{"id":2837,"date":"2022-03-27T17:26:59","date_gmt":"2022-03-27T11:56:59","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=2837"},"modified":"2022-04-07T14:24:35","modified_gmt":"2022-04-07T08:54:35","slug":"go-math-grade-4-answer-key-homework-practice-fl-chapter-6-fraction-equivalence-and-comparison","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-homework-practice-fl-chapter-6-fraction-equivalence-and-comparison\/","title":{"rendered":"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison"},"content":{"rendered":"<p>Free PDF Download links of <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-4-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 4 Answer Key<\/a> Homework Practice FL Chapter 6 Fraction Equivalence and Comparison are prevailing here for free. Simply refer to them once and make use of the Go Math Grade 4 Chapter 6 Fraction Equivalence and Comparison Answer Key Homework Practice FL to practice all questions covered in the Go Math Grade 4 Chapter 6 Textbook. The biggest goal of preparing these Answer Key Homework Practice FL by our team is to make students understand the concepts and secure well in the exams.<\/p>\n<p>&nbsp;<\/p>\n<h2>Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison<\/h2>\n<p>Find all step-by-step explanations for every question from these Answer key of grade 4 HMH Go Math Ch 6 Homework Practice FL. Hence, take a look at the list of the toppers recommended HMH Go Math Grade 4 Solution Key for Chapter 6 Fraction Equivalence and Comparison and learn all the basics easily. In Chapter 6 go math HMH grade 4 Solution Key, you will find the topics like Equivalent Fractions, Comparing fractions, pair of fractions as a pair of fractions with a common denominator, and so on.<\/p>\n<p><strong>Lesson: 1 &#8211; Equivalent Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_113\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 113<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_114\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 114<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_115\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 115<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_116\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 116<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_117\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 117<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_118\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 118<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_119\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 119<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_120\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 120<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_121\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 121<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_122\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 122<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_123\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 123<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_124\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 124<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_125\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 125<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_126\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 126<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 8<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_127\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 127<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_128\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 128<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 9<\/strong><\/p>\n<ul>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_129\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 129<\/a><\/li>\n<li><a href=\"#Common_Core_Fraction_Equivalence_and_Comparison_Page_No_130\">Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 130<\/a><\/li>\n<\/ul>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_113\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 113<\/h3>\n<p><strong>Equivalent Fractions<\/strong><\/p>\n<p><strong>Use the model to write an equivalent 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-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-1.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 1\" width=\"262\" height=\"51\" \/><br \/>\n\\(\\frac{4}{6}=\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nThe first image has 4 parts shaded out of 6 parts. Divide 8\/10 with 2. You will get 2\/3. That means 2 parts are shaded out of 3 parts.<\/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-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-2.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 2\" width=\"259\" height=\"40\" \/><br \/>\n\\(\\frac{3}{4}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) = \\(\\frac{6}{8}\\)<\/p>\n<p>Explanation:<br \/>\nThe first image has 3 parts shaded out of 4 parts. Multiply 8\/10 with 2. You will get 6\/8. That means 6 parts are shaded out of 8 parts.<\/p>\n<p><strong>Tell whether the fractions are equivalent. Write = or \u2260.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{8}{10}\\) _____ \\(\\frac{4}{5}\\)<\/p>\n<p>Answer: \\(\\frac{8}{10}\\) = \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 4\/5 with 2.<br \/>\n8\/10 = (2\/2) \u00d7 (4\/5)<br \/>\n= 8\/10<br \/>\nSo, 8\/10 = 4\/5.<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{2}\\) _____ \\(\\frac{7}{12}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) \u2260 \\(\\frac{7}{12}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 1\/2 with 6<br \/>\n1\/2 = (6\/6) x (1\/2)<br \/>\n= (6\/12)<br \/>\nSo, 1\/2 \u2260 7\/12<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{4}\\) _____ \\(\\frac{8}{12}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) \u2260 \\(\\frac{8}{12}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 3\/4 with 3.<br \/>\n3\/4 = (3\/3) \u00d7 (3\/4)<br \/>\n= (9\/12)<br \/>\nSo, 3\/4 \u2260 8\/12<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{3}\\) _____ \\(\\frac{4}{6}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) = \\(\\frac{4}{6}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 2\/3 with 2.<br \/>\n2\/3 = (2\/2) \u00d7 (2\/3)<br \/>\n= 4\/6<br \/>\nSo, 2\/3 = 4\/6.<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{5}{8}\\) _____ \\(\\frac{4}{10}\\)<\/p>\n<p>Answer: \\(\\frac{5}{8}\\) \u2260 \\(\\frac{4}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 5\/8 with 2<br \/>\n5 \/ 8 =(2\/2) x (5\/ 8)<br \/>\n= (10\/16)<br \/>\nSo, 5\/8 \u2260 4\/10<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{6}\\) _____ \\(\\frac{4}{12}\\)<\/p>\n<p>Answer:<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{20}{100}\\) _____ \\(\\frac{1}{5}\\)<\/p>\n<p>Answer: \\(\\frac{20}{100}\\) = \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\nCross Multiply the 20\/100 with 20\/20<br \/>\n20\/100 = (20\/20) x (20\/100)<br \/>\n= (1\/5)<br \/>\nSo, 20\/100 = 1\/5.<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{5}{8}\\) _____ \\(\\frac{9}{10}\\)<\/p>\n<p>Answer: \\(\\frac{5}{8}\\) \u2260 \\(\\frac{9}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 5\/8 with 2<br \/>\n5\/8 = (2\/2) x (5\/8)<br \/>\n= 10\/16<br \/>\nSo, 5\/8 \u2260 9\/10<\/p>\n<p>Question 11.<br \/>\nJamal finished \\(\\frac{5}{6}\\) of his homework. Margaret finished \\(\\frac{3}{4}\\) of her homework, and Steve finished \\(\\frac{10}{12}\\) of his homework. Which two students finished the same amount of homework?<br \/>\n_________<\/p>\n<p>Answer: Jamal and Steve<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nJamal finished work = 5 \/6 of his homework<br \/>\nMargaret finished work = 3 \/4th of her homework<br \/>\nSteve finished work = 10\/12 of his homework<br \/>\nMultiply the numerator and denominator of 5\/6 with 2<br \/>\nThen, (2\/2) x (5\/6) = 10\/12<br \/>\nThen, Jamal and Steve finished the same amount of homework.<\/p>\n<p>Question 12.<br \/>\nSophia\u2019s vegetable garden is divided into 12 equal sections. She plants carrots in 8 of the sections. Write two fractions that are equivalent to the part of Sophia\u2019s garden that is planted with carrots.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 2\/3 and 4\/6<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nSophia\u2019s vegetable garden is divided into 12 equal sections<br \/>\nShe plants carrots in 8 of the sections out of 12 sections = 8\/12<br \/>\nBy simplifying the 8\/12, we will get 4\/6<br \/>\nAgain simplify the 4 \/6 by dividing method, you will get 2 \/3<br \/>\n2\/3 = (2\/2) x (2\/3)<br \/>\n= 4\/6<br \/>\nThen, the equivalent fractions are 2\/3, 4 \/6<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_114\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 114<\/h3>\n<p>Question 1.<br \/>\nA rectangle is divided into 8 equal parts. Two parts are shaded. Which fraction is equivalent to the shaded area of the rectangle?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{1}{3}\\)<br \/>\nc. \\(\\frac{2}{6}\\)<br \/>\nd. \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nA rectangle is divided into 8 equal parts<br \/>\nTwo parts are shaded<br \/>\nThen, the shaded area of rectangle = 2\/8<br \/>\nBy simplifying the 2\/8, you will get 1\/4<br \/>\nSo, the shaded area of rectangle = 1\/4<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 2.<br \/>\nJeff uses 3 fifth-size strips to model \\(\\frac{3}{5}\\). He wants to use tenth-size strips to model an equivalent fraction. How many tenth-size strips will he need?<br \/>\nOptions:<br \/>\na. 10<br \/>\nb. 6<br \/>\nc. 5<br \/>\nd. 3<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nJeff uses 3 fifth \u2013size strips to model = 3 \/ 5 size strips<br \/>\nIf he wants to use tenth \u2013 size strips to an equivalent fraction = 1 \/ 10 size strips<br \/>\nThe number of strips = x<br \/>\n(1\/10) x = 3\/5<br \/>\nx = 30\/5<br \/>\nthen, the required number of tenth size trips = 6<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 3.<br \/>\nCassidy places 40 stamps on each of 8 album pages. How many stamps does she place in all?<br \/>\nOptions:<br \/>\na. 300<br \/>\nb. 320<br \/>\nc. 360<br \/>\nd. 380<\/p>\n<p>Answer: 320<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nCassidy places 40 stamps on each of 8 album pages = 8 x 40 = 320<br \/>\nSo, totally placed stamps on album pages by Cassidy = 320 stamps<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 4.<br \/>\nMaria and 3 friends have 1,200 soccer cards. If they share the soccer cards equally, how many will each person receive?<br \/>\nOptions:<br \/>\na. 30<br \/>\nb. 40<br \/>\nc. 300<br \/>\nd. 400<\/p>\n<p>Answer: 300<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nMaria and 3 friends have 1200 soccer cards<br \/>\nIf soccer cards shared equally by four members = 1200\/4 = 300<br \/>\nThen, each person received soccer cards = 300<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 5.<br \/>\nSix groups of students sell 162 balloons at the school carnival. There are 3 students in each group. If each student sells the same number of balloons, how many balloons does each student sell?<br \/>\nOptions:<br \/>\na. 9<br \/>\nb. 18<br \/>\nc. 27<br \/>\nd. 54<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nAs per the given, data,<br \/>\nSix groups of students sell 162 balloons at the school carnival<br \/>\nThere are 3 students in each group<br \/>\nThen, total number of students in 6 groups = 6 x 3 = 18<br \/>\nIf each student sells the same number of balloons = 162 \/ 18 = 9<br \/>\nNumber of balloons sells by each student = 9<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 6.<br \/>\nFour students each made a list of prime numbers.<br \/>\nEric: 5, 7, 17, 23<br \/>\nMaya: 3, 5, 13, 17<br \/>\nBella: 2, 3, 17, 19<br \/>\nJordan: 7, 11, 13, 21<br \/>\nWho made an error and included a composite number?<br \/>\nOptions:<br \/>\na. Eric<br \/>\nb. Maya<br \/>\nc. Bella<br \/>\nd. Jordan<\/p>\n<p>Answer: Jordan<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nFour students each made a list of prime numbers.<br \/>\nEric: 5, 7, 17, 23<br \/>\nMaya: 3, 5, 13, 17<br \/>\nBella: 2, 3, 17, 19<br \/>\nJordan: 7, 11, 13, 21<br \/>\n21 is not a prime number.<br \/>\nSo, An error made by Jordan.<br \/>\nThus the correct answer is option d.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_115\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 115<\/h3>\n<p><strong>Write two equivalent fractions for each.<\/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-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-3.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 3\" width=\"115\" height=\"179\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{3}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 4\/6 and 8\/12<\/p>\n<p>Explanation:<br \/>\n2\/3<br \/>\n(2\/3) x (2\/2) = 4\/6<br \/>\n(2\/3) x (4\/4) = 8\/12<br \/>\nThen, the equivalent fractions of 2\/3 = 4\/6 and 8\/12<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{2}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 2\/4 and 4\/8<\/p>\n<p>Explanation:<br \/>\n1\/2<br \/>\n(1\/2) x (2\/2) = 2\/4<br \/>\n(1\/2) x (4\/4) = 4\/8<br \/>\nThen, the equivalent fractions of 1\/2 = 2\/4, 4\/8<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{4}{5}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 8\/10 and 80\/100<\/p>\n<p>Explanation:<br \/>\n4\/5<br \/>\n(4\/5) x (2\/2) = 8\/10<br \/>\n(4\/5) x (20\/20) = 80\/100<br \/>\nThen, the equivalent fractions of 4\/5 = 8\/10 and 80\/100<\/p>\n<p><strong>Tell whether the fractions are equivalent. Write # or \u2260.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{4}\\) _____ \\(\\frac{3}{12}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\) = \\(\\frac{3}{12}\\)<\/p>\n<p>Explanation:<br \/>\n1\/4<br \/>\nMultiply the numerator and denominator of 1\/4 with 3<br \/>\nThen, (1\/4) x (3\/3) = 3\/12<br \/>\nSo, 1\/4 = 3\/12<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{4}{5}\\) _____ \\(\\frac{5}{10}\\)<\/p>\n<p>Answer: \\(\\frac{4}{5}\\) \u2260 \\(\\frac{5}{10}\\)<\/p>\n<p>Explanation:<br \/>\n4\/5<br \/>\nMultiply numerator and denominator of 4\/5 with 2<br \/>\n(4\/5) x (2\/2) = 8\/10<br \/>\nThen 4\/5 \u2260 5\/10<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{3}{8}\\) _____ \\(\\frac{2}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{8}\\) \u2260 \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<br \/>\n3\/8 \u2260 2\/6<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{3}{4}\\) _____ \\(\\frac{6}{8}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) = \\(\\frac{6}{8}\\)<\/p>\n<p>Explanation:<br \/>\n3\/4<br \/>\nMultiply the numerator and denominator of 3\/4 with 2<br \/>\nThen, (3\/4) x (2\/2) = 6\/8<br \/>\nSo, 3\/4 = 6\/8<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{5}{6}\\) _____ \\(\\frac{10}{12}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\) = \\(\\frac{10}{12}\\)<\/p>\n<p>Explanation:<br \/>\n5\/6<br \/>\nMultiply the numerator and denominator with 2<br \/>\n(5\/6) x (2\/2) = 10\/12<br \/>\nSo, 5\/6 = 10\/12<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{6}{12}\\) _____ \\(\\frac{5}{8}\\)<\/p>\n<p>Answer: \\(\\frac{6}{12}\\) \u2260 \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\n6\/12 \u2260 5\/8<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{2}{5}\\) _____ \\(\\frac{4}{10}\\)<\/p>\n<p>Answer: \\(\\frac{2}{5}\\) = \\(\\frac{4}{10}\\)<\/p>\n<p>Explanation:<br \/>\n2\/5<br \/>\nMultiply the numerator and denominator of 2\/5 with 2<br \/>\n(2\/5) x (2\/2) = 4\/10<br \/>\nSo, 2\/5 = 4\/10<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{2}{4}\\) _____ \\(\\frac{3}{12}\\)<\/p>\n<p>Answer: \\(\\frac{2}{4}\\) \u2260 \\(\\frac{3}{12}\\)<\/p>\n<p>Explanation:<br \/>\n2\/4<br \/>\nMultiply the numerator and denominator of 2\/4 with 3<br \/>\n(2\/4) x (3\/3) = 6\/12<br \/>\nSo, 2\/4 \u2260 3\/ 12<\/p>\n<p>Question 13.<br \/>\nJan has a 12-ounce milkshake. Four ounces in the milkshake are vanilla, and the rest is chocolate. What are two equivalent fractions that represent the fraction of the milkshake that is vanilla?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 1\/3 and 2\/6<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nJan has a 12-ounce milkshake<br \/>\nFour ounces in the milkshake are vanilla = 4\/12 = 1\/3<br \/>\nThen, 8-ounces in milkshake are chocolate = 8\/12 = 2\/3<br \/>\n4\/12 = 1\/3<br \/>\nBy multiplying 1\/3 with 2<br \/>\n(1\/3) x (2\/2) = 2\/6<br \/>\nSo, the equivalent fractions of vanilla milkshake are 1\/3 and 2\/6.<\/p>\n<p>Question 14.<br \/>\nKareem lives \\(\\frac{4}{10}\\) of a mile from the mall. Write two equivalent fractions that show what fraction of a mile Kareem lives from the mall.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 2\/5 and 8\/20<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nKareem lives 4\/10 of a mile from the mall<br \/>\nTo find the equivalent fractions of 4\/10<br \/>\nSimplify the 4\/10 = 2\/5<br \/>\nMultiply the numerator and denominator of 2\/5 with 4<br \/>\n(2\/5) x (4\/4) = 8\/20<br \/>\nThen, the equivalent fraction of a mile Kareem lives from the mall = 2\/5 and 8\/20<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_116\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 116<\/h3>\n<p>Question 1.<br \/>\nJessie colored a poster. She colored \\(\\frac{2}{5}\\) of the poster red. Which fraction is equivalent to \\(\\frac{2}{5}\\) ?<br \/>\nOptions:<br \/>\na. \\(\\frac{4}{10}\\)<br \/>\nb. \\(\\frac{7}{10}\\)<br \/>\nc. \\(\\frac{4}{5}\\)<br \/>\nd. \\(\\frac{2}{2}\\)<\/p>\n<p>Answer: \\(\\frac{4}{10}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nJessie colored a poster<br \/>\nShe colored 2\/5th of the poster red<br \/>\nMultiply the numerator and denominator of 2\/5 with 2<br \/>\nThen, (2\/5) x (2\/2) = 4 \/10<br \/>\nSo, the equivalent fraction of 2\/5 is 4\/10.<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 2.<br \/>\nJessie colored a poster. She colored \\(\\frac{1}{4}\\) of the poster red. Which fraction is equivalent to \\(\\frac{1}{4}\\) ?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{5}, \\frac{3}{12}\\)<br \/>\nb. \\(\\frac{2}{8}, \\frac{4}{12}\\)<br \/>\nc. \\(\\frac{3}{4}, \\frac{6}{8}\\)<br \/>\nd. \\(\\frac{2}{8}, \\frac{3}{12}\\)<\/p>\n<p>Answer: \\(\\frac{2}{8}, \\frac{3}{12}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nMarcus makes a punch that is 1\/4th of cranberry juice<br \/>\nMultiply the numerator and denominator of 1\/4 with 2<br \/>\nThen, (1\/4) x (2\/2) = 2\/8<br \/>\nMultiply the numerator and denominator of 1\/4 with 3<br \/>\nThen, (1\/4) x (3\/3) = 3\/12<br \/>\nEquivalent fractions of 1\/4 are 2\/8 and 3\/12.<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 3.<br \/>\nAn electronics store sells a large flat screen television for $1,699. Last month, the store sold 8 of these television sets. About how much money did the store make on the television sets?<br \/>\nOptions:<br \/>\na. $160,000<br \/>\nb. $16,000<br \/>\nc. $8,000<br \/>\nd. $1,600<\/p>\n<p>Answer: $16,000<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nAn electronics store sells a large flat-screen television for $1,699<br \/>\nLast month, the store sold 8 of these television sets = 8 x $1,699 = $13,952. The money is about to $16,000.<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 4.<br \/>\nMatthew has 18 sets of baseball cards. Each set has 12 cards. About how many baseball cards does Matthew have in all?<br \/>\nOptions:<br \/>\na. 300<br \/>\nb. 200<br \/>\nc. 150<br \/>\nd. 100<\/p>\n<p>Answer: 200<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nMatthew has 18 sets of basketball cards<br \/>\nEach set has 12 cards = 12 x 18 = 216<br \/>\nTotal number of basketball cards with Matthew = 216.<br \/>\nSo, it is near to 200.<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 5.<br \/>\nDiana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?<br \/>\nOptions:<br \/>\na. 3<br \/>\nb. 4<br \/>\nc. 5<br \/>\nd. 6<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nDiana has 41 stickers<br \/>\nShe put them in 7 equal groups = 41\/7<br \/>\n= 5 (remaining 6)<br \/>\nShe gave the leftover stickers to her sister<br \/>\nThe number of stickers Diana give to her sister = 6<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 6.<br \/>\nChristopher wrote the number pattern below. The first term is 8.<br \/>\n8, 6, 9, 7, 10, \u2026<br \/>\nWhich is a rule for the pattern?<br \/>\nOptions:<br \/>\na. Add 2, add 3.<br \/>\nb. Add 6, subtract 3.<br \/>\nc. Subtract 6, add 3.<br \/>\nd. Subtract 2, add 3<\/p>\n<p>Answer: Subtract 2, add 3<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nChristopher wrote the number pattern = 8, 6, 9, 7, 10, \u2026..<br \/>\nThe first number in the pattern = 8<br \/>\n8 \u2013 2 = 6 + 3 = 9 \u2013 2 = 7 +3 = 10 \u2026.<br \/>\nSo, the rule for the above pattern is to subtract 2, add 3.<br \/>\nThus the correct answer is option d.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_117\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 117<\/h3>\n<p><strong>Write the fraction in simplest form.<\/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-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-4.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 4\" width=\"207\" height=\"116\" \/><\/p>\n<p>Explanation:<br \/>\nTo write the 6\/10 in a simplest form<br \/>\nDivide the numerator and denominator of 6\/10 with 2<br \/>\n(6 \u00f72)\/(10 \u00f72) = 3\/5<br \/>\nSo, the simplest form of 6\/10 = 3\/5<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{6}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nTo write the 6\/8in a simplest form<br \/>\nDivide the numerator and denominator of 6\/8 with 2<br \/>\n(6 \u00f72)\/(8 \u00f72) = 3\/4<br \/>\nSo, the simplest form of 6\/8 = 3\/4<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{5}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{1}\\)<\/p>\n<p>Explanation:<br \/>\nTo write the 5\/5in a simplest form<br \/>\nDivide the numerator and denominator of 5\/5 with 5<br \/>\n(5 \u00f75)\/(5 \u00f75) = 1\/1<br \/>\nSo, the simplest form of 5\/5 = 1<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{8}{12}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nTo write the 8\/12in a simplest form<br \/>\nDivide the numerator and denominator of 8\/12 with 4<br \/>\n(8 \u00f74)\/(12 \u00f74) = 2\/3<br \/>\nSo, the simplest form of 8\/12 = 2\/3<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{100}{100}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation:<br \/>\nAny number divided by the same number will be always equal to 1.<br \/>\nThe simplest form of 100\/100 = 1<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{6}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nTo write the 2\/6in a simplest form<br \/>\nDivide the numerator and denominator of 2\/6 with 2<br \/>\n(2 \u00f72)\/(6 \u00f72) = 1\/3<br \/>\nSo, the simplest form of 2\/6 = 1\/3<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{2}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nTo write the 2\/8in a simplest form<br \/>\nDivide the numerator and denominator of 2\/8 with 2<br \/>\n(2 \u00f72)\/(8 \u00f72) = 1\/4<br \/>\nSo, the simplest form of 2\/8 = 1\/4<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{4}{10}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\nTo write the 4\/10 in a simplest form<br \/>\nDivide the numerator and denominator of 4 \/10 with 2<br \/>\n(4 \u00f72)\/(10 \u00f72) = 2\/5<br \/>\nSo, the simplest form of 4\/10 = 2\/5<\/p>\n<p><strong>Tell whether the fractions are equivalent. Write = or \u2260. (if you dont have \u2260on your keyboard, copy and paste this one: \u2260 )<\/strong><\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{12}\\) ______ \\(\\frac{1}{12}\\)<\/p>\n<p>Answer: \\(\\frac{6}{12}\\) \u2260 \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\n6\/12 \u2260 1\/12<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{3}{4}\\) ______ \\(\\frac{5}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) \u2260 \\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<br \/>\n3\/4 \u2260 5\/6<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{6}{10}\\) ______ \\(\\frac{3}{5}\\)<\/p>\n<p>Answer: \\(\\frac{6}{10}\\) = \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n6\/10<br \/>\nDivide the numerator and denominator of 6\/10 with 2<br \/>\n(6 \u00f7 2)\/( 10 \u00f7 2) = 3\/5<br \/>\nSo, 6\/10 = 3\/5<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{3}{12}\\) ______ \\(\\frac{1}{3}\\)<\/p>\n<p>Answer: \\(\\frac{3}{12}\\) \u2260 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n3\/12 \u2260 1\/3<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{6}{10}\\) ______ \\(\\frac{60}{100}\\)<\/p>\n<p>Answer: \\(\\frac{6}{10}\\) = \\(\\frac{60}{100}\\)<\/p>\n<p>Explanation:<br \/>\n6\/10<br \/>\nMultiply the numerator and denominator of 6\/10 with 10<br \/>\n(6 x 10)\/(10 x 10) = 60\/100<br \/>\nSo, 6\/10 = 60\/100<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{11}{12}\\) ______ \\(\\frac{9}{10}\\)<\/p>\n<p>Answer: \\(\\frac{11}{12}\\) \u2260 \\(\\frac{9}{10}\\)<\/p>\n<p>Explanation:<br \/>\n11\/12 \u2260 9\/10<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{2}{5}\\) ______ \\(\\frac{8}{20}\\)<\/p>\n<p>Answer: \\(\\frac{2}{5}\\) = \\(\\frac{8}{20}\\)<\/p>\n<p>Explanation:<br \/>\n2\/5<br \/>\nMultiply the numerator and denominator of 2\/5 with 4<br \/>\n(2 x 4)\/(5 x 4) = 8\/20<br \/>\nSo, 2\/5 = 8\/20<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{4}{8}\\) ______ \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{4}{8}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n4\/8<br \/>\nDivide the numerator and denominator of 4\/8 with 4<br \/>\n(4 x 4)\/(8 x 4) = 1\/2<br \/>\nSo, 4\/8 = 1\/2<\/p>\n<p>Question 17.<br \/>\nAt Memorial Hospital, 9 of the 12 babies born on Tuesday were boys. In simplest form, what fraction of the babies born on Tuesday were boys?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nAt the memorial hospital, 9 of the 12 babies born on Tuesday were boys = 9\/12<br \/>\nDivide the numerator and denominator of 9\/12 with 3<br \/>\n(9 \u00f7 3)\/(12 \u00f7 3) = 3\/4<br \/>\nSo, in the simplest form<br \/>\n3\/4 of the babies born on Tuesday were boys.<\/p>\n<p>Question 18.<br \/>\nCristina uses a ruler to measure the length of her math textbook. She says that the book is \\(\\frac{4}{10}\\) meter long. Is her measurement in simplest form? If not, what is the length of the book in simplest form?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nCristiana uses a ruler to measure the length of her math textbook<br \/>\nShe says that the book is 4\/10meter long<br \/>\nIt is not in the simplest form<br \/>\nDivide the numerator and denominator of 4\/10 with 2<br \/>\n(4\u00f7 2)\/( 10 \u00f7 2) = 2\/5<br \/>\nThe length of the book in the simplest form = 2\/5.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_118\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 118<\/h3>\n<p>Question 1.<br \/>\nSix out of the 12 members of the school choir are boys. In simplest form, what fraction of the choir is boys?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{6}\\)<br \/>\nb. \\(\\frac{6}{12}\\)<br \/>\nc. \\(\\frac{1}{2}\\)<br \/>\nd. \\(\\frac{12}{6}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nSix out of the 12 members of the school choir are boys = 6\/12<br \/>\nTo write the simplest form of 6\/12, divide the numerator and denominator with 6<br \/>\nThen, (6 \u00f7 6)\/(12 \u00f7 6) = 1\/2<br \/>\nIn the simplest form, 1\/2 of the choir is boys.<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 2.<br \/>\nSix out of the 12 members of the school choir are boys. In simplest form, what fraction of the choir is boys?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{6}\\)<br \/>\nb. \\(\\frac{6}{8}\\)<br \/>\nc. \\(\\frac{8}{10}\\)<br \/>\nd. \\(\\frac{2}{12}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<br \/>\n5\/6 is in the simplest form<br \/>\n6\/8 simplest form = 3\/4<br \/>\n8\/10 simplest form = 4\/5<br \/>\n2\/12 simplest form = 1\/6<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 3.<br \/>\nEach of the 23 students in Ms. Evans\u2019 class raised $45 for the school by selling coupon books. How much money did the class raise in all?<br \/>\nOptions:<br \/>\na. $207<br \/>\nb. $225<br \/>\nc. $1,025<br \/>\nd. $1,035<\/p>\n<p>Answer: $1,035<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nEach of the 23 students in Ms. Evan\u2019s class raised $45 for the school by selling coupon books<br \/>\n= 23 x $45<br \/>\n= $1,035<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 4.<br \/>\nWhich pair of numbers below have 4 and 6 as common factors?<br \/>\nOptions:<br \/>\na. 12, 18<br \/>\nb. 20, 24<br \/>\nc. 28, 30<br \/>\nd. 36, 48<\/p>\n<p>Answer: 36, 48<\/p>\n<p>Explanation:<br \/>\n36, 48<br \/>\nHere, 36 = 4 x 9<br \/>\n= 2 x 2 x 3 x 3<br \/>\n48 = 6 x 8<br \/>\n= 2 x 3 x 4 x 2<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 5.<br \/>\nBart uses \\(\\frac{3}{12}\\) cup milk to make muffins. Which fraction is equivalent to \\(\\frac{3}{12}\\) ?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{1}{3}\\)<br \/>\nc. \\(\\frac{1}{2}\\)<br \/>\nd. \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nBart uses 3\/12 cup milk to make muffins<br \/>\nDivide the fraction with 3<br \/>\n(3 \u00f7 3)\/(12 \u00f7 3) = 1\/4<br \/>\nSo, the equivalent fraction for 3\/12 = 1\/4<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 6.<br \/>\nAshley bought 4 packages of juice boxes. There are 6 juice boxes in each package. She gave 2 juice boxes to each of 3 friends. How many juice boxes does Ashley have left?<br \/>\nOptions:<br \/>\na. 24<br \/>\nb. 22<br \/>\nc. 18<br \/>\nd. 12<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nAshley bought 4 packages of juice boxes<br \/>\nThere are 6 juice boxes in each package = 6 x 4 = 24<br \/>\nShe gave 2 juice boxes to each of 3 friends = 2 x 3 = 6 juice boxes<br \/>\nSo, 24 \u2013 6 = 18<br \/>\nTotal number of juice boxes left with Ashley = 18<br \/>\nThus the correct answer is option c.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_119\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 119<\/h3>\n<p><strong>Write the pair of fractions as a pair of fractions with a common denominator.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{2}{3} \\text { and } \\frac{3}{4}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-5.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 5\" width=\"271\" height=\"150\" \/><\/p>\n<p>Explanation:<br \/>\n2\/3 and 3\/4<br \/>\nList the multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, \u2026<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, \u2026<br \/>\nCommon multiple of 3 and 4 is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (2 x 12) \u00f7( 3 x 12) and ( 3 x 12 ) \u00f7 ( 4 x 12)<br \/>\nSo, common pair of fractions = 8\/12 and 9\/12<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{1}{4} \\text { and } \\frac{2}{3}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 3\/4 and 8\/12<\/p>\n<p>Explanation:<br \/>\n1\/4 and 2\/3<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, \u2026<br \/>\nList the multiples of 3 = 3, 6, 9, 12, 15, 18, \u2026<br \/>\nCommon multiple of 4 and 3 is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (1 x 12) \u00f7( 4 x 12) and ( 2 x 12 ) \u00f7 ( 3 x 12)<br \/>\nSo, common pair of fractions = 3\/12 and 8\/12<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{3}{10} \\text { and } \\frac{1}{2}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 3\/10 and 5\/10<\/p>\n<p>Explanation:<br \/>\n3\/10 and 1\/2<br \/>\nList the multiples of 10 = 10, 20, 30, 40, 50, \u2026.<br \/>\nList the multiples of 2 = 2, 4, 6, 8, 10, 12, 14, \u2026.<br \/>\nCommon multiple of 10 and 2 is 10<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (3 x 10) \u00f7( 10 x 10) and ( 1 x 10 ) \u00f7 ( 2 x 10)<br \/>\nSo, common pair of fractions = 3\/10 and 5\/10<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{3}{5} \\text { and } \\frac{3}{4}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 12\/20 and 15\/20<\/p>\n<p>Explanation:<br \/>\n3\/5 and 3\/4<br \/>\nList the multiples of 5 = 5, 10, 15, 20, 25, 30, \u2026.<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, 24, \u2026<br \/>\nCommon multiple of 5 and 4 is 20<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (3 x 20) \u00f7( 5 x 20) and ( 3 x 20 ) \u00f7 ( 4 x 20)<br \/>\nSo, common pair of fractions = 12\/20 and 15\/20<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{2}{4} \\text { and } \\frac{7}{8}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 4\/8 and 7\/8<\/p>\n<p>Explanation:<br \/>\n2\/4 and 7\/8<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, 24, \u2026<br \/>\nList the multiples of 8 = 8, 16, 24, 32, 40, \u2026.<br \/>\nCommon multiple of 4 and 8 is 8<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (2 x 8) \u00f7( 4 x 8) and ( 7 x 8 ) \u00f7 ( 8 x 8)<br \/>\nSo, common pair of fractions = 4\/8 and 7\/8<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{3} \\text { and } \\frac{5}{12}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 8\/12 and 5\/12<\/p>\n<p>Explanation:<br \/>\n2\/3 and 5\/12<br \/>\nList the multiples of 3 = 3, 6, 9, 12, 15, 18, \u2026<br \/>\nList the multiples of 12 = 12, 24, 36, 48, 60, \u2026<br \/>\nCommon multiple of 3 and 12 is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (2 x 12) \u00f7( 3 x 12) and ( 5 x 12 ) \u00f7 ( 12 x 12)<br \/>\nSo, common pair of fractions = 8\/12 and 5\/12<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{4} \\text { and } \\frac{1}{6}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 3\/12 and 2\/12<\/p>\n<p>Explanation:<br \/>\n1\/4 and 1\/6<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, 24, \u2026<br \/>\nList the multiples of 6 = 6, 12, 18, 24, 30, \u2026<br \/>\nCommon multiple of 4 and 6 is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nThat is, (1 x 12) \u00f7( 4 x 12) and ( 1 x 12 ) \u00f7 ( 6 x 12)<br \/>\nSo, common pair of fractions = 3\/12 and 2\/12.<\/p>\n<p><strong>Tell whether the fractions are equivalent. Write = or \u2260.<\/strong><\/p>\n<p>Question 8.<br \/>\n\\(\\frac{1}{2}\\) ______ \\(\\frac{2}{5}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) \u2260 \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator and denominator of 1\/2 with 2<br \/>\n(1 x 2) \u00f7 (2 x 2) = 2\/4<br \/>\nSo, 1\/2 \u2260 2\/5<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{1}{2}\\) ______ \\(\\frac{3}{6}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) = \\(\\frac{3}{6}\\)<\/p>\n<p>Explanation:<br \/>\n1\/2<br \/>\nMultiply the numerator and denominator of 1\/2 with 3<br \/>\n(1 x 3) \u00f7 (2 x 3) = 3\/6<br \/>\nSo, 1\/2 = 3\/6<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{3}{4}\\) ______ \\(\\frac{5}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) \u2260 \\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<br \/>\n3\/4 \u2260 5\/6<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{6}{10}\\) ______ \\(\\frac{3}{5}\\)<\/p>\n<p>Answer: \\(\\frac{6}{10}\\) = \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n6\/10<br \/>\nDivide the numerator and denominator of 6\/10 with 2<br \/>\n(6 \u00f7 2)\/(10 \u00f72) = 3\/5<br \/>\nSo, 6\/10 = 3\/5<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{6}{8}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n6\/8<br \/>\nDivide the numerator and denominator of 6\/8 with 2<br \/>\n(6 \u00f72)\/(8 \u00f72) = 3\/4<br \/>\nSo, 6\/8 = 3\/4<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{3}{4}\\) ______ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) \u2260 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\n3\/4 \u2260 2\/3<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{2}{10}\\) ______ \\(\\frac{4}{5}\\)<\/p>\n<p>Answer: \\(\\frac{2}{10}\\) \u2260 \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\n2\/10<br \/>\nDivide the numerator and denominator of 2\/10 with 8<br \/>\n(8 \u00f7 2)\/(10 \u00f7 2) = 4\/5<br \/>\nSo, 2\/10 \u2260 4\/5<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{1}{4}\\) ______ \\(\\frac{3}{12}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\) = \\(\\frac{3}{12}\\)<\/p>\n<p>Explanation:<br \/>\n1\/4<br \/>\nMultiply the numerator and denominator of 1\/4 with 3<br \/>\n(1 x 3)\/(4 x 3) = 3\/12<br \/>\nSo, 1\/4 = 3\/12<\/p>\n<p>Question 16.<br \/>\nAdam drew two same size rectangles and divided them into the same number of equal parts. He shaded \\(\\frac{1}{3}\\) of one rectangle and \\(\\frac{1}{4}\\) of other rectangle. What is the least number of parts into which both rectangles could be divided?<br \/>\n_________<\/p>\n<p>Answer: 12 parts<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nAdam drew two same size rectangles and divided them into the same number of equal parts<br \/>\nHe shaded 1\/3 of one rectangle<br \/>\n1\/4 of another rectangle<br \/>\nList the multiples of 3 = 3, 6, 9, 12, 15, 18, \u2026<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, \u2026<br \/>\nA common multiple of 3 and 4 is 12<br \/>\nSo, the least number of parts which rectangles could be divided = 12 parts<\/p>\n<p>Question 17.<br \/>\nMera painted equal sections of her bedroom wall to make a pattern. She painted \\(\\frac{2}{5}\\) of the wall white and \\(\\frac{1}{2}\\) of the wall lavender. Write an equivalent fraction for each using a common denominator.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 1\/2 are 4\/10 and 5\/10<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nMera painted equal sections of her bedroom wall to make a pattern<br \/>\nShe painted 2\/5 of the wall white and 1\/2 of the wall lavender<br \/>\nList the multiples of 5 = 5, 10, 15, 20, 25, 30, \u2026<br \/>\nList the multiples of 2 = 2 ,4, 6, 8, 10, 12, 14, \u2026<br \/>\nThe common denominator of 2\/5 and 1\/2 = 10<br \/>\nMultiply the 2\/5 and 1\/2 with 10<br \/>\n(2 x 10)\/(5 x 10) and (1 x 10)\/(2 x 10)<br \/>\n4\/10 and 5\/10<br \/>\nSo, common fractions of 2\/5 and 1\/2 are 4\/10 and 5\/10.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_120\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 120<\/h3>\n<p>Question 1.<br \/>\nWhich of the following is a common denominator of \\(\\frac{1}{4}\\) and \\(\\frac{5}{6}\\) ?<br \/>\nOptions:<br \/>\na. 8<br \/>\nb. 9<br \/>\nc. 12<br \/>\nd. 15<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nThe common denominator of 1\/4 and 5\/6<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, 24, \u2026<br \/>\nList the multiples of 6 = 6, 12, 18, 24, 30, \u2026.<br \/>\nSo, the common denominator of 1\/4 and 5\/6 is 12<br \/>\nThe correct answer is option c.<\/p>\n<p>Question 2.<br \/>\nTwo fractions have a common denominator of 8. Which of the following could be the two fractions?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{2} \\text { and } \\frac{2}{3}\\)<br \/>\nb. \\(\\frac{1}{4} \\text { and } \\frac{1}{2}\\)<br \/>\nc. \\(\\frac{3}{4} \\text { and } \\frac{1}{6}\\)<br \/>\nd. \\(\\frac{1}{2} \\text { and } \\frac{4}{5}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4} \\text { and } \\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nTwo fractions have a common denominator of 8<br \/>\na. 1\/2 and 2\/3<br \/>\nList the multiples of 2 = 2, 4, 6, 8,10, \u2026.<br \/>\nList the multiples of 3 = 3, 6, 9, 12, \u2026<br \/>\nThere is no common denominator of 8 for 1\/2 and 2\/3<br \/>\nb. 1\/4 and 1 \/2<br \/>\nList the multiples of 2 = 2, 4, 6, 8,10, \u2026.<br \/>\nList the multiples of 4 = 4, 8, 12, 16, \u2026<br \/>\nHere, the common denominator of 1 \/4 and 1 \/2 is 8<br \/>\nSo, the answer is 1\/4 and 1\/2<br \/>\nThe correct answer is option b.<\/p>\n<p>Question 3.<br \/>\nWhich number is 100,000 more than seven hundred two thousand, eighty-three?<br \/>\nOptions:<br \/>\na. 703,083<br \/>\nb. 712,083<br \/>\nc. 730,083<br \/>\nd. 802,083<\/p>\n<p>Answer: 802,083<\/p>\n<p>Explanation:<br \/>\n100,000 + 702,083 = 802,083<br \/>\nThe correct answer is option d.<\/p>\n<p>Question 4.<br \/>\nAiden baked 8 dozen muffins. How many total muffins did he bake?<br \/>\nOptions:<br \/>\na. 64<br \/>\nb. 80<br \/>\nc. 96<br \/>\nd. 104<\/p>\n<p>Answer: 96<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nAiden baked 8 dozen muffins<br \/>\n1 dozen = 12<br \/>\nthen, 8 dozens = 12 x 8 = 96<br \/>\nSo, Aiden baked total 96 muffins.<br \/>\nThe correct answer is option c.<\/p>\n<p>Question 5.<br \/>\nOn a bulletin board, the principal, Ms. Gomez, put 115 photos of the fourthgrade students in her school. She put the photos in 5 equal rows. How many photos did she put in each row?<br \/>\nOptions:<br \/>\na. 21<br \/>\nb. 23<br \/>\nc. 25<br \/>\nd. 32<\/p>\n<p>Answer: 23<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nOn a bulletin board, the principal, Ms. Gomez, put 115 photos of the fourth-grade students in her school<br \/>\nShe put the photos in 5 equal rows<br \/>\nThen, number of photos in each row = 115\/5 = 23<br \/>\nSo, Ms. Gomez put photos in each row = 23<br \/>\nThe correct answer is option b.<\/p>\n<p>Question 6.<br \/>\nJudy uses 12 tiles to make a mosaic. Eight of the tiles are blue. What fraction, in simplest form, represents the tiles that are blue?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{3}\\)<br \/>\nb. \\(\\frac{2}{5}\\)<br \/>\nc. \\(\\frac{3}{4}\\)<br \/>\nd. \\(\\frac{12}{18}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nJudy uses 12 tiles to make a mosaic<br \/>\nEight of the tiles are blue = 8\/12<br \/>\nDivide the numerator and denominator of 8\/12 with 4<br \/>\n(8 \u00f7 4)\/(12 \u00f7 4) = 2\/3<br \/>\nThe simplest form of 8\/12 is 2\/3<br \/>\nThe correct answer is option a.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_121\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 121<\/h3>\n<p>Question 1.<br \/>\nMiranda is braiding her hair. Then she will attach beads to the braid. She wants \\(\\frac{1}{3}\\) of the beads to be red. If the greatest number of beads that will fit on the braid is 12, what other fractions could represent the part of the beads that are red?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-6.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 6\" width=\"210\" height=\"79\" \/><\/p>\n<p>Explanation:<br \/>\nMiranda is braiding her hair. Then she will attach beads to the braid. She wants 1\/3 of the beads to be red. If the greatest number of beads that will fit on the braid is 12.<br \/>\n1\/3 \u00d7 2\/2 = 2\/6<br \/>\n1\/3 \u00d7 3\/3 = 3\/9<br \/>\n1\/3 \u00d7 4\/4 = 4\/12<\/p>\n<p>Question 2.<br \/>\nMs. Groves has trays of paints for students in her art class. Each tray has 5 colors. One of the colors is purple. What fraction of the colors in 20 trays is purple?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nMs. Groves has trays of paints for students in her art class.<br \/>\nEach tray has 5 colors.<br \/>\nIf you have 20 trays that are 100 colors with 20 being purple. 20\/ 100 is 1\/5.<\/p>\n<p>Question 3.<br \/>\nMiguel is making an obstacle course for field day. At the end of every sixth of the course, there is a tire. At the end of every third of the course, there is a cone. At the end of every half of the course, there is a hurdle. At which locations of the course will people need to go through more than one obstacle?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 1\/3, 1\/2, 2\/3 and final locations<\/p>\n<p>Explanation:<br \/>\nWe have three fractions with different denominators: sixths, thirds, and halves.<br \/>\nThe first step is to make all the denominators equal for 1\/6, 1\/3, 1\/2.<br \/>\nIn this case, we want sixths since LCM(2, 3, 6) = 6<br \/>\nsince 1\/3 = 2\/6, and 1\/2 = 3\/6. Now we can start solving.<br \/>\n1. There are six tires at the following: 1\/6, 2\/6, 3\/6, 4\/6, 5\/6, and 6\/6.<br \/>\n2. There are three cones at the following (G.C.F.): 2\/6 (or 1\/3), 4\/6 (or 2\/3), and 6\/6 (or 3\/3).<br \/>\n3. There are two hurdles at the following (G.C.F.): 3\/6 (or 1\/2) and 6\/6 (or 2\/2).<br \/>\nWe look for common numbers.<br \/>\n1. On 2\/6, there are two obstacles: a tire and a cone.<br \/>\n2. On 3\/6, there are two obstacles: a tire and a hurdle.<br \/>\n3. On 4\/6, there are two obstacles: a tire and a cone.<br \/>\n4. At 6\/6, there are three obstacles: a tire, cone, and a hurdle.<br \/>\n2\/6 = 1\/3<br \/>\n3\/6 = 1\/2<br \/>\n4\/6 = 2\/3<br \/>\n6\/6 = 1<br \/>\nThe answers are 1\/3, 1\/2, 2\/3, and 1.<\/p>\n<p>Question 4.<br \/>\nPreston works in a bakery where he puts muffins in boxes. He makes the following table to remind himself how many blueberry muffins should go in each box.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-7.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 7\" width=\"352\" height=\"68\" \/><br \/>\nHow many blueberry muffins should Preston put in a box with 36 muffins?<br \/>\n_________<\/p>\n<p>Answer: 12 blueberry muffins<\/p>\n<p>Explanation:<br \/>\nPreston works in a bakery where he puts muffins in boxes. He makes the following table to remind himself how many blueberry muffins should go in each box.<br \/>\nSo, he had 2 blueberry muffins out of 6 muffins.<br \/>\n2\/6 \u00d7 2\/2 = 4\/12. 4 blueberry muffins out of 12 muffins.<br \/>\n2\/6 \u00d7 4\/4 = 8\/24. 8 blueberry muffins out of 24 muffins.<br \/>\n2\/6 \u00d7 6\/6 = 12\/36. 12 blueberry muffins out of 36 muffins.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_122\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 122<\/h3>\n<p>Question 1.<br \/>\nA used bookstore will trade 2 of its books for 3 of yours. If Val brings in 18 books to trade, how many books can she get from the store?<br \/>\nOptions:<br \/>\na. 9<br \/>\nb. 12<br \/>\nc. 18<br \/>\nd. 27<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nA used bookstore will trade 2 of its books for 3 of yours.<br \/>\nIf Val brings in 18 books to trade 2\/3 \u00d7 6\/6 = 12\/18, she gets 12 books.<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 2.<br \/>\nEvery \\(\\frac{1}{2}\\) hour Naomi stretches her neck; every \\(\\frac{1}{3}\\) hour she stretches her legs; and every \\(\\frac{1}{6}\\) hour she stretches her arms. Which parts of her body will Naomi stretch when \\(\\frac{2}{3}\\) of an hour has passed?<br \/>\nOptions:<br \/>\na. neck and legs<br \/>\nb. neck and arms<br \/>\nc. legs and arms<br \/>\nd. none<\/p>\n<p>Answer: legs and arms<\/p>\n<p>Explanation:<br \/>\nSumming \\(\\frac{1}{2}\\)\u2018s only gives integer values giving 1, 2, 3, 4\u2026or<br \/>\ninteger values +\\(\\frac{1}{2}\\) and 0 + \\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\), 1 \\(\\frac{1}{2}\\), 2 \\(\\frac{1}{2}\\)\u2026<br \/>\nSo neck is excluded<br \/>\nEvery \\(\\frac{1}{3}\\): \\(\\frac{1}{3}\\) + \\(\\frac{1}{2}\\) = \\(\\frac{2}{3}\\)<br \/>\nLegs will be stretched at \\(\\frac{2}{3}\\) hour<br \/>\nEvery \\(\\frac{1}{6}\\): \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) = \\(\\frac{4}{6}\\)<br \/>\nDivide top and bottom by 2 giving:<br \/>\n(4 \u00f7 2)\/(6 \u00f7 2) = \\(\\frac{2}{3}\\)<br \/>\nArms will be stretched at \\(\\frac{2}{3}\\) hour.<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 3.<br \/>\nAt the beginning of the year, the Wong family car had been driven 14,539 miles. At the end of the year, their car had been driven 21,844 miles. How many miles did the Wong family drive their car during that year?<br \/>\nOptions:<br \/>\na. 6,315 miles<br \/>\nb. 7,295 miles<br \/>\nc. 7,305 miles<br \/>\nd. 36,383 miles<\/p>\n<p>Answer: 7,305 miles<\/p>\n<p>Explanation:<br \/>\nIf at the beginning of the year, the Wong family\u2019s car had driven 14539 miles and at the end of the year, it had driven 21844 miles, then subtract 14539 from 21844 to determine the difference between the two values, which will tell you how many miles the Wong family drove their car for during the year.<br \/>\n21844 \u2013 14539 = 7305 miles<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 4.<br \/>\nWidget Company made 3,600 widgets in 4 hours. They made the same number of widgets each hour. How many widgets did the company make in one hour?<br \/>\nOptions:<br \/>\na. 80<br \/>\nb. 90<br \/>\nc. 800<br \/>\nd. 900<\/p>\n<p>Answer: 900<\/p>\n<p>Explanation:<br \/>\n3,600 widgets in 4 hours therefore 3,600 \/ 4 for one hour = 900 widgets 900 widgets in one hour.<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 5.<br \/>\nTyler is thinking of a number that is divisible by 2 and by 3. By which of the following numbers must Tyler\u2019s number also be divisible?<br \/>\nOptions:<br \/>\na. 6<br \/>\nb. 8<br \/>\nc. 9<br \/>\nd. 12<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nThe number 6 is divisible by 2 and by 3.<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 6.<br \/>\nJessica drew a circle divided into 8 equal parts. She shaded 6 of the parts. Which fraction is equivalent to the part of the circle that is shaded?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{3}\\)<br \/>\nb. \\(\\frac{3}{4}\\)<br \/>\nc. \\(\\frac{10}{16}\\)<br \/>\nd. \\(\\frac{12}{18}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nJessica drew a circle divided into 8 equal parts. She shaded 6 of the parts.<br \/>\n6\/8 = 3\/4<br \/>\nThus the correct answer is option b.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_123\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 123<\/h3>\n<p><strong>Compare. Write &lt; or &gt; .<\/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-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-8.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 8\" width=\"196\" height=\"123\" \/><\/p>\n<p>Answer:<br \/>\n18 &lt; 610<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-6-Fraction-Equivalence-and-Comparison-img-20.jpg?resize=196%2C123&amp;ssl=1\" alt=\"Go Math Grade 4 Answer Key Chapter 6 Fraction Equivalence and Comparison Common Core Compare Fractions Using Benchmarks img 20\" width=\"196\" height=\"123\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{4}{12}\\) ______ \\(\\frac{4}{6}\\)<\/p>\n<p>Answer:<br \/>\n4\/12 &lt; 4\/6<\/p>\n<p>Explanation:<br \/>\n4\/12 and 4\/6<br \/>\n4\/12 is less than 1\/2<br \/>\n4\/6 is greater than 1\/2<br \/>\nSo, 4\/12 &lt; 4\/6<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{8}\\) ______ \\(\\frac{1}{2}\\)<\/p>\n<p>Answer:<br \/>\n2\/8 &lt; 1\/2<\/p>\n<p>Explanation:<br \/>\n2\/8 and 1\/2<br \/>\n2\/8 is less than 1\/2<br \/>\n1\/2 is equal to 1\/2<br \/>\nSo, 2\/8 &lt; 1\/2<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{3}{5}\\) ______ \\(\\frac{3}{3}\\)<\/p>\n<p>Answer:<br \/>\n3\/5 &lt; 3\/3<\/p>\n<p>Explanation:<br \/>\n3\/5 and 3\/3<br \/>\n3\/5 is greater than 1\/2<br \/>\n3\/3 is equal to 1<br \/>\nSo, 3\/5 &lt; 3\/3<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{7}{8}\\) ______ \\(\\frac{5}{10}\\)<\/p>\n<p>Answer:<br \/>\n7\/8 &gt; 5\/10<\/p>\n<p>Explanation:<br \/>\n7\/8 and 5\/10<br \/>\n7\/8 is greater than 1\/2<br \/>\n5\/10 is equal to 1\/2<br \/>\nSo, 5\/10 &lt; 7\/8<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{9}{12}\\) ______ \\(\\frac{1}{3}\\)<\/p>\n<p>Answer:<br \/>\n9\/12 &gt; 1\/3<\/p>\n<p>Explanation:<br \/>\n9\/12 and 1\/3<br \/>\n9\/ 12 is greater than 1\/2<br \/>\n1\/3 is less than 1\/2<br \/>\n1\/3 &lt; 9\/12<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{4}{6}\\) ______ \\(\\frac{7}{8}\\)<\/p>\n<p>Answer:<br \/>\n4\/6 &lt; 7\/8<\/p>\n<p>Explanation:<br \/>\n4\/6 and 7\/8<br \/>\n4\/6 is greater than 1\/2<br \/>\n7\/8 is closer to 1<br \/>\nSo, 4\/6 &lt; 7\/8<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{4}\\) ______ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer:<br \/>\n2\/4 &lt; 2\/3<\/p>\n<p>Explanation:<br \/>\n2\/4 and 2\/3<br \/>\n2\/4 is equal to 1\/2<br \/>\n2\/3 is greater than 1\/2<br \/>\nSo, 2\/4 &lt; 2\/3<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{5}\\) ______ \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: 35 &gt; 14<\/p>\n<p>Explanation:<br \/>\n3\/5 and 1\/4<br \/>\n3\/5 is greater than 1\/2<br \/>\n1\/4 is less than 1\/2<br \/>\nSo, 1\/4 &lt; 3\/5<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{6}{10}\\) ______ \\(\\frac{2}{5}\\)<\/p>\n<p>Answer:<br \/>\n6\/10 &gt; 2\/5<\/p>\n<p>Explanation:<br \/>\n6\/10 and 2\/5<br \/>\n6\/10 is greater than 1\/2<br \/>\n2\/5 is less than 1\/2<br \/>\nSo, 2\/5 &lt; 6\/10<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{8}\\) ______ \\(\\frac{2}{10}\\)<\/p>\n<p>Answer:<br \/>\n1\/8 &lt; 2\/10<\/p>\n<p>Explanation:<br \/>\n1\/8 and 2\/10<br \/>\n1\/8 is less than 1\/2<br \/>\n2\/10 is less than 1\/2 but greater than 1\/8<br \/>\nSo, 1\/8 &lt; 2\/10<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{2}{3}\\) ______ \\(\\frac{5}{12}\\)<\/p>\n<p>Answer:<br \/>\n2\/3 &gt; 5\/12<\/p>\n<p>Explanation:<br \/>\n2\/3 and 5\/12<br \/>\n2\/3 is greater than 1\/2<br \/>\n5\/12 is less than 1\/2<br \/>\nSo, 5\/12 &lt; 2\/3<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{4}{5}\\) ______ \\(\\frac{5}{6}\\)<\/p>\n<p>Answer:<br \/>\n4\/5&lt; 5\/6<\/p>\n<p>Explanation:<br \/>\n4\/5 and 5\/6<br \/>\n4\/5 is greater than 1\/2<br \/>\n5\/6 is greater than 1\/2<br \/>\nCommon denominator is 30<br \/>\n(4\u00d76)\/(5\u00d76) and (5\u00d75)\/(6\u00d75)<br \/>\n24\/30 and 25\/30<br \/>\n24\/30 &lt; 25\/30<br \/>\nSo, 4\/5 &lt; 5\/6<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{3}{5}\\) ______ \\(\\frac{5}{8}\\)<\/p>\n<p>Answer:<br \/>\n3\/5 &lt; 5\/8<\/p>\n<p>Explanation:<br \/>\n3\/5 and 5\/8<br \/>\n3\/5 is greater than 1\/2<br \/>\n5\/8 is greater than 1\/2<br \/>\nCommon denominator is 40<br \/>\n(3\u00d78)\/(5\u00d78) and (5\u00d75)\/(8\u00d75)<br \/>\n24\/40 and 25\/ 40<br \/>\n24\/40 &lt; 25\/40<br \/>\n3\/5 &lt; 5\/8<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{8}{8}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer:<br \/>\n8\/8 &gt; 3\/4<\/p>\n<p>Explanation:<br \/>\n8\/8 and 3\/4<br \/>\n8\/8 is equal to 1<br \/>\n3\/4 is less than 1<br \/>\n3\/4 &lt; 8\/8<\/p>\n<p>Question 16.<br \/>\nErika ran \\(\\frac{3}{8}\\) mile. Maria ran \\(\\frac{3}{4}\\) mile. Who ran farther?<br \/>\n__________<\/p>\n<p>Answer: Maria<\/p>\n<p>Explanation:<br \/>\nAs per the data,<br \/>\nErika ran 3\/8 mile<br \/>\nMaria ran 3\/4 mile<br \/>\nMultiply the numerator and denominator of 3\/4 with 2<br \/>\n(3\u00d72)\/(4\u00d72) = 6\/8<br \/>\n3\/8 &lt; 6\/8<br \/>\nSo, 3\/8 &lt; 3\/4<br \/>\nSo, Maria ran faster than Erika<\/p>\n<p>Question 17.<br \/>\nCarlos finished \\(\\frac{1}{3}\\) of his art project on Monday. Tyler finished \\(\\frac{1}{2}\\) of his art project on Monday. Who finished more of his art project on Monday?<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nTyler<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nCarlos finished 1\/3 of his art project on Monday<br \/>\nTyler finished \u00bd of his art project on Monday<br \/>\n1\/3 is less than 1\/2<br \/>\n1\/2 is equal to 1\/2<br \/>\nSo, 1\/3 &lt; 1\/2<br \/>\nThen, Tyler finished more of his work on Monday<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_124\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 124<\/h3>\n<p>Question 1.<br \/>\nWhich symbol makes the statement true?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 9\" width=\"65\" height=\"51\" \/><br \/>\nOptions:<br \/>\na. &gt;<br \/>\nb. &lt;<br \/>\nc. =<br \/>\nd. none<\/p>\n<p>Answer:<br \/>\na. &gt;<\/p>\n<p>Explanation:<br \/>\n4\/6 ? 3\/8<br \/>\nBy comparing 4\/6 with 1\/2, 4\/6 &gt; 1\/2<br \/>\nBy comparing 3\/8 with 1\/2, 3\/8 &lt; 1\/2<br \/>\nSo, 4\/6 &gt; 3\/8<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 2.<br \/>\nWhich of the following fractions is greater than \\(\\frac{3}{4}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{5}{6}\\)<br \/>\nc. \\(\\frac{3}{8}\\)<br \/>\nd. \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: b. 5\/6<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nBy comparing the 3\/4 with 1\/2, 3\/4 &gt; 1\/2<br \/>\nSame as above, compare the options with \u00bd<br \/>\na. 1\/4 &lt; 1\/2<br \/>\nb. 5\/6 &gt; 1\/2<br \/>\nc. 3\/8 &lt; 1\/2<br \/>\nd. 2\/3 &gt; 1\/2<br \/>\n5\/6 and 2\/3 are greater than the 1\/2<br \/>\nSo, compare the 5\/6 with 2\/3<br \/>\nThen, 5\/6 &gt; 2\/3<br \/>\nSo, 5\/6 &gt; 3\/4<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 3.<br \/>\nAbigail is putting tiles on a table top. She needs 48 tiles for each of 8 rows. Each row will have 6 white tiles. The rest of the tiles will be purple. How many purple tiles will she need?<br \/>\nOptions:<br \/>\na. 432<br \/>\nb. 384<br \/>\nc. 336<br \/>\nd. 48<\/p>\n<p>Answer:<br \/>\nc. 336<\/p>\n<p>Explanation:<br \/>\nAs per the given data<br \/>\nAbigail is putting tiles on a table top<br \/>\nNumber of rows = 8<br \/>\nShe needs 48 tiles for each of row = 48\u00d78 = 384<br \/>\nNumber of white tiles per row = 6\u00d78 = 48<br \/>\nThe rest of the tiles will be purple = 384 \u2013 48 =336<br \/>\nSo, the total number of purple color tiles = 336<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 4.<br \/>\nEach school bus going on the field trip holds 36 students and 4 adults. There are 6 filled buses on the field trip. How many people are going on the field trip?<br \/>\nOptions:<br \/>\na. 216<br \/>\nb. 240<br \/>\nc. 256<br \/>\nd. 360<\/p>\n<p>Answer:<br \/>\nb. 240<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nEach school bus going on the field trip holds 36 students and 4 adults<br \/>\nThere are 6 filled buses on the field trip<br \/>\n6 x (36 + 4) = 6 x 40 = 240<br \/>\nSo, the total number of people on the field trip = 240<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 5.<br \/>\nNoah wants to display his 72 collector\u2019s flags. He is going to put 6 flags in each row. How many rows of flags will he have in his display?<br \/>\nOptions:<br \/>\na. 12<br \/>\nb. 15<br \/>\nc. 18<br \/>\nd. 21<\/p>\n<p>Answer:<br \/>\na. 12<\/p>\n<p>Explanation:<br \/>\nAs mentioned in the data,<br \/>\nNoah wants to display his 72 collector\u2019s flag<br \/>\nHe is going to put 6 flags in each row = 6x = 72<br \/>\nX = 12<br \/>\nSo, a total 12 number of rows of flags will have in his display.<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 6.<br \/>\nJulian wrote this number pattern on the board:<br \/>\n3, 10, 17, 24, 31, 38.<br \/>\nWhich of the numbers in Julian\u2019s pattern are composite numbers?<br \/>\nOptions:<br \/>\na. 3, 17, 31<br \/>\nb. 10, 24, 38<br \/>\nc. 10, 17, 38<br \/>\nd. 17, 24, 38<\/p>\n<p>Answer:<br \/>\nb. 10, 24, 38<\/p>\n<p>Explanation:<br \/>\nAs per the given information<br \/>\nJulian wrote his number pattern on the board =3, 10, 17, 24, 31, 38<br \/>\nFactors of 3 = 1,3<br \/>\nFactors of 10 = 1,2,5,10<br \/>\nFactors of 17 = 1, 17<br \/>\nFactors of 24 = 1, 2, 3, 4, 6<br \/>\nFactors of 31 = 1, 31<br \/>\nFactors of 38 = 1, 2, 19, 38<br \/>\nSo, the composite number is 10, 24, and 38, which numbers have more than 2 factors.<br \/>\nThus the correct answer is option b.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_125\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 125<\/h3>\n<p><strong>Compare. Write &lt;, &gt;, or =<\/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-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-10.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 10\" width=\"235\" height=\"313\" \/><br \/>\nAnswer:<br \/>\n1\/5 &lt; 2\/10<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-6-Fraction-Equivalence-and-Comparison-img-26.jpg?resize=235%2C313&amp;ssl=1\" alt=\"Go Math Grade 4 Answer Key Chapter 6 Fraction Equivalence and Comparison Common Core Compare Fractions img 26\" width=\"235\" height=\"313\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{1}{5}\\) ______ \\(\\frac{2}{10}\\)<\/p>\n<p>Answer:<br \/>\n1\/5 = 2\/10<\/p>\n<p>Explanation:<br \/>\n1\/5 and 2\/10<br \/>\nThink: 10 is a common denominator<br \/>\n1\/5 = (1\u00d72) \/ (5\u00d72) = 2\/10<br \/>\n2\/10 = 2\/10<br \/>\nSo, 1\/5 = 2\/10<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{4}\\) ______ \\(\\frac{2}{5}\\)<\/p>\n<p>Answer:<br \/>\n2\/4 &gt; 2\/5<\/p>\n<p>Explanation:<br \/>\n2\/4 and 2\/5<br \/>\n20 is a common denominator<br \/>\n2\/4 = (2\u00d75)\/(4\u00d75) = 10\/20<br \/>\n2\/5 = (2\u00d74)\/(5\u00d74) = 8\/20<br \/>\n10\/20 &gt; 8\/20<br \/>\nSo, 2\/4 &gt; 2\/5<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{3}{5}\\) ______ \\(\\frac{7}{10}\\)<\/p>\n<p>Answer:<br \/>\n3\/5 &lt; 7\/10<\/p>\n<p>Explanation:<br \/>\n3\/5 and 7\/10<br \/>\n10 is a common denominator<br \/>\n3\/5 = (3\u00d72)\/(5\u00d72) = 6\/10<br \/>\n7\/10<br \/>\n6\/10 &lt; 7\/10<br \/>\nSo, 3\/5 &lt; 7\/10<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{4}{12}\\) ______ \\(\\frac{1}{6}\\)<\/p>\n<p>Answer:<br \/>\n4\/12 &gt; 1\/6<\/p>\n<p>Explanation:<br \/>\n4\/12 and 1\/6<br \/>\n12 is a common denominator<br \/>\n4\/12<br \/>\n1\/6 = (1\u00d72)\/(6\u00d72) = 2\/12<br \/>\n4\/12 &gt; 2\/12<br \/>\nSo, 4\/12 &gt; 1\/6<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{6}\\) ______ \\(\\frac{1}{3}\\)<\/p>\n<p>Answer:<br \/>\n2\/6 = 1\/3<\/p>\n<p>Explanation:<br \/>\n2\/6 and 1\/3<br \/>\n6 is a common denominator<br \/>\n2\/6<br \/>\n1\/3 = (1\u00d72)\/(3\u00d72) = 2\/6<br \/>\nSo, 2\/6 =2\/6<br \/>\nSo, 2\/6 = 1\/3<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{3}\\) ______ \\(\\frac{2}{4}\\)<\/p>\n<p>Answer:<br \/>\n1\/3 &lt; 2\/4<\/p>\n<p>Explanation:<br \/>\n1\/3 and 2\/4<br \/>\n12 is a common denominator<br \/>\n1\/3 = (1\u00d74)\/(3\u00d74) = 4\/12<br \/>\n2\/4 = (2\u00d73)\/(4\u00d73) = 6\/12<br \/>\n4\/12 &lt; 6\/12<br \/>\nSo, 1\/3 &lt; 2\/4<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{5}\\) ______ \\(\\frac{1}{2}\\).<\/p>\n<p>Answer:<br \/>\n2\/5 &lt; 1\/2<\/p>\n<p>Explanation:<br \/>\n2\/5 and 1\/2<br \/>\n10 is a common denominator<br \/>\n2\/5 = (2\u00d72)\/(5\u00d72) = 4\/10<br \/>\n1\/2 = (1\u00d75)\/(2\u00d75) = 5\/10<br \/>\n4\/10 &lt; 5\/10<br \/>\nSo, 2\/5 &lt; 1\/2<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{4}{8}\\) ______ \\(\\frac{2}{4}\\)<\/p>\n<p>Answer:<br \/>\n4\/8 = 2\/4<\/p>\n<p>Explanation:<br \/>\n4\/8 and 2\/4<br \/>\n8 is a common denominator<br \/>\n4\/8<br \/>\n2\/4 = (2\u00d72)\/(4\u00d72) = 4\/8<br \/>\n2\/4 = 4\/8<br \/>\nSo, 4\/8 = 2\/4<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{7}{12}\\) ______ \\(\\frac{2}{4}\\)<\/p>\n<p>Answer:<br \/>\n7\/12 &lt; 2\/4<\/p>\n<p>Explanation:<br \/>\n7\/12 and 2\/4<br \/>\n12 is a common denominator<br \/>\n7\/12<br \/>\n2\/4 = (2\u00d73)\/(4\u00d73) = 6\/12<br \/>\n7\/12 &lt; 6\/12<br \/>\nSo, 7\/12 &lt; 2\/4<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{8}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer:<br \/>\n1\/8 &lt; 3\/4<\/p>\n<p>Explanation:<br \/>\n1\/8 and 3\/4<br \/>\n8 is a common denominator<br \/>\n1\/8<br \/>\n3\/4 = (3\u00d72)\/(4\u00d72) = 6\/8<br \/>\n1\/8 &lt; 6\/8<br \/>\nSo, 1\/8 &lt; 3\/4<\/p>\n<p>Question 12.<br \/>\nA recipe uses \\(\\frac{2}{3}\\) of flour and \\(\\frac{5}{8}\\) cup of blueberries. Is there more flour or more blueberries in the recipe?<br \/>\nmore _________<\/p>\n<p>Answer: flour<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nA recipe uses 2\/3 of flour and 5\/8 cup of blueberries<br \/>\nThe common denominator is 24<br \/>\n2\/3 = (2\u00d78)\/(3\u00d78) = 16\/24<br \/>\n5\/8 = (5\u00d73)\/(8\u00d73) = 15\/24<br \/>\n16\/24 &gt; 15\/24<br \/>\nSo, 2\/3 &gt; 5\/8<br \/>\nSo, flour is more in the recipe<\/p>\n<p>Question 13.<br \/>\nPeggy completed \\(\\frac{5}{6}\\) of the math homework and Al completed \\(\\frac{4}{5}\\) of the math homework. Did Peggy or Al complete more of the math homework?<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nPeggy completed more work than Al<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nPeggy completed 5\/6 of the math homework<br \/>\nA1 completed 4\/5 of the math homework<br \/>\n30 is a common denominator<br \/>\n5\/6 = (5\u00d75)\/(6\u00d75) = 25\/30<br \/>\n4\/5 = (4\u00d76)\/(5\u00d76) =24\/30<br \/>\n25\/30 &gt; 24\/30<br \/>\nSo, 5\/6 &gt; 4\/5<br \/>\nSo, Peggy completed more work than Al<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_126\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 126<\/h3>\n<p>Question 1.<br \/>\nPedro fills a glass \\(\\frac{2}{4}\\) full with orange juice. Which of the following fractions is greater than \\(\\frac{2}{4}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{8}\\)<br \/>\nb. \\(\\frac{4}{6}\\)<br \/>\nc. \\(\\frac{5}{12}\\)<br \/>\nd. \\(\\frac{1}{3}\\)<\/p>\n<p>Answer:<br \/>\nb. 46<\/p>\n<p>Explanation:<br \/>\n46 &gt; 24<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 2.<br \/>\nToday Ian wants to run less than \\(\\frac{7}{12}\\) mile. Which of the following distances is less than \\(\\frac{7}{12}\\) mile?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{4}\\) mile<br \/>\nb. \\(\\frac{2}{3}\\) mile<br \/>\nc. \\(\\frac{5}{6}\\) mile<br \/>\nd. \\(\\frac{2}{4}\\) mile<\/p>\n<p>Answer:<br \/>\nd. 2\/4 mile<\/p>\n<p>Explanation:<br \/>\n2\/4 is less than 7\/12<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 3.<br \/>\nMs. Davis traveled 372,645 miles last year on business. What is the value of 6 in 372,645?<br \/>\nOptions:<br \/>\na. 6<br \/>\nb. 60<br \/>\nc. 600<br \/>\nd. 6,000<\/p>\n<p>Answer:<br \/>\nc. 600<\/p>\n<p>Explanation:<br \/>\nMs. Davis traveled 372, 645 miles last year on business<br \/>\nThe value of 6 in 372,645 is 600.<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 4.<br \/>\nOne section of an auditorium has 12 rows of seats. Each row has 13 seats. What is the total number of seats in that section?<br \/>\nOptions:<br \/>\na. 25<br \/>\nb. 144<br \/>\nc. 156<br \/>\nd. 169<\/p>\n<p>Answer:<br \/>\nc. 156<\/p>\n<p>Explanation:<br \/>\nFrom the given information<br \/>\nOne section of an auditorium has 12 rows of seats<br \/>\nEach row has 13 seats = 13\u00d712 = 156 seats<br \/>\nSo, the total number of seats in the auditorium = 156 seats<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 5.<br \/>\nSam has 12 black-and-white photos and 18 color photos. He wants to put the photos in equal rows so each row has either black-and-white photos only or color photos only. In how many rows can Sam arrange the photos?<br \/>\nOptions:<br \/>\na. 1, 2, 3, or 6 rows<br \/>\nb. 1, 3, 6, or 9 rows<br \/>\nc. 1, 2, or 4 rows<br \/>\nd. 1, 2, 3, 4, 6, or 9 rows<\/p>\n<p>Answer:<br \/>\na. 1, 2, 3, or 6 rows<\/p>\n<p>Explanation:<br \/>\nAs per the given information<br \/>\nSam has 12 black and white photos 18 color photos<br \/>\nHe wants to put the photos in equal rows<br \/>\nSo each row has either black and white photos only or color photos only<br \/>\nH.C.F of 12 and 18 is 6<br \/>\nRows of 6.<br \/>\n2 rows of black equal 12.<br \/>\n3 rows of white equals 18.<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 6.<br \/>\nThe teacher writes \\(\\frac{10}{12}\\) on the board. He asks students to write the fraction in the simplest form. Who writes the correct answer?<br \/>\nOptions:<br \/>\na. JoAnn writes \\(\\frac{10}{12}\\)<br \/>\nb. Karen writes \\(\\frac{5}{12}\\)<br \/>\nc. Lynn writes \\(\\frac{6}{5}\\)<br \/>\nd. Mark writes \\(\\frac{5}{6}\\)<\/p>\n<p>Answer:<br \/>\nd. Mark writes 56<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nThe teacher writes 10\/12 on the board<br \/>\nHe asks students to write the fraction in simplest form<br \/>\nFor the simplest form of 10\/12, divide the 10\/12 with 2<br \/>\n(10\u00f72)\/(12\u00f72) = 5\/6<br \/>\n5\/6 is the simplest form of 10\/12<br \/>\nSo, Mark writes the correct answer.<br \/>\nThus the correct answer is option d.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_127\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 127<\/h3>\n<p><strong>Write the fractions in order from least to greatest.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{5}{8}, \\frac{2}{12}, \\frac{8}{10}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-11.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 11\" width=\"369\" height=\"234\" \/><\/p>\n<p>Answer:<br \/>\n2\/12, 5\/8, 8\/10<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-6-Fraction-Equivalence-and-Comparison-img-29.jpg?resize=369%2C234&amp;ssl=1\" alt=\"Go Math Grade 4 Answer Key Chapter 6 Fraction Equivalence and Comparison Common Core Compare and Order Fractions img 29\" width=\"369\" height=\"234\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{1}{5}, \\frac{2}{3}, \\frac{5}{8}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1\/5, 5\/8, 2\/3<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4306\" src=\"https:\/\/i1.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image4.jpg?resize=247%2C61&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image4\" width=\"247\" height=\"61\" \/><br \/>\n1\/5, 2\/3, 5\/8<br \/>\n1\/5 is closer to 0<br \/>\n2\/3 is greater than 1\/2<br \/>\n5\/8 greater than 1\/2<br \/>\n1\/5 &lt; 5\/8 &lt; 2\/3<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{2}, \\frac{2}{5}, \\frac{6}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n2\/5, 1\/2, 6\/10<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4307\" src=\"https:\/\/i0.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image5.jpg?resize=273%2C86&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image5\" width=\"273\" height=\"86\" \/><br \/>\n1\/2, 2\/5, 6\/10<br \/>\n1\/2 is equal to 1\/2<br \/>\n2\/5 is less than 1\/2<br \/>\n6\/10 is greater than 1\/2<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{4}{6}, \\frac{7}{12}, \\frac{5}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n5\/10 &lt; 7\/12 &lt; 4\/6<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-4308\" src=\"https:\/\/i2.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image6.jpg?resize=300%2C89&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image6\" width=\"300\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image6.jpg 309w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image6-300x89.jpg 300w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n4\/6, 7\/12, 5\/10<br \/>\n4\/6 is closer to 1<br \/>\n7\/12 is greater than 1\/2<br \/>\n5\/10 is equal to 1\/2<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{4}, \\frac{3}{6}, \\frac{1}{8}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<span id=\"MathJax-Element-831-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-4594\" class=\"math\"><span id=\"MathJax-Span-4595\" class=\"mrow\"><span id=\"MathJax-Span-4596\" class=\"mfrac\"><span id=\"MathJax-Span-4597\" class=\"mn\">1<\/span><span id=\"MathJax-Span-4598\" class=\"mn\">8<\/span><\/span><\/span><\/span><\/span>\u00a0&lt;\u00a0<span id=\"MathJax-Element-832-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-4599\" class=\"math\"><span id=\"MathJax-Span-4600\" class=\"mrow\"><span id=\"MathJax-Span-4601\" class=\"mfrac\"><span id=\"MathJax-Span-4602\" class=\"mn\">1<\/span><span id=\"MathJax-Span-4603\" class=\"mn\">4<\/span><\/span><\/span><\/span><\/span>\u00a0&lt;\u00a0<span id=\"MathJax-Element-833-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-4604\" class=\"math\"><span id=\"MathJax-Span-4605\" class=\"mrow\"><span id=\"MathJax-Span-4606\" class=\"mfrac\"><span id=\"MathJax-Span-4607\" class=\"mn\">3<\/span><span id=\"MathJax-Span-4608\" class=\"mn\">6<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4309\" src=\"https:\/\/i0.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image7.jpg?resize=279%2C102&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image7\" width=\"279\" height=\"102\" \/><br \/>\n1\/4, 3\/6, 1\/8<br \/>\n1\/4 is less than 1\/2<br \/>\n3\/6 is equal to 1\/2<br \/>\n1\/8 is closer to 0<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{8}, \\frac{3}{6}, \\frac{7}{12}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1\/8 &lt; 7\/12 &lt; 3\/6<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4310\" src=\"https:\/\/i1.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image8.jpg?resize=285%2C93&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image8\" width=\"285\" height=\"93\" \/><br \/>\n1\/8, 3\/6, 7\/12<br \/>\n1\/8 is closer to 0<br \/>\n3\/6 is equal to 1\/2<br \/>\n7\/12 is greater than 1\/2<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{8}{100}, \\frac{3}{5}, \\frac{7}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n8\/100 &lt; 3\/5 &lt; 7\/10<\/p>\n<p>Explanation:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-4311\" src=\"https:\/\/i1.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image9.jpg?resize=289%2C101&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image9\" width=\"289\" height=\"101\" \/><br \/>\n8\/100, 3\/5, 7\/10<br \/>\n8\/100 is closer to 0<br \/>\n3\/5 is greater than 1\/2<br \/>\n7\/10 is closer to 1<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{3}{4}, \\frac{7}{8}, \\frac{1}{5}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n15 &lt; 34 &lt; 78<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4312\" src=\"https:\/\/i2.wp.com\/gomathanswerkey.com\/wp-content\/uploads\/2020\/07\/chapter-6-compare-fractions-and-order-fractions-image10.jpg?resize=297%2C94&amp;ssl=1\" alt=\"chapter 6 - compare fractions and order fractions- image10\" width=\"297\" height=\"94\" \/><br \/>\n3\/4, 7\/8, 1\/5<br \/>\n3\/4 is greater than 1\/2<br \/>\n7\/8 is closer to 1<br \/>\n1\/5 is closer to 0<\/p>\n<p>Question 9.<br \/>\nAmy\u2019s math notebook weighs \\(\\frac{1}{2}\\) pound, her science notebook weighs \\(\\frac{7}{8}\\) pound, and her history notebook weighs \\(\\frac{3}{4}\\) pound. What are the weights in order from lightest to heaviest?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n12 pound, 34 pound, 78 pound<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nAmy\u2019s math notebook weighs 1\/2 pound<br \/>\nScience notebook weighs 7\/8 pound<br \/>\nHistory notebook weighs 3\/4 pound<br \/>\n7\/8 is closer to 1<br \/>\n3\/4 is greater than 1\/2<br \/>\n1\/2 &lt; 3\/4 &lt; 7\/8<br \/>\nSo, Amy\u2019s math notebook weight &lt; history notebook weight &lt; science notebook<\/p>\n<p>Question 10.<br \/>\nCarl has three picture frames. The thicknesses of the frames are \\(\\frac{4}{5}\\) inch, \\(\\frac{3}{12}\\) inch, and \\(\\frac{5}{6}\\) inch. What are the thicknesses in order from least to greatest?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3\/12 inch, 4\/5 inch, 5\/6 inch<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nCarl has three picture frames<br \/>\nThe thickness of the frames are 4\/5 inch, 3\/12 inch, 5\/6 inch<br \/>\n4\/5 is greater than 1\/2<br \/>\n3\/12 is less than 1\/2<br \/>\n5\/6 is closer to 1<br \/>\n3\/12 &lt; 4\/5 &lt; 5\/6<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_128\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 128<\/h3>\n<p>Question 1.<br \/>\nJuan\u2019s three math quizzes this week took him \\(\\frac{1}{3}\\) hour, \\(\\frac{4}{6}\\) hour, and \\(\\frac{1}{5}\\) hour to complete. Which list shows the lengths of time in order from least to greatest?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{3} hour, \\frac{4}{6} hour, \\frac{1}{5} hour\\)<br \/>\nb. \\(\\frac{1}{5} hour, \\frac{1}{3} hour, \\frac{4}{6} hour\\)<br \/>\nc. \\(\\frac{1}{3} hour, \\frac{1}{5} hour, \\frac{4}{6} hour\\)<br \/>\nd. \\(\\frac{4}{6} hour, \\frac{1}{3} hour, \\frac{1}{5} hour\\)<\/p>\n<p>Answer:<br \/>\nb. 1\/5 hour, 1\/3 hour, 4\/6 hour<\/p>\n<p>Explanation:<br \/>\nFrom the given information<br \/>\nJuan\u2019s three math quizzes this week took him 1\/3 hour, 4\/6 hour, and 1\/5 hour<br \/>\nCompare 1\/3 and 1\/2<br \/>\n1\/3 is less than 1\/2<br \/>\n4\/6 is greater than 1\/2<br \/>\n1\/5 is closer to 0<br \/>\n1\/5 &lt; 1\/3 &lt; 4\/6<br \/>\nSo, Juan\u2019s math quizzes times from least to greatest is 1\/5, 1\/3, 4\/6<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 2.<br \/>\nOn three days last week, Maria ran \\(\\frac{3}{4}\\) mile, \\(\\frac{7}{8}\\) mile, and \\(\\frac{3}{5}\\) mile. What are the distances in order from least to greatest?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{4} mile, \\frac{7}{8} mile, \\frac{3}{5} mile\\)<br \/>\nb. \\(\\frac{3}{5} mile, \\frac{3}{4} mile, \\frac{7}{8} mile\\)<br \/>\nc. \\(\\frac{7}{8} mile, \\frac{3}{4} mile, \\frac{3}{5} mile\\)<br \/>\nd. \\(\\frac{7}{8} mile, \\frac{3}{5} mile, \\frac{3}{4} mile\\)<\/p>\n<p>Answer:<br \/>\nb. 3\/5 mile, 3\/4 mile, 7\/8 mile<\/p>\n<p>Explanation:<br \/>\nAs per the information<br \/>\nOn three days last week, Maria ran 3\/4 mile, 7\/8 mile, and 3\/5 mile<br \/>\n3\/4 is greater than 1\/2<br \/>\n7\/8 is closer to 1<br \/>\n3\/5 is greater than 1\/2<br \/>\nCompare 3\/5 and 3\/4<br \/>\n3\/4 is greater than 3\/5<br \/>\nSo, 3\/5 &lt; 3\/4 &lt; 7\/8<br \/>\nDistance from least to greatest is 3\/5, 3\/4 , 7\/8<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 3.<br \/>\nSantiago collects 435 cents in nickels. How many nickels does he collect?<br \/>\nOptions:<br \/>\na. 58<br \/>\nb. 78<br \/>\nc. 85<br \/>\nd. 87<\/p>\n<p>Answer:<br \/>\nd. 87<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nSantiago collects 435 cents in nickels<br \/>\n1 nickel worth is 5 cents<br \/>\nThen, nickels per 435 cents = 435\/5 = 87<br \/>\nSo, Santiago collects 87 nickels.<br \/>\nThus the correct answer is option d.<\/p>\n<p>Question 4.<br \/>\nLisa has three classes that each last 50 minutes. What is the total number of minutes the three classes last?<br \/>\nOptions:<br \/>\na. 15 minutes<br \/>\nb. 150 minutes<br \/>\nc. 153 minutes<br \/>\nd. 156 minutes<\/p>\n<p>Answer:<br \/>\nb. 150 minutes<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nLisa has three classes that each last 50 minutes<br \/>\nThe total number of minutes the three classes last = 3\u00d750 =150 minutes.<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 5.<br \/>\nSome students were asked to write a composite number. Which student did NOT write a composite number?<br \/>\nOptions:<br \/>\na. Alicia wrote 2.<br \/>\nb. Bob wrote 9.<br \/>\nc. Arianna wrote 15.<br \/>\nd. Daniel wrote 21.<\/p>\n<p>Answer:<br \/>\na. Alicia wrote 2.<\/p>\n<p>Explanation:<br \/>\nAs per the information<br \/>\nSome students were asked to write a composite number<br \/>\na. Alicia wrote 2<br \/>\nFactors of 2 is 1 and 2<br \/>\nb. Bob wrote 9<br \/>\nFactors of 9 is 1, 3, 9<br \/>\nc. Arianna wrote 15<br \/>\nFactors of 15 is 1, 3, 5, 15<br \/>\nd. Daniel wrote 21<br \/>\nFactors of 21 is 1,3,7,21<br \/>\nSo, Alicia did not write a composite number.<br \/>\nThus the correct answer is option a.<\/p>\n<p>Question 6.<br \/>\nMrs. Carmel serves \\(\\frac{6}{8}\\) of a loaf of bread with dinner. Which fraction is equivalent to \\(\\frac{6}{8}\\) ?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{4}\\)<br \/>\nb. \\(\\frac{9}{16}\\)<br \/>\nc. \\(\\frac{2}{3}\\)<br \/>\nd. \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: d. 3\/4<\/p>\n<p>Explanation:<br \/>\nAs per the given information<br \/>\nMrs. Carmel serves 6\/8 of a loaf of bread with dinner<br \/>\nTo find the equivalent fraction of 6\/8, simplify the 6\/8 by dividing with the 2<br \/>\n(6\u00f72)\/(8\u00f72) = 3\/4<br \/>\nSo, the equivalent fraction of 6\/8 is 3\/4<br \/>\nThus the correct answer is option d.<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_129\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 129<\/h3>\n<p><em><strong>Lesson 6.1<\/strong><\/em><\/p>\n<p><strong>Tell whether the fractions are equivalent. Write = or \u2260.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{5}{10}\\) ______ \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{5}{10}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nDivide \\(\\frac{5}{10}\\) by 2<br \/>\n\\(\\frac{5}{10}\\) \u00f7 5 = \\(\\frac{1}{2}\\)<br \/>\nSo, \\(\\frac{5}{10}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{3}\\) ______ \\(\\frac{3}{6}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) \u2260 \\(\\frac{3}{6}\\)<\/p>\n<p>Explanation:<br \/>\nThe fraction \\(\\frac{2}{3}\\) is not equal to \\(\\frac{3}{6}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{6}{8}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nDivide \\(\\frac{6}{8}\\) by 2.<br \/>\n\\(\\frac{6}{8}\\) \u00f7 2 = \\(\\frac{3}{4}\\)<br \/>\nSo, \\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{7}{12}\\) ______ \\(\\frac{4}{6}\\)<\/p>\n<p>Answer: \\(\\frac{7}{12}\\) \u2260 \\(\\frac{4}{6}\\)<\/p>\n<p>Explanation:<br \/>\nThe fraction \\(\\frac{7}{12}\\) is not equal to \\(\\frac{4}{6}\\).<\/p>\n<p><strong><em>Lesson 6.2<\/em><\/strong><\/p>\n<p>Write two equivalent fractions for each.<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{2}{3}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 4\/6 and 8\/12<\/p>\n<p>Explanation:<br \/>\n2\/3<br \/>\n(2\/3) x (2\/2) = 4\/6<br \/>\n(2\/3) x (4\/4) = 8\/12<br \/>\nThen, the equivalent fractions of 2\/3 = 4\/6 and 8\/12<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{5}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 1\/2<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{10}\\) \u00d7 2\/2 = 10\/20<br \/>\n\\(\\frac{5}{10}\\) \u00f7 5 = 1\/2<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{4}{12}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 1\/3<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{12}\\) \u00f7 3 = 1\/3<br \/>\n\\(\\frac{4}{12}\\) \u00d7 3\/3 = 4\/12<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{4}{5}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n8\/10 and 80\/100<\/p>\n<p>Explanation:<br \/>\n4\/5<br \/>\n(4\/5) x (2\/2) = 8\/10<br \/>\n(4\/5) x (20\/20) = 80\/100<br \/>\nThen, the equivalent fractions of 4\/5 = 8\/10 and 80\/100<\/p>\n<p><em><strong>Lesson 6.3<\/strong><\/em><\/p>\n<p><strong>Write the fraction in simplest form.<\/strong><\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{12}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n1\/2<\/p>\n<p>Explanation:<br \/>\n6\/12 in simplest form<br \/>\nDivide the 6\/12 with 6<br \/>\n(6\/6)\/(12\/6) = 1\/2<br \/>\nSo, the simplest form of 6\/12 is 1\/2<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{2}{10}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n1\/5<\/p>\n<p>Explanation:<br \/>\n2\/10 in simplest form<br \/>\nDivide the 2\/10 with 2<br \/>\n(2\/2)\/(10\/2) = 1\/5<br \/>\nSo, the simplest form of 2\/10 is 1\/5<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{6}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2\/3<\/p>\n<p>Explanation:<br \/>\n4\/6 in simplest form<br \/>\nDivide the 4\/6 with 2<br \/>\n(4\/2)\/(6\/2) = 2\/3<br \/>\nSo, the simplest form of 4\/6 is 2\/3<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{3}{12}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1\/4<\/p>\n<p>Explanation:<br \/>\n3\/12 in the simplest form<br \/>\nDivide 3\/12 with 3.<br \/>\n3\/12 \u00f7 3 = 1\/4<br \/>\nSo the simplest form of \\(\\frac{3}{12}\\) is \\(\\frac{1}{4}\\)<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{6}{10}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 3\/5<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{10}\\) in the simplest form.<br \/>\nDivide the \\(\\frac{6}{10}\\) with 2<br \/>\n\\(\\frac{6}{10}\\) \u00f7 2 = \\(\\frac{3}{5}\\)<\/p>\n<p><em><strong>Lesson 6.4<\/strong><\/em><\/p>\n<p><strong>Write the pair of fractions as a pair of fractions with a common denominator.<\/strong><\/p>\n<p>Question 14.<br \/>\n\\(\\frac{2}{3} \\text { and } \\frac{5}{6}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 8\/12 and 10\/12<\/p>\n<p>Explanation:<br \/>\nThe common denominator of \\(\\frac{2}{3} \\text { and } \\frac{5}{6}\\)<br \/>\nList the multiples of 3 = 3, 6, 9, 12, 15, 18, 21,&#8230;.<br \/>\nList the multiples of 6 = 6, 12, 18, 24, 30, 36, \u2026.<br \/>\nThen, the common denominator of \\(\\frac{2}{3} \\text { and } \\frac{5}{6}\\) is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nSo, common pair of fractions = 8\/12 and 10\/12<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{3}{5} \\text { and } \\frac{1}{2}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 6\/10 and 5\/10<\/p>\n<p>Explanation:<br \/>\nCommon denominator of \\(\\frac{3}{5} \\text { and } \\frac{1}{2}\\)<br \/>\nList the multiples of 5 = 5, 10, 15, 20, 25, 30, \u2026..<br \/>\nList the multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20&#8230;.<br \/>\nThen, the common denominator of \\(\\frac{3}{5} \\text { and } \\frac{1}{2}\\) is 10.<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nSo, the common pair of fractions = 6\/10 and 5\/10.<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{1}{4} \\text { and } \\frac{5}{12}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 3\/12 and 5\/12<\/p>\n<p>Explanation:<br \/>\nThe common denominator of \\(\\frac{1}{4} \\text { and } \\frac{5}{12}\\)<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, 24, . . .<br \/>\nList the multiples of 12 = 12, 24, 36, 48&#8230;<br \/>\nThen, the common denominator of \\(\\frac{1}{4} \\text { and } \\frac{5}{12}\\) is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nSo, common pair of fractions = 3\/12 and 5\/12.<\/p>\n<p>Question 17.<br \/>\n\\(\\frac{7}{8} \\text { and } \\frac{3}{4}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 7\/8 and 6\/8<\/p>\n<p>Explanation:<br \/>\nCommon denominator of \\(\\frac{7}{8} \\text { and } \\frac{3}{4}\\)<br \/>\nList the multiples of 8 = 8, 16, 24, 32, . . . .<br \/>\nList the multiples of 4 = 4, 8, 12, 16,&#8230;.<br \/>\nThen, the common denominator of \\(\\frac{7}{8} \\text { and } \\frac{3}{4}\\) is 8<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nSo, the common pair of fractions = 7\/8 and 6\/8<\/p>\n<p>Question 18.<br \/>\n\\(\\frac{3}{10} \\text { and } \\frac{1}{5}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: \\(\\frac{3}{10} \\text { and } \\frac{2}{10}\\)<\/p>\n<p>Explanation:<br \/>\nCommon denominator of \\(\\frac{3}{10} \\text { and } \\frac{1}{5}\\)<br \/>\nList the multiples of 5 = 5, 10, 15, 20, 25, 30, \u2026..<br \/>\nList the multiples of 10 = 10, 20, 30, 40, 50 \u2026.<br \/>\nThen, the common denominator of \\(\\frac{3}{10} \\text { and } \\frac{1}{5}\\) is 10<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nSo, the common pair of fractions = \\(\\frac{3}{10} \\text { and } \\frac{2}{10}\\)<\/p>\n<p>Question 19.<br \/>\n\\(\\frac{3}{4} \\text { and } \\frac{1}{3}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 9\/12 and 4\/12<\/p>\n<p>Explanation:<br \/>\nThe common denominator of \\(\\frac{3}{4} \\text { and } \\frac{1}{3}\\)<br \/>\nList the multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, \u2026.<br \/>\nList the multiples of 4 = 4, 8, 12, 16, 20, 24, . . .<br \/>\nThen, the common denominator of \\(\\frac{3}{4} \\text { and } \\frac{1}{3}\\) is 12<br \/>\nFor the Common pair of fractions, multiply the common denominator with fractions<br \/>\nSo, the common pair of fractions = 9\/12 and 4\/12<\/p>\n<h3><a id=\"Common_Core_Fraction_Equivalence_and_Comparison_Page_No_130\"><\/a>Common Core &#8211; Fraction Equivalence and Comparison &#8211; Page No. 130<\/h3>\n<p><em><strong>Lesson 6.5<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nMr. Renner is decorating a bulletin board with groups of shapes. Each group has 3 shapes, and \\(\\frac{2}{3}\\) of the shapes are snowflakes. If Mr. Renner is using 4 groups of shapes, how many snowflakes will he need? Complete the table to find the fraction of the shapes for each number of group that are<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Homework-Practice-FL-Chapter-6-Fraction-Equivalence-and-Comparison-img-12.jpg\" alt=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison Common Core - Fraction Equivalence and Comparison img 12\" width=\"392\" height=\"120\" \/><br \/>\nHow many snowflake shapes will Mr. Renner use?<br \/>\n_______ snowflakes shapes<\/p>\n<p>Answer: 8 snowflakes shapes<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nMr. Renner is decorating a bulletin board with groups of shapes.<br \/>\nEach group has 3 shapes, and \\(\\frac{2}{3}\\) of the shapes are snowflakes.<br \/>\nThere are 4 groups and in every group, there are 2 snowflakes so in total there are 8. because 4 \u00d7 2=8<br \/>\nMr. Renner uses 8 snowflakes shapes.<\/p>\n<p>Question 2.<br \/>\nNell made a pizza. She cut the pizza into fourths. Then she cut each fourth into four pieces. Nell and her friends ate 6 of the smaller pieces of the pizza.<br \/>\nWhat fraction of the pizza did Nell and her friends eat?<br \/>\nWhat fraction of the pizza did Nell and her friends NOT eat?<\/p>\n<p>Answer:<br \/>\nokay so four is slice, and then do it again. the answer is at the bottom,<\/p>\n<p>pizza: 16 pieces<br \/>\nNell and her friends ate 6 smaller pizza<br \/>\n3\/8 is the answer.<\/p>\n<p><em><strong>Lesson 6.6 &#8211; 6.7<\/strong><\/em><\/p>\n<p><strong>Compare. Write &lt;,&gt;, or =.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{6}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{2}{6}\\) &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{6}\\) = \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{1}{3}\\) is less than \\(\\frac{3}{4}\\)<br \/>\nSo, \\(\\frac{2}{6}\\) &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{6}{8}\\) ______ \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\) &gt; \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<br \/>\n\\(\\frac{3}{4}\\) is greater than \\(\\frac{1}{4}\\)<br \/>\nSo, \\(\\frac{6}{8}\\) &gt; \\(\\frac{1}{4}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{5}{6}\\) ______ \\(\\frac{2}{4}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{4}\\) = \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{5}{6}\\) is greater than \\(\\frac{1}{2}\\)<br \/>\nSo, \\(\\frac{5}{6}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{3}\\) ______ \\(\\frac{4}{12}\\)<\/p>\n<p>Answer: \\(\\frac{1}{3}\\) = \\(\\frac{4}{12}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{12}\\) = \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{1}{3}\\) = \\(\\frac{4}{12}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{6}\\) ______ \\(\\frac{1}{8}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\) &gt; \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the fractions \\(\\frac{1}{6}\\) and \\(\\frac{1}{8}\\)<br \/>\nHere the numerators are same so we have to compare the denominators.<br \/>\nThe denominator with the smallest number will be the greatest fraction.<br \/>\n\\(\\frac{1}{6}\\) is greater than \\(\\frac{1}{8}\\)<br \/>\nSo, \\(\\frac{1}{6}\\) &gt; \\(\\frac{1}{8}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{3}\\) ______ \\(\\frac{4}{6}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) = \\(\\frac{4}{6}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{6}\\) \u00f7 2 = \\(\\frac{2}{3}\\)<br \/>\n\\(\\frac{2}{3}\\) = \\(\\frac{2}{3}\\)<br \/>\nSo, \\(\\frac{2}{3}\\) = \\(\\frac{4}{6}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{10}\\) ______ \\(\\frac{3}{12}\\)<\/p>\n<p>Answer: \\(\\frac{3}{10}\\) &gt; \\(\\frac{3}{12}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the fractions \\(\\frac{3}{10}\\) and \\(\\frac{3}{12}\\)<br \/>\nHere the numerators are same so we have to compare the denominators.<br \/>\nThe denominator with the smallest number will be the greatest fraction.<br \/>\nThus \\(\\frac{3}{10}\\) &gt; \\(\\frac{3}{12}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{7}{8}\\) ______ \\(\\frac{4}{4}\\)<\/p>\n<p>Answer: \\(\\frac{7}{8}\\) &lt; \\(\\frac{4}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{4}\\) = 1<br \/>\n1 is greater than \\(\\frac{7}{8}\\)<br \/>\nThus \\(\\frac{7}{8}\\) &lt; \\(\\frac{4}{4}\\)<\/p>\n<p><em><strong>Lesson 6.8<\/strong><\/em><\/p>\n<p><strong>Write the fractions in order from least to greatest.<\/strong><\/p>\n<p>Question 12.<br \/>\n\\(\\frac{1}{2}, \\frac{1}{4}, \\frac{5}{8}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: 1\/4, 5\/8 and 1\/2<\/p>\n<p>Explanation:<br \/>\n1\/4 \u00d7 2\/2 = 2\/8<br \/>\n5\/8 \u00d7 1\/1 = 5\/8<br \/>\n1\/2 \u00d7 4\/4 = 4\/8<br \/>\nCompare the numerators of the above fractions.<br \/>\nThe numerator with the largest number will be the greatest fraction.<br \/>\nThe fraction from least to greatest is 1\/4, 5\/8 and 1\/2<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{2}{3}, \\frac{1}{6}, \\frac{9}{10}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: 1\/6, 2\/3 and 9\/10<\/p>\n<p>Explanation:<br \/>\nGiven the fractions \\(\\frac{2}{3}, \\frac{1}{6}, \\frac{9}{10}\\)<br \/>\n2\/3 \u00d7 10\/10 = 20\/30<br \/>\n1\/6 \u00d7 5\/5 = 5\/30<br \/>\n9\/10 \u00d7 3\/3 = 27\/30<br \/>\nCompare the numerators of the above fractions.<br \/>\nThe numerator with the largest number will be the greatest fraction.<br \/>\nThe fraction from least to greatest is 1\/6, 2\/3 and 9\/10.<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{3}{5}, \\frac{3}{4}, \\frac{3}{8}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{3}{8}, \\frac{3}{5}, \\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nGiven the fractions \\(\\frac{3}{5}, \\frac{3}{4}, \\frac{3}{8}\\)<br \/>\nHere the numerators are the same so we have to compare the denominators.<br \/>\nThe denominator with the smallest number will be the greatest fraction.<br \/>\nThus the fractions from least to greatest are \\(\\frac{3}{8}, \\frac{3}{5}, \\frac{3}{4}\\).<\/p>\n<h3><em>Conclusion:<\/em><\/h3>\n<p>I think the explained answers provided in this chapter are important for all 4th-grade students. Make sure to share these pdf links with our friends and assist them while practicing mathematical concepts. In case, do you feel anything is missing in Homework Practice FL, you can refer to the <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-4-answer-key-chapter-6-fraction-equivalence-and-comparison\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 4 Answer Key Chapter 6 Fraction Equivalence and Comparison<\/a>. Try solving these chapter problems and enhance your subject knowledge.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Free PDF Download links of Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison are prevailing here for free. Simply refer to them once and make use of the Go Math Grade 4 Chapter 6 Fraction Equivalence and Comparison Answer Key Homework Practice FL to practice all questions covered &#8230; <a title=\"Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-homework-practice-fl-chapter-6-fraction-equivalence-and-comparison\/\" aria-label=\"More on Go Math Grade 4 Answer Key Homework Practice FL Chapter 6 Fraction Equivalence and Comparison\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8884,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-4-chapter-7-add-and-subtract-fractions-pages-131-153-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2837"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=2837"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2837\/revisions"}],"predecessor-version":[{"id":92829,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2837\/revisions\/92829"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8884"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=2837"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=2837"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=2837"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}