n<p>Question 17.<br \/>\nJess made a big kettle of rice and beans. He used 1 \\(\\frac{1}{2}\\) cups of beans. He used 4 times as much rice.<br \/>\nPart A<br \/>\nDraw a model to show the problem.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3112\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-491-300x93.jpg\" alt=\"Grade 4 Chapter 8 Image 1 491\" width=\"300\" height=\"93\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-491-300x93.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-491.jpg 433w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 17.<br \/>\nPart B<br \/>\nUse your model to write an equation. Then solve the equation to find the amount of rice Jess needs.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n6 cups<\/p>\n<p>Explanation:<br \/>\nRice = 4 x 3\/2 = 12\/2 = 6.<br \/>\nJess needs 6 cups of rice.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._492\"><\/a>Page No. 492<\/h3>\n<p>Question 18.<br \/>\nMrs. Burnham is making modeling clay for her class. She needs \\(\\frac{2}{3}\\) cup of warm water for each batch.<br \/>\nPart A<br \/>\nMrs. Burnham has a 1-cup measure that has no other markings. Can she make 6 batches of modeling clay using only the 1-cup measure? Describe two ways you can find the answer.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nYes. She needs 6 x 2\/3 cups of water. 6 x 2\/3 = 12\/3 = 4 cups.<br \/>\nSo, she can use the 1-cup measure 4 times to make 6 batches.<\/p>\n<p>Question 18.<br \/>\nPart B<br \/>\nThe modeling clay recipe also calls for \\(\\frac{1}{2}\\) cup of cornstarch. Nikki says Mrs. Burnham will also need 4 cups of cornstarch. Do you agree or disagree? Explain.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nDisagree; 6 x 1\/2 = 3 cups of cornstrach.<br \/>\nShe doesn&#8217;t need 4 cups of cornstarch.<\/p>\n<p>Question 19.<br \/>\nDonna buys some fabric to make place mats. She needs \\(\\frac{1}{5}\\) yard of each type of fabric. She has 9 different types of fabrics to make her design. Use the following equation. Write the number in the box to make the statement true.<br \/>\n\\(\\frac{9}{5}\\) = ______ \u00d7 \\(\\frac{1}{5}\\)<\/p>\n<p>Answer:<br \/>\n9<\/p>\n<p>Question 20.<br \/>\nMr. Tuyen uses \\(\\frac{5}{8}\\) of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks? Write your answer two different ways.<br \/>\nMr. Tuyen uses __________ or _________ tanks of gas.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nMr. Tuyen uses 25\/8 or 3\\(\\frac{1}{8}\\) tanks of gas<\/p>\n<p>Explanation:<br \/>\n5 x 5\/8 = 25\/8 = 3 and the remainder is 1. So, the mixed fraction is 3 1\/8.<\/p>\n<p>Question 21.<br \/>\nRico is making 4 batches of salsa. Each batch needs \\(\\frac{2}{3}\\) cup of corn. He only has a \\(\\frac{1}{3}\\)&#8211; cup measure. How many times must Rico measure \\(\\frac{1}{3}\\) cup of corn to have enough for all of the salsa?<br \/>\n______ times<\/p>\n<p>Answer:<br \/>\n8 times<\/p>\n<p>Explanation:<br \/>\nRico is making 4 batches of salsa. Each batch needs \\(\\frac{2}{3}\\) cup of corn. He only has a \\(\\frac{1}{3}\\)&#8211; cup measure.<br \/>\nSo, he needs 2x 1\/3 cups for one batch. For 4 batches of salsa, 4 x 2 = 8 cups of corn required.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._497\"><\/a>Page No. 497<\/h3>\n<p>Question 1.<br \/>\nWrite five tenths as a fraction and as a decimal.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-30.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 30\" width=\"344\" height=\"96\" \/><br \/>\nFraction: __________ Decimal: __________<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3115\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-497-300x86.jpg\" alt=\"Grade 4 Chapter 8 Image 1 497\" width=\"300\" height=\"86\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-497-300x86.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-1-497.jpg 657w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n5\/10 = 0.5<\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-31.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 31\" width=\"296\" height=\"94\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n3\\(\\frac{2}{10}\\)<br \/>\nthree and two-tenths<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-32.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 32\" width=\"361\" height=\"85\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3116\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-497-300x100.jpg\" alt=\"Grade 4 Chapter 8 Image 2 497\" width=\"300\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-497-300x100.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-8-Image-2-497.jpg 638w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-33.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 33\" width=\"96\" height=\"98\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n4\/10 = 0.4<\/p>\n<p>Explanation:<br \/>\n4 boxes are shaded out of 10 boxes. So, the fraction is 4\/10.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-34.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 34\" width=\"361\" height=\"85\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{2}{10}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-35.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 35\" width=\"196\" height=\"95\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{9}{10}\\)<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-36.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 36\" width=\"370\" height=\"85\" \/><br \/>\nType below:<br \/>\n_________<br \/>\nAnswer:<br \/>\n3\\(\\frac{4}{10}\\)<\/p>\n<p><strong>Practice: Copy and Solve Write the fraction or mixed number as a decimal.<\/strong><\/p>\n<p>Question 8.<br \/>\n5 \\(\\frac{9}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{59}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply 10 x 5 = 50.<br \/>\nAdd 50 + 9 = 59.<br \/>\nThe fraction is 59\/10<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{1}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.1<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{7}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.7<\/p>\n<p>Question 11.<br \/>\n8 \\(\\frac{9}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{89}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply 10 x 8 = 80.<br \/>\nAdd 80 + 9 = 89.<br \/>\nThe fraction is 89\/10<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{6}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.6<\/p>\n<p>Question 13.<br \/>\n6 \\(\\frac{3}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{63}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply 10 x 6 = 60.<br \/>\nAdd 60 + 3 = 63.<br \/>\nThe fraction is 63\/10<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{5}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.5<\/p>\n<p>Question 15.<br \/>\n9 \\(\\frac{7}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{97}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply 10 x 9 = 90.<br \/>\nAdd 90 +7 = 97.<br \/>\nThe fraction is 97\/10<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._498\"><\/a>Page No. 498<\/h3>\n<p><strong>Use the table for 16\u221219.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-37.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 37\" width=\"288\" height=\"353\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-38.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 38\" width=\"341\" height=\"261\" \/><\/p>\n<p>Question 16.<br \/>\nWhat part of the rocks listed in the table are igneous? Write your answer as a decimal.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.5<\/p>\n<p>Question 17.<br \/>\nSedimentary rocks make up what part of Ramon\u2019s collection? Write your answer as a fraction and in word form.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n3\/10 and three-tenths<\/p>\n<p>Question 18.<br \/>\nWhat part of the rocks listed in the table are metamorphic? Write your answer as a fraction and as a decimal.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n2\/10 or 0.2<\/p>\n<p>Question 19.<br \/>\nCommunicate Niki wrote the following sentence in her report: \u201cMetamorphic rocks make up 2.0 of Ramon\u2019s rock collection.\u201d Describe her error.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nMetamorphic rocks make up 2.0 of Ramon\u2019s rock collection. But from the given table, it is clearly mentioned that the answer is 0.2. So, she made a mistake to make up Ramon\u2019s rock collection.<\/p>\n<p>Question 20.<br \/>\nJosh paid for three books with two $20 bills. He received $1 in change. Each book was the same price. How much did each book cost?<br \/>\n$ _____ each book<\/p>\n<p>Answer:<br \/>\n$19\/3 for each book.<\/p>\n<p>Explanation:<br \/>\nJosh paid for three books with two $20 bills. He received $1 in change. So, he paid $19 for three books. As the each book has same price, the answer is $19\/3 for each book.<\/p>\n<p>Question 21.<br \/>\nSelect a number shown by the model. Mark all that apply.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-8-Multiply-Fractions-by-Whole-Numbers-img-39.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers img 39\" width=\"436\" height=\"135\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{7}{10}\\)<br \/>\n1.7<\/p>\n<h3>Conclusion:<\/h3>\n<p>We understand the knowledge shed regarding <strong>Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers PDF<\/strong> has benefited you more. If you have any queries you can examine your knowledge using the Grade 4 Chapter 8 Answer Key Homework Practice FL. Visit our site to ask for details about the Go Math Solution Key of different grades.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Download Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers pdf for free of cost. Check out the 4th Grade HMH Go Math chapter 8 questions during your preparation and know the topics clearly. 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