{"id":4339,"date":"2022-03-25T09:18:19","date_gmt":"2022-03-25T03:48:19","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=4339"},"modified":"2022-04-07T12:26:25","modified_gmt":"2022-04-07T06:56:25","slug":"go-math-grade-5-answer-key-chapter-7-multiply-fractions","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-7-multiply-fractions\/","title":{"rendered":"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions"},"content":{"rendered":"<p>If you are looking for Chapter 7 Go Math Grade 5 Answer Key then you have reached the right destination.\u00a0 We have mentioned <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-5-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 5 Answer Key<\/a> Chapter 7 Multiply Fractions with straight forward explanation for all the Problems. Parents who wanted to give their kids enough practice on concepts of Multiplying Fractions can give them the Go Math 5th Grade Answer Key Chapter 7 Multiply Fractions. Enhance your Math Skills by practicing from the HMH Go Math Grade 5 Answer Key Ch 7 Multiply Fractions.<\/p>\n<h2>Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions<\/h2>\n<p>Do you feel the concept of Multiplying Fractions difficult? Not anymore with our Go Math Answer Key Grade 5 Chapter 7 Multiply Fractions as they have concepts explained in detail. Start learning the basics involved right from the basic level with our 5th Grade Go Math Answer Key Ch 7 Multiply Fractions. Test your preparation level by answering the questions at the end of the Go Math Grade 5 Answer Key for Multiply Fractions. By doing so, you can have an estimation of your preparation standards.<\/p>\n<p><strong>Chapter 7 &#8211; Lesson 1: Find Part of a Group<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_293\">Share and Show &#8211; Page No. 293<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_294\">Problem Solving &#8211; Page No. 294<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 2: Investigate \u2022 Multiply Fractions and Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_297\">Share and Show &#8211; Page No. 297<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_298\">Problem Solving &#8211; Page No. 298<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 3: Fraction and Whole Number Multiplication<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_301\">Share and Show &#8211; Page No. 301<\/a><\/li>\n<li><a href=\"#UNLOCK_the_Problem_Page_No_302\">UNLOCK the Problem &#8211; Page No. 302<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 4: Investigate \u2022 Multiply Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_304\">Share and Show &#8211; Page No. 304<\/a><\/li>\n<li><a href=\"#Share_and_Show_Page_No_305\">Share and Show &#8211; Page No. 305<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_306\">Problem Solving &#8211; Page No. 306<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 5: Compare Fraction Factors and Products<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_309\">Share and Show &#8211; Page No. 309<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_310\">Problem Solving &#8211; Page No. 310<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 6: Fraction Multiplication<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_313\">Share and Show &#8211; Page No. 313<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_314\">Problem Solving &#8211; Page No. 314<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_315\">Mid-Chapter Checkpoint &#8211; Page No. 315<\/a><\/li>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_316\">Mid-Chapter Checkpoint &#8211; Page No. 316<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 7: Investigate \u2022 Area and Mixed Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_319\">Share and Show &#8211; Page No. 319<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_320\">Problem Solving &#8211; Page No. 320<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 8: Compare Mixed Number Factors and Products<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_323\">Share and Show &#8211; Page No. 323<\/a><\/li>\n<li><a href=\"#Problem_Solving_Page_No_324\">Problem Solving &#8211; Page No. 324<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 9: Multiply Mixed Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_327\">Share and Show &#8211; Page No. 327<\/a><\/li>\n<li><a href=\"#Share_and_Show_Connect_to_Health_Page_No_328\">Share and Show Connect to health &#8211; Page No. 328<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Lesson 10: Problem Solving \u2022 Find Unknown Lengths<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_331\">Share and Show &#8211; Page No. 331<\/a><\/li>\n<li><a href=\"#On_Your_Own_Page_No_332\">On Your Own &#8211; Page No. 332<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 7 &#8211; Chapter 7 Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Chapter_Review_Test_Page_No_333\">Chapter Review\/Test &#8211; Page No. 333<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_334\">Chapter Review\/Test &#8211; Page No. 334<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_335\">Chapter Review\/Test &#8211; Page No. 335<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_336\">Chapter Review\/Test &#8211; Page No. 336<\/a><\/li>\n<\/ul>\n<h3><a id=\"Share_and_Show_Page_No_293\"><\/a>Share and Show &#8211; Page No. 293<\/h3>\n<p>Question 1.<br \/>\nComplete the model to solve.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-1.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 1\" width=\"48\" height=\"196\" \/><br \/>\n\\(\\frac{7}{8}\\) of 16, or \\(\\frac{7}{8}\\) \u00d7 16<br \/>\nHow many rows of counters are there?<br \/>\n_____ rows<\/p>\n<p>Answer: 8<br \/>\nBy seeing the above figure we can say that the number of counters is 8 rows.<\/p>\n<p>Question 1.<br \/>\nHow many counters are in each row?<br \/>\n_____ counters<\/p>\n<p>Answer: 2<br \/>\nThere are 2 counters in each row.<\/p>\n<p>Question 1.<br \/>\nCircle ____ rows to solve the problem.<br \/>\n_____ rows<\/p>\n<p>Answer: 7<\/p>\n<p>\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<br \/>\n\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<br \/>\n\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<strong><br \/>\n<\/strong>\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<strong><br \/>\n<\/strong>\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<strong><br \/>\n<\/strong>\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<strong><br \/>\n<\/strong>\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<br \/>\n\u2022 \u2022 \u2022 \u2022 \u2022 \u2022 \u2022<\/p>\n<p>Question 1.<br \/>\nHow many counters are circled?<br \/>\n\\(\\frac{7}{8}\\) of 16=<br \/>\nor \\(\\frac{7}{8}\\) \u00d7 16 =<br \/>\n_____ counters<\/p>\n<p>Answer: 14<br \/>\n\\(\\frac{7}{8}\\) \u00d7 16<br \/>\n8 divides 16 two times.<br \/>\nSo, \\(\\frac{7}{8}\\) \u00d7 16 = 7 \u00d7 2 = 14<br \/>\nTherefore 14 counters are circled.<\/p>\n<p><strong>Use a model to solve.<\/strong><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 18 = _____<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 18<br \/>\n3 divides 18 six times.<br \/>\n2 \u00d7 6 = 12<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{5}\\) \u00d7 15 = _____<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{5}\\) \u00d7 15<br \/>\n5 divides 15 three times.<br \/>\n2 \u00d7 3 = 6<br \/>\nThus \\(\\frac{2}{5}\\) \u00d7 15 = 6<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6 = _____<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6<br \/>\n3 divides 6 two times.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6<br \/>\n2 \u00d7 2 = 4<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6 = 4<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Use a model to solve.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{5}{8}\\) \u00d7 24 = _____<\/p>\n<p>Answer: 15<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{8}\\) \u00d7 24<br \/>\n8 divides 24 three times.<br \/>\n5 \u00d7 3 = 15<br \/>\n\\(\\frac{5}{8}\\) \u00d7 24 = 15<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{3}{4}\\) \u00d7 24 = _____<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{4}\\) \u00d7 24<br \/>\n4 divides 24 six times.<br \/>\n\\(\\frac{3}{4}\\) \u00d7 24 = 3 \u00d7 6 = 18<br \/>\nSo, \\(\\frac{3}{4}\\) \u00d7 24 = 18<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{4}{7}\\) \u00d7 21 = _____<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{7}\\) \u00d7 21<br \/>\n7 divides 21 three times.<br \/>\n4 \u00d7 3 = 12<br \/>\n\\(\\frac{4}{7}\\) \u00d7 21 = 12<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{9}\\) \u00d7 27 = _____<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{9}\\) \u00d7 27<br \/>\n9 divides 27 three times.<br \/>\n2 \u00d7 3 = 6<br \/>\n\\(\\frac{2}{9}\\) \u00d7 27 = 6<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 20 = _____<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{5}\\) \u00d7 20<br \/>\n5 divides 20 four times.<br \/>\n3 \u00d7 4 = 12<br \/>\nThus \\(\\frac{3}{5}\\) \u00d7 20 = 12<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{7}{11}\\) \u00d7 22 = _____<\/p>\n<p>Answer: 14<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{11}\\) \u00d7 22<br \/>\n11 divides 22 two times.<br \/>\n7 \u00d7 2 = 14<br \/>\n\\(\\frac{7}{11}\\) \u00d7 22 = 14<\/p>\n<h3><a id=\"Problem_Solving_Page_No_294\"><\/a>Problem Solving &#8211; Page No. 294<\/h3>\n<p><strong>Use the table for 11-12.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-2.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 2\" width=\"229\" height=\"130\" \/><\/p>\n<p>Question 11.<br \/>\nFour-fifths of Zack\u2019s stamps have pictures of animals. How many stamps with pictures of animals does Zack have? Use a model to solve.<br \/>\n_____ stamps<\/p>\n<p>Answer: 24 stamps<\/p>\n<p>Explanation:<br \/>\nGiven that, Four-fifths of Zack\u2019s stamps have pictures of animals.<br \/>\nNumber of stamps that Zack collected is 30<br \/>\n30 \u00d7 \\(\\frac{4}{5}\\)<br \/>\n5 divides 30 six times.<br \/>\n6 \u00d7 4 = 24<br \/>\nZack has 24 stamps with pictures of animals.<\/p>\n<p>Question 12.<br \/>\nZack, Teri, and Paco combined the foreign stamps from their collections for a stamp show. Out of their collections, \\(\\frac{3}{10}\\) of Zack\u2019s stamps, \\(\\frac{5}{6}\\) of Teri\u2019s stamps, and \\(\\frac{3}{8}\\) of Paco\u2019s stamps were from foreign countries. How many stamps were in their display? Explain how you solved the problem.<br \/>\n_____ stamps<\/p>\n<p>Answer: 33 stamps<\/p>\n<p>Explanation:<br \/>\nZack, Teri, and Paco combined the foreign stamps from their collections for a stamp show.<br \/>\nOut of their collections, \\(\\frac{3}{10}\\) of Zack\u2019s stamps, \\(\\frac{5}{6}\\) of Teri\u2019s stamps, and \\(\\frac{3}{8}\\) of Paco\u2019s stamps were from foreign countries.<br \/>\nNumber of stamps Zack collected = 30<br \/>\nNumber of stamps Teri collected = 18<br \/>\nNumber of stamps Paco collected = 24<br \/>\n\\(\\frac{3}{10}\\) of 30<br \/>\n\\(\\frac{3}{10}\\) \u00d7 30 = 3 \u00d7 3 = 9<br \/>\n\\(\\frac{5}{6}\\) \u00d7 18 = 5 \u00d7 3 = 15<br \/>\n\\(\\frac{3}{8}\\) \u00d7 24 = 3 \u00d7 3 = 9<br \/>\nNow add all the stamps = 9 + 9 + 15 = 33<\/p>\n<p>Question 13.<br \/>\nPaula has 24 stamps in her collection. Among her stamps, \\(\\frac{1}{3}\\) have pictures of animals. Out of her stamps with pictures of animals, \\(\\frac{3}{4}\\) of those stamps have pictures of birds. How many stamps have pictures of birds on them?<br \/>\n_____ stamps<\/p>\n<p>Answer: 6 stamps<\/p>\n<p>Explanation:<br \/>\nPaula has 24 stamps in her collection. Among her stamps, \\(\\frac{1}{3}\\) have pictures of animals.<br \/>\nOut of her stamps with pictures of animals, \\(\\frac{3}{4}\\) of those stamps have pictures of birds.<br \/>\n\\(\\frac{1}{3}\\) \u00d7 \\(\\frac{3}{4}\\) \u00d7 24 = 24\/4 = 6<br \/>\nTherefore 6 stamps have pictures of birds.<\/p>\n<p>Question 14.<br \/>\nTest Prep Barry bought 21 stamps from a hobby shop. He gave \\(\\frac{3}{7}\\) of them to his sister. How many stamps did he have left?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-3.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 3\" width=\"146\" height=\"190\" \/><br \/>\nOptions:<br \/>\na. 3 stamps<br \/>\nb. 6 stamps<br \/>\nc. 9 stamps<br \/>\nd. 12 stamps<\/p>\n<p>Answer: 9 stamps<\/p>\n<p>Explanation:<br \/>\nTest Prep Barry bought 21 stamps from a hobby shop. He gave \\(\\frac{3}{7}\\) of them to his sister.<br \/>\n\\(\\frac{3}{7}\\) \u00d7 21<br \/>\n7 divides 21 three times.<br \/>\n3 \u00d7 3 = 9 stamps.<br \/>\nThus the correct answer is option C.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_297\"><\/a>Share and Show &#8211; Page No. 297<\/h3>\n<p><strong>Use the model to find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 3<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-4.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 4\" width=\"207\" height=\"59\" \/><br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nPlace three whole fractions strips side by side.<br \/>\nFind six fraction strips all with the same denominator that fits exactly under the three whole numbers.<br \/>\nCircle \\(\\frac{5}{6}\\) of 3 on the model you drew.<br \/>\nComplete the number sentence. \\(\\frac{5}{6}\\) of 3<br \/>\n\\(\\frac{5}{6}\\) \u00d7 3 = \\(\\frac{5}{2}\\)<br \/>\n2 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 2.<br \/>\n2 \u00d7 \\(\\frac{5}{6}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-5.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 5\" width=\"137\" height=\"65\" \/><br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nPlace two whole fractions strips side by side.<br \/>\nFind six fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n2 of \\(\\frac{5}{6}\\) = \\(\\frac{5}{6}\\) \u00d7 2<br \/>\n\\(\\frac{5}{3}\\)<br \/>\nThe mixed fraction of \\(\\frac{5}{3}\\) is 1 \\(\\frac{2}{3}\\)<\/p>\n<p><strong>Find the product.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{5}{12}\\) \u00d7 3 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{12}\\) \u00d7 3<br \/>\nPlace three whole fractions strips side by side.<br \/>\nFind six fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n\\(\\frac{5}{12}\\) \u00d7 3<br \/>\n3 divides 12 four times<br \/>\n\\(\\frac{5}{12}\\) \u00d7 3 = \\(\\frac{5}{4}\\)<br \/>\nThe mixed fraction of \\(\\frac{5}{4}\\) is 1 \\(\\frac{1}{4}\\)<br \/>\n\\(\\frac{5}{12}\\) \u00d7 3 = 1 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 4.<br \/>\n9 \u00d7 \\(\\frac{1}{3}\\) = ______<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 \\(\\frac{1}{3}\\)<br \/>\nPlace nine whole fractions strips side by side.<br \/>\nFind three fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n9 \u00d7 \\(\\frac{1}{3}\\)<br \/>\n3 divides 9 three times.<br \/>\n9 \u00d7 \\(\\frac{1}{3}\\) = 3<br \/>\nThus 9 \u00d7 \\(\\frac{1}{3}\\) = 3<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{7}{8}\\) \u00d7 4 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 3 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{8}\\) \u00d7 4<br \/>\nPlace four whole fractions strips side by side.<br \/>\n\\(\\frac{7}{8}\\) \u00d7 4<br \/>\n4 divides 8 two times.<br \/>\n\\(\\frac{7}{8}\\) \u00d7 4 = \\(\\frac{7}{2}\\)<br \/>\nThe mixed fraction of\u00a0 \\(\\frac{7}{2}\\) is 3 \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{7}{8}\\) \u00d7 4 = 3 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 6.<br \/>\n4 \u00d7 \\(\\frac{3}{5}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 \\(\\frac{3}{5}\\)<br \/>\nPlace four whole fractions strips side by side.<br \/>\nPlace three \\(\\frac{1}{5}\\) fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n4 of \\(\\frac{3}{5}\\)<br \/>\n4 \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{12}{5}\\)<br \/>\nThe mixed fraction of \\(\\frac{12}{5}\\) is 2 \\(\\frac{2}{5}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{8}\\) \u00d7 2 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{8}\\) \u00d7 2<br \/>\nPlace two whole fractions strips side by side.<br \/>\nPlace seven \\(\\frac{1}{8}\\) fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n\\(\\frac{7}{8}\\) of 2<br \/>\n\\(\\frac{7}{8}\\) \u00d7 2 = \\(\\frac{7}{4}\\)<br \/>\nThe mixed fraction of \\(\\frac{7}{4}\\) is 1 \\(\\frac{3}{4}\\)<\/p>\n<p>Question 8.<br \/>\n7 \u00d7 \\(\\frac{2}{5}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 \\(\\frac{2}{5}\\)<br \/>\nPlace seven whole fractions strips side by side.<br \/>\nPlace two \\(\\frac{1}{5}\\) fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n7 \u00d7 \\(\\frac{2}{5}\\) = \\(\\frac{14}{5}\\)<br \/>\nThe mixed fraction of \\(\\frac{14}{5}\\) = 2 \\(\\frac{4}{5}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{8}\\) \u00d7 4 = ______<\/p>\n<p>Answer: \\(\\frac{3}{2}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{8}\\) \u00d7 4<br \/>\nPlace four whole fractions strips side by side.<br \/>\nPlace three \\(\\frac{1}{8}\\) fraction strips all with the same denominator that fits exactly under the two whole numbers.<\/p>\n<p>Question 10.<br \/>\n11 \u00d7 \\(\\frac{3}{4}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 8 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n11 \u00d7 \\(\\frac{3}{4}\\)<br \/>\nPlace Eleven whole fractions strips side by side.<br \/>\nPlace three \\(\\frac{1}{4}\\) fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n11 of \\(\\frac{3}{4}\\)<br \/>\n11 \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{33}{4}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{33}{4}\\) = 8 \\(\\frac{1}{4}\\)<br \/>\n11 \u00d7 \\(\\frac{3}{4}\\) = 8 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{15}\\) \u00d7 5 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 5 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{15}\\) \u00d7 5<br \/>\nPlace five whole fractions strips side by side.<br \/>\nPlace four \\(\\frac{1}{15}\\) fraction strips all with the same denominator that fits exactly under the two whole numbers.<br \/>\n\\(\\frac{4}{15}\\) of 5<br \/>\n\\(\\frac{4}{15}\\) \u00d7 5 = \\(\\frac{4}{3}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{4}{3}\\) = 5 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 12.<br \/>\nMatt has a 5-pound bag of apples. To make a pie, he needs to use \\(\\frac{3}{5}\\) of the bag. How many pounds of apples will he use for the pie? Explain what a model for this problem might look like.<br \/>\n______ pound(s)<\/p>\n<p>Answer: 3 pounds<\/p>\n<p>Explanation:<br \/>\nGiven, Matt has a 5-pound bag of apples.<br \/>\nTo make a pie, he needs to use \\(\\frac{3}{5}\\) of the bag.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 5 = 3<br \/>\nTherefore Matt used 3 pounds of apples to make a pie.<\/p>\n<h3><a id=\"Problem_Solving_Page_No_298\"><\/a>Problem Solving &#8211; Page No. 298<\/h3>\n<p><strong>Pose a Problem<\/strong><\/p>\n<p>Question 13.<br \/>\nTarique drew the model below for a problem. Write 2 problems that can be solved using this model. One of your problems should involve multiplying a whole number by a fraction and the other problem should involve multiplying a fraction by a whole number.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-6.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 6\" width=\"496\" height=\"53\" \/><br \/>\nPose problems.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Solve your problems.<br \/>\nHow could you change the model to give you an answer of 4 \\(\\frac{4}{5}\\)?<br \/>\nExplain and write a new equation.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe five children in the Smith family each spend 2\/5 of an hour doing household chores on Saturday. How much time did the spend altogether on their chores?<br \/>\nMultiply the numerator with the whole number.<br \/>\n5 \u00d7 \\(\\frac{2}{5}\\) = \\(\\frac{10}{5}\\) = 2<\/p>\n<h3><a id=\"Share_and_Show_Page_No_301\"><\/a>Share and Show &#8211; Page No. 301<\/h3>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 1.<br \/>\n3 \u00d7 \\(\\frac{2}{5}\\) =<br \/>\n\u2022 Multiply the numerator by the whole number. Write the product over the denominator.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-7.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 7\" width=\"125\" height=\"70\" \/><br \/>\n\u2022 Write the answer as a mixed number in simplest form.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-8.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 8\" width=\"111\" height=\"66\" \/><br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the whole number with the numerator.<br \/>\n3 \\(\\frac{2}{5}\\) = \\(\\frac{6}{5}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{6}{5}\\) = 1 \\(\\frac{1}{5}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 5 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 5 = \\(\\frac{10}{3}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{10}{3}\\) = 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 3.<br \/>\n6 \u00d7 \\(\\frac{2}{3}\\) = ______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 \\(\\frac{2}{3}\\)<br \/>\nMultiply the whole number with the numerator.<br \/>\n6 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{12}{3}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{12}{3}\\) = 4<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{5}{7}\\) \u00d7 4 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{6}{7}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{7}\\) \u00d7 4<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{5}{7}\\) \u00d7 4 = \\(\\frac{20}{7}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n2 \\(\\frac{6}{7}\\)<br \/>\nThus, \\(\\frac{5}{7}\\) \u00d7 4 = 2 \\(\\frac{6}{7}\\)<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 5.<br \/>\n5 \u00d7 \\(\\frac{2}{3}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 \\(\\frac{2}{3}\\)<br \/>\nMultiply the whole number with the numerator.<br \/>\n5 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{10}{3}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n3 \\(\\frac{1}{3}\\)<br \/>\n5 \u00d7 \\(\\frac{2}{3}\\) = 3 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{4}\\) \u00d7 3 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{4}\\) \u00d7 3<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{1}{4}\\) \u00d7 3 = \\(\\frac{3}{4}\\)<\/p>\n<p>Question 7.<br \/>\n7 \u00d7 \\(\\frac{7}{8}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 6 \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 \\(\\frac{7}{8}\\)<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{49}{8}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{49}{8}\\) = 6 \\(\\frac{1}{8}\\)<br \/>\nThus, 7 \u00d7 \\(\\frac{7}{8}\\) = 6 \\(\\frac{1}{8}\\)<\/p>\n<p>Question 8.<br \/>\n2 \u00d7 \\(\\frac{4}{5}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 \\(\\frac{4}{5}\\)<br \/>\nMultiply the whole number with the numerator.<br \/>\n2 \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{8}{5}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{8}{5}\\) = 1 \\(\\frac{3}{5}\\)<\/p>\n<p>Question 9.<br \/>\n4 \u00d7 \\(\\frac{3}{4}\\) = ______<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nMultiply the whole number with the numerator.<br \/>\n4 \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{12}{4}\\)<br \/>\n4 divides 12 three times.<br \/>\nSo, \\(\\frac{12}{4}\\) = 3<br \/>\n4 \u00d7 \\(\\frac{3}{4}\\) = 3<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{7}{9}\\) \u00d7 2 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{5}{9}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{9}\\) \u00d7 2<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{7}{9}\\) \u00d7 2 = \\(\\frac{14}{9}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{14}{9}\\) = 1 \\(\\frac{5}{9}\\)<\/p>\n<p><strong>Practice: Copy and Solve. Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 11.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 11 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 6 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{5}\\) \u00d7 11<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 11 = \\(\\frac{33}{5}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{33}{5}\\) = 6 \\(\\frac{3}{5}\\)<\/p>\n<p>Question 12.<br \/>\n3 \u00d7 \\(\\frac{3}{4}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 \\(\\frac{3}{4}\\)<br \/>\nMultiply the whole number with the numerator.<br \/>\n3 \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{9}{4}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{9}{4}\\) = 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{5}{8}\\) \u00d7 3 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{7}{8}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{8}\\) \u00d7 3<br \/>\nMultiply the whole number with the numerator.<br \/>\n\\(\\frac{5}{8}\\) \u00d7 3 = \\(\\frac{15}{8}\\)<br \/>\nNow write the improper fraction in the form of the mixed fraction.<br \/>\n\\(\\frac{15}{8}\\) = 1 \\(\\frac{7}{8}\\)<\/p>\n<p><strong>Algebra Find the unknown digit.<\/strong><\/p>\n<p>Question 14.<br \/>\n\\(\\frac{\u25a0}{2}\\) \u00d7 8 = 4<br \/>\n\u25a0 = ______<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{\u25a0}{2}\\) \u00d7 8 = 4<br \/>\n\\(\\frac{\u25a0}{2}\\) = 4\/8<br \/>\n\u25a0 = 4 \u00d7 2\/8 = 1<br \/>\n\u25a0 = 1<\/p>\n<p>Question 15.<br \/>\n\u25a0 \u00d7 \\(\\frac{5}{6}\\) = \\(\\frac{20}{6}\\) or 3 \\(\\frac{1}{3}\\)<br \/>\n\u25a0 = ______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\n\u25a0 \u00d7 \\(\\frac{5}{6}\\) = \\(\\frac{20}{6}\\)<br \/>\n\u25a0 = 20\/6 \u00d7 6\/5<br \/>\n\u25a0 = 20\/5 = 4<br \/>\n\u25a0 = 4<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{1}{\u25a0}\\) \u00d7 18 = 3<br \/>\n\u25a0 = ______<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{\u25a0}\\) \u00d7 18 = 3<br \/>\n\\(\\frac{1}{3}\\) \u00d7 18 = \u25a0<br \/>\n\u25a0 = 18\/3 = 6<br \/>\n\u25a0 = 6<\/p>\n<h3><a id=\"UNLOCK_the_Problem_Page_No_302\"><\/a>UNLOCK the Problem &#8211; Page No. 302<\/h3>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-9.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 9\" width=\"224\" height=\"168\" \/><\/p>\n<p>Question 17.<br \/>\nThe caterer wants to have enough turkey to feed 24 people. If he wants to provide \\(\\frac{3}{4}\\) of a pound of turkey for each person, how much turkey does he need?<br \/>\na. What do you need to find?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: I need to find How much turkey the caterer needs to provide for each person.<\/p>\n<p>Question 17.<br \/>\nb. What operation will you use?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: I will use the multiplication operation to solve the problem.<\/p>\n<p>Question 17.<br \/>\nc. What information are you given?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>I am given the information about the number of people to feed and the fraction of pounds of turkey each person gets.<\/p>\n<p>Question 17.<br \/>\nd. Solve the problem.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nThe caterer wants to serve 24 people<br \/>\n\\(\\frac{3}{4}\\) \u00d7 24<br \/>\n4 divides 24 six times.<br \/>\n3 \u00d7 6 = 18<br \/>\nThus the caterer needs 18 pounds of Turkey.<\/p>\n<p>Question 17.<br \/>\ne. Complete the sentences.<br \/>\nThe caterer wants to serve 24 people _____ of a pound of turkey each.<br \/>\nHe will need ____ \u00d7 ____ , or ______ pounds of turkey.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) \u00d7 24<\/p>\n<p>Question 17.<br \/>\nf. Fill in the bubble for the correct answer choice.<br \/>\nOptions:<br \/>\na. 72 pounds<br \/>\nb. 24 pounds<br \/>\nc. 18 pounds<br \/>\nd. 6 pounds<\/p>\n<p>Answer: 18 pounds<\/p>\n<p>Explanation:<br \/>\nThe caterer wants to serve 24 people<br \/>\n\\(\\frac{3}{4}\\) \u00d7 24<br \/>\n4 divides 24 six times.<br \/>\n3 \u00d7 6 = 18<br \/>\nThe correct answer is option C.<\/p>\n<p>Question 18.<br \/>\nPatty wants to run \\(\\frac{5}{6}\\) of a mile every day for 5 days. How far will she run in that time?<br \/>\nOptions:<br \/>\na. 25 miles<br \/>\nb. 5 miles<br \/>\nc. 4 \\(\\frac{1}{6}\\) miles<br \/>\nd. 1 \\(\\frac{2}{3}\\) miles<\/p>\n<p>Answer: 4 \\(\\frac{1}{6}\\) miles<\/p>\n<p>Explanation:<br \/>\nPatty wants to run \\(\\frac{5}{6}\\) of a mile every day for 5 days.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 5 = \\(\\frac{25}{6}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{25}{6}\\) = 4 \\(\\frac{1}{6}\\) miles<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 19.<br \/>\nDoug has 33 feet of rope. He wants to use \\(\\frac{2}{3}\\) of it for his canoe. How many feet of rope will he use for his canoe?<br \/>\nOptions:<br \/>\na. 11 feet<br \/>\nb. 22 feet<br \/>\nc. 33 feet<br \/>\nd. 66 feet<\/p>\n<p>Answer: 22 feet<\/p>\n<p>Explanation:<br \/>\nDoug has 33 feet of rope. He wants to use \\(\\frac{2}{3}\\) of it for his canoe.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 33 feet<br \/>\n3 divides 33 eleven times.<br \/>\n2 \u00d7 11 = 22 feet<br \/>\nThe correct answer is option B.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_304\"><\/a>Share and Show &#8211; Page No. 304<\/h3>\n<p><strong>Use the model to find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-10.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 10\" width=\"122\" height=\"132\" \/><br \/>\n\\(\\frac{3}{5} \\times \\frac{1}{3}=\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\nThe fraction \\(\\frac{3}{5}\\) represents the rows and columns.<br \/>\nThe fraction \\(\\frac{1}{3}\\) indicates the shaded part of the figure.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{1}{5}\\)<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-11.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 11\" width=\"203\" height=\"101\" \/><br \/>\n\\(\\frac{2}{3} \\times \\frac{3}{5}=\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The above figure shows that the circle is divided into 5 parts in which 2 parts are non shaded and 3 parts are shaded.<br \/>\nSo, the fraction of the circle is \\(\\frac{2}{3}\\)<br \/>\nThe fraction for the shaded part of the circle is \\(\\frac{3}{5}\\)<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{2}{5}\\)<\/p>\n<h3><a id=\"Share_and_Show_Page_No_305\"><\/a>Share and Show &#8211; Page No. 305<\/h3>\n<p><strong>Find the product. Draw a model.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{3} \\times \\frac{1}{5}=\\) \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{15}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{1}{5}\\)<br \/>\nMultiply the denominators of both the fractions.<br \/>\n\\(\\frac{2}{15}\\)<br \/>\n\\(\\frac{2}{3} \\times \\frac{1}{5}=\\) \\(\\frac{2}{15}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{2} \\times \\frac{5}{6}=\\) \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{5}{12}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{5}{6}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{5}{6}\\) = \\(\\frac{5}{12}\\)<br \/>\n\\(\\frac{1}{2} \\times \\frac{5}{6}=\\) \\(\\frac{5}{12}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{5} \\times \\frac{1}{3}=\\) \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{5}\\) \u00d7 \\(\\frac{1}{3}\\)<br \/>\nMultiply the denominators and the numerators of the fractions.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{3}{15}\\)<br \/>\n\\(\\frac{3}{15}\\) = \\(\\frac{1}{5}\\)<br \/>\n\\(\\frac{3}{5} \\times \\frac{1}{3}=\\) \\(\\frac{1}{5}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{3}{4} \\times \\frac{1}{6}=\\) \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{1}{6}\\)<br \/>\nMultiply the denominators and the numerators of the fractions.<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{1}{6}\\) = \\(\\frac{3}{24}\\)<br \/>\n3 divides 24 eight times.<br \/>\nSo, \\(\\frac{3}{24}\\) = \\(\\frac{1}{8}\\)<br \/>\nThus, \\(\\frac{3}{4} \\times \\frac{1}{6}=\\) \\(\\frac{1}{8}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{2}{5} \\times \\frac{5}{6}=\\) \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{5}\\) \u00d7 \\(\\frac{5}{6}\\)<br \/>\nMultiply the denominators and the numerators of the fractions.<br \/>\n\\(\\frac{2}{5}\\) \u00d7 \\(\\frac{5}{6}\\) = \\(\\frac{10}{30}\\)<br \/>\n10 divides 30 three times.<br \/>\n\\(\\frac{10}{30}\\) = \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{2}{5} \\times \\frac{5}{6}=\\) \\(\\frac{1}{3}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{5}{6} \\times \\frac{3}{5}=\\) \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{3}{5}\\)<br \/>\nMultiply the denominators and the numerators of the fractions.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{15}{30}\\)<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{15}{30}\\) = \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{5}{6} \\times \\frac{3}{5}=\\) \\(\\frac{1}{2}\\)<\/p>\n<h3><a id=\"Problem_Solving_Page_No_306\"><\/a>Problem Solving &#8211; Page No. 306<\/h3>\n<p><strong>What\u2019s the Error?<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-12.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 12\" width=\"225\" height=\"298\" \/><\/p>\n<p>Question 9.<br \/>\nCheryl and Marcus are going to make a two-tiered cake. The smaller tier is \\(\\frac{2}{3}\\) the size of the larger tier. The recipe for the bottom tier calls for \\(\\frac{3}{5}\\) cup of water. How much water will they need to make the smaller tier?<\/p>\n<p>They made a model to represent the problem. Cheryl says they need \\(\\frac{6}{9}\\) cup of water. Marcus says they need \\(\\frac{2}{5}\\) cup water. Who is correct? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-13.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 13\" width=\"185\" height=\"176\" \/><br \/>\nCheryl\u2019s answer\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Marcus\u2019 answer<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: Marcus\u2019 answer is correct.<\/p>\n<p>Explanation:<br \/>\nCheryl and Marcus are going to make a two-tiered cake.<br \/>\nThe smaller tier is \\(\\frac{2}{3}\\) the size of the larger tier.<br \/>\nThe recipe for the bottom tier calls for \\(\\frac{3}{5}\\) cup of water.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{2}{5}\\)<\/p>\n<h3><a id=\"Share_and_Show_Page_No_309\"><\/a>Share and Show &#8211; Page No. 309<\/h3>\n<p><strong>Complete the statement with equal to, greater than, or less than.<\/strong><\/p>\n<p>Question 1.<br \/>\n4 \u00d7 \\(\\frac{7}{8}\\) will be ___________ \\(\\frac{7}{8}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-14.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 14\" width=\"419\" height=\"63\" \/><br \/>\n_________<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 \\(\\frac{7}{8}\\) = \\(\\frac{7}{2}\\)<br \/>\nThe denominator with a greater number will be the smallest number.<br \/>\nSo, \\(\\frac{7}{2}\\) is greater than \\(\\frac{7}{8}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{5} \\times \\frac{2}{7}\\) will be ___________ \\(\\frac{3}{5}\\)<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{5}\\) \u00d7 \\(\\frac{2}{7}\\) = \\(\\frac{6}{35}\\)<br \/>\nThe denominator with the greatest number will be the smallest fraction.<br \/>\nSo, \\(\\frac{6}{35}\\) is less than \\(\\frac{3}{5}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{5}{8} \\times 6\\) will be ___________ \\(\\frac{5}{8}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{8}\\) \u00d7 6 = \\(\\frac{15}{4}\\)<br \/>\n\\(\\frac{15}{4}\\) = 3 \\(\\frac{3}{4}\\)<br \/>\n3 \\(\\frac{3}{4}\\) is greater than \\(\\frac{5}{8}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{2}{3} \\times \\frac{5}{5}\\) will be ___________ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: Equal to<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{5}{5}\\) = \\(\\frac{2}{3}\\)<br \/>\n\\(\\frac{2}{3}\\) is equal to \\(\\frac{2}{3}\\)<\/p>\n<p>Question 5.<br \/>\n\\(8 \\times \\frac{7}{8}\\) will be ___________ 8<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 \\(\\frac{7}{8}\\)= 7<br \/>\n7 is less than 8.<br \/>\n\\(8 \\times \\frac{7}{8}\\) will be less than 8.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Complete the statement with equal to, greater than, or less than.<\/strong><\/p>\n<p>Question 6.<br \/>\n\\(\\frac{4}{9} \\times \\frac{3}{8}\\) will be ___________ \\(\\frac{3}{8}\\)<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{9}\\) \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{12}{72}\\)<br \/>\n= \\(\\frac{1}{6}\\)<br \/>\n\\(\\frac{1}{6}\\) is less than \\(\\frac{3}{8}\\)<br \/>\n\\(\\frac{4}{9} \\times \\frac{3}{8}\\) will be less than \\(\\frac{3}{8}\\)<\/p>\n<p>Question 7.<br \/>\n\\(7 \\times \\frac{9}{10}\\) will be ___________ \\(\\frac{9}{10}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 \\(\\frac{9}{10}\\) = \\(\\frac{63}{10}\\)<br \/>\nDenominators are same so compare the numerators.<br \/>\n\\(\\frac{63}{10}\\) is greater than \\(\\frac{9}{10}\\)<\/p>\n<p>Question 8.<br \/>\n\\(5 \\times \\frac{1}{3}\\) will be ___________ \\(\\frac{1}{3}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{5}{3}\\)<br \/>\nDenominators are same so compare the numerators.<br \/>\n\\(\\frac{5}{3}\\) is greater than \\(\\frac{1}{3}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{11} \\times 1\\) will be ___________ \\(\\frac{6}{11}\\)<\/p>\n<p>Answer: Equal to<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{11}\\) \u00d7 1 = \\(\\frac{6}{11}\\)<br \/>\n\\(\\frac{6}{11}\\) is equal to \\(\\frac{6}{11}\\).<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{1}{6} \\times \\frac{7}{7}\\) will be ___________ 1<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{6}\\) \u00d7 \\(\\frac{7}{7}\\) = \\(\\frac{1}{6}\\)<br \/>\n\\(\\frac{1}{6}\\) is less than 1<\/p>\n<p>Question 11.<br \/>\n\\(4 \\times \\frac{3}{5}\\) will be ___________ \\(\\frac{3}{5}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{12}{5}\\)<br \/>\nDenominators are same so compare the numerators.<br \/>\n\\(\\frac{12}{5}\\) is greater than \\(\\frac{3}{5}\\)<\/p>\n<h3><a id=\"Problem_Solving_Page_No_310\"><\/a>Problem Solving &#8211; Page No. 310<\/h3>\n<p>Question 12.<br \/>\nLola is making cookies. She plans to multiply the recipe by 3 so she can make enough cookies for the whole class. If the recipe calls for \\(\\frac{2}{3}\\) cup of sugar, will she need more than \\(\\frac{2}{3}\\) or less than \\(\\frac{2}{3}\\) cup of sugar to make all the cookies?<br \/>\n_________ \\(\\frac{2}{3}\\) cup of sugar<\/p>\n<p>Answer: More than<\/p>\n<p>Explanation:<br \/>\nola is making cookies. She plans to multiply the recipe by 3 so she can make enough cookies for the whole class.<br \/>\n3 \u00d7 \\(\\frac{2}{3}\\) = 2<br \/>\nSo, Lola needs more than \\(\\frac{2}{3}\\) cup of sugar.<\/p>\n<p>Question 13.<br \/>\nPeter is planning on spending \\(\\frac{2}{3}\\) as many hours watching television this week as he did last week. Is Peter going to spend more hours or fewer hours watching television this week?<br \/>\n_________ hours<\/p>\n<p>Answer: Fewer<\/p>\n<p>Explanation:<br \/>\nPeter is planning on spending \\(\\frac{2}{3}\\) as many hours watching television this week as he did last week.<br \/>\n7 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{14}{3}\\)<br \/>\n\\(\\frac{14}{3}\\) = 4 \\(\\frac{2}{3}\\)<br \/>\nThus peter going to spend more hours or fewer hours watching television this week.<\/p>\n<p>Question 14.<br \/>\nTest Prep Rochelle saves \\(\\frac{1}{4}\\) of her allowance. If she decides to start saving \\(\\frac{1}{2}\\) as much, which statement below is true?<br \/>\nOptions:<br \/>\na. She will be saving the same amount.<br \/>\nb. She will be saving more.<br \/>\nc. She will be saving less.<br \/>\nd. She will be saving twice as much.<\/p>\n<p>Answer: She will be saving more<\/p>\n<p>Explanation:<br \/>\nTest Prep Rochelle saves \\(\\frac{1}{4}\\) of her allowance.<br \/>\n\\(\\frac{1}{4}\\) is greater than \\(\\frac{1}{2}\\)<br \/>\nSo, the answer is option B.<\/p>\n<p><strong>Connect to Art<\/strong><\/p>\n<p>A scale model is a representation of an object with the same shape as the real object. Models can be larger or smaller than the actual object but are often smaller.<\/p>\n<p>Architects often make scale models of the buildings or structures they plan to build. Models can give them an idea of how the structure will look when finished. Each measurement of the building is scaled up or down by the same factor.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-15.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 15\" width=\"308\" height=\"295\" \/><\/p>\n<p>Bob is building a scale model of his bike. He wants his model to be \\(\\frac{1}{5}\\) as long as his bike.<\/p>\n<p>Question 15.<br \/>\nIf Bob\u2019s bike is 60 inches long, how long will his model be?<br \/>\n_____ in.<\/p>\n<p>Answer: 12 inches<\/p>\n<p>Explanation:<br \/>\nGiven that, Bob is building a scale model of his bike. He wants his model to be \\(\\frac{1}{5}\\) as long as his bike.<br \/>\nIf Bob\u2019s bike is 60 inches long then multiply with the fraction \\(\\frac{1}{5}\\)<br \/>\n\\(\\frac{1}{5}\\) \u00d7 60 = 12 inches<br \/>\nThe model will be 12 inches long.<\/p>\n<p>Question 16.<br \/>\nIf one wheel on Bob\u2019s model is 4 inches across, how many inches across is the actual wheel on his bike? Explain.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) in.<\/p>\n<p>Answer: \\(\\frac{4}{5}\\) in.<\/p>\n<p>Explanation:<br \/>\nGiven that, one wheel on Bob\u2019s model is 4 inches across.<br \/>\n4 \u00d7 \\(\\frac{1}{5}\\) = \\(\\frac{4}{5}\\) in.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_313\"><\/a>Share and Show &#8211; Page No. 313<\/h3>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(6 \\times \\frac{3}{8}\\)<br \/>\n\\(\\frac{6}{1} \\times \\frac{3}{8}\\) = \\(\\frac{\u25a0}{\u25a0}\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{1} \\times \\frac{3}{8}\\) = \\(\\frac{\u25a0}{\u25a0}\\)<br \/>\n6 \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{18}{8}\\) = \\(\\frac{9}{4}\\)<br \/>\n\\(\\frac{9}{4}\\) = 2 \\(\\frac{1}{4}\\)<br \/>\n2 \\(\\frac{1}{4}\\) = \\(\\frac{\u25a0}{\u25a0}\\)<br \/>\n\\(\\frac{\u25a0}{\u25a0}\\) = 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{8} \\times \\frac{8}{9}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{8} \\times \\frac{8}{9}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<br \/>\n\\(\\frac{3}{8}\\) \u00d7 \\(\\frac{8}{9}\\) = \\(\\frac{1}{3}\\)<br \/>\nThus, \\(\\frac{3}{8} \\times \\frac{8}{9}\\) = \\(\\frac{1}{3}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{3} \\times 27\\) = ______<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\n27 \u00d7 \\(\\frac{2}{3}\\)<br \/>\n3 divides 27 nine times.<br \/>\nThus, 27 \u00d7 \\(\\frac{2}{3}\\) = 18<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{5}{12} \\times \\frac{3}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{12}\\) \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{3}{12}\\)<br \/>\n3 divides 12 four times.<br \/>\n\\(\\frac{3}{12}\\) = \\(\\frac{1}{4}\\)<br \/>\n\\(\\frac{5}{12} \\times \\frac{3}{5}\\) = \\(\\frac{1}{4}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{2} \\times \\frac{3}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{10}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{3}{5}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{3}{5}\\)\u00a0 = \\(\\frac{3}{10}\\)<br \/>\n\\(\\frac{1}{2} \\times \\frac{3}{5}\\) = \\(\\frac{3}{10}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{3} \\times \\frac{4}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{8}{15}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{4}{5}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{8}{15}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{3} \\times \\frac{5}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{5}{24}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{3}\\) \u00d7 \\(\\frac{5}{8}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\n\\(\\frac{1}{3} \\times \\frac{5}{8}\\) = \\(\\frac{5}{24}\\)<\/p>\n<p>Question 8.<br \/>\n\\(4 \\times \\frac{1}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator with the whole number.<br \/>\n4 \u00d7 \\(\\frac{1}{5}\\) = \\(\\frac{4}{5}\\)<br \/>\n\\(4 \\times \\frac{1}{5}\\) = \\(\\frac{4}{5}\\)<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 9.<br \/>\n\\(2 \\times \\frac{1}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the whole number with the numerator.<br \/>\n2 \u00d7 \\(\\frac{1}{8}\\)<br \/>\n2 divides 8 four times.<br \/>\n2 \u00d7 \\(\\frac{1}{8}\\) = \\(\\frac{1}{4}\\)<br \/>\n\\(2 \\times \\frac{1}{8}\\) = \\(\\frac{1}{4}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{4}{9} \\times \\frac{4}{5}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{16}{45}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{9}\\) \u00d7 \\(\\frac{4}{5}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\n\\(\\frac{4}{9}\\) \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{16}{45}\\)<br \/>\n\\(\\frac{4}{9} \\times \\frac{4}{5}\\) = \\(\\frac{16}{45}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{12} \\times \\frac{2}{3}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{18}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{12}\\) \u00d7 \\(\\frac{2}{3}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\n\\(\\frac{1}{12}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{2}{36}\\)<br \/>\n\\(\\frac{2}{36}\\) = \\(\\frac{1}{18}\\)<br \/>\n\\(\\frac{1}{12} \\times \\frac{2}{3}\\) = \\(\\frac{1}{18}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{1}{7} \\times 30\\) = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 4 \\(\\frac{2}{7}\\)<\/p>\n<p>Explanation:<br \/>\n30 \u00d7 \\(\\frac{1}{7}\\) = \\(\\frac{30}{7}\\)<br \/>\nConvert improper fraction to the mixed fraction.<br \/>\n\\(\\frac{30}{7}\\) = 4 \\(\\frac{2}{7}\\)<br \/>\n\\(\\frac{1}{7} \\times 30\\) = 4 \\(\\frac{2}{7}\\)<\/p>\n<p>Question 13.<br \/>\nOf the pets in the pet show, \\(\\frac{5}{6}\\) are cats. \\(\\frac{4}{5}\\) of the cats are calico cats. What fraction of the pets are calico cats?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) calico cats<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nOf the pets in the pet show, \\(\\frac{5}{6}\\) are cats. \\(\\frac{4}{5}\\) of the cats are calico cats.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{20}{30}\\) = \\(\\frac{2}{3}\\)<br \/>\n\\(\\frac{2}{3}\\) fraction of the pets are calico cats.<\/p>\n<p>Question 14.<br \/>\nFive cats each ate \\(\\frac{1}{4}\\) cup of food. How much food did they eat altogether?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) cups of food<\/p>\n<p>Answer: 1 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nFive cats each ate \\(\\frac{1}{4}\\) cup of food.<br \/>\n5 \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{5}{4}\\)<br \/>\nThe mixed fraction of \\(\\frac{5}{4}\\) is 1 \\(\\frac{1}{4}\\)<\/p>\n<p><strong>Algebra Evaluate for the given value.<\/strong><\/p>\n<p>Question 15.<br \/>\n\\(\\frac{2}{5}\\) \u00d7 c for c = \\(\\frac{4}{7}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{8}{35}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{5}\\) \u00d7 c = \\(\\frac{4}{7}\\)<br \/>\nc = \\(\\frac{4}{7}\\) \u00d7 \\(\\frac{2}{5}\\)<br \/>\nc = \\(\\frac{8}{35}\\)<\/p>\n<p>Question 16.<br \/>\nm \u00d7 \\(\\frac{4}{5}\\) for m = \\(\\frac{7}{8}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{7}{10}\\)<\/p>\n<p>Explanation:<br \/>\nm = \\(\\frac{4}{5}\\) \u00d7 \\(\\frac{7}{8}\\)<br \/>\nMultiply the numerators and denominators.<br \/>\n\\(\\frac{4}{5}\\) \u00d7 \\(\\frac{7}{8}\\) = \\(\\frac{7}{10}\\)<\/p>\n<p>Question 17.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 t for t = \\(\\frac{1}{8}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 t for t = \\(\\frac{1}{8}\\)<br \/>\nt = \\(\\frac{1}{8}\\) \u00d7 \\(\\frac{2}{3}\\)<br \/>\nt = \\(\\frac{1}{12}\\)<\/p>\n<p>Question 18.<br \/>\ny \u00d7 \\(\\frac{2}{3}\\) for y = 5<br \/>\n_______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\ny \u00d7 \\(\\frac{2}{3}\\) for y = 5<br \/>\n6 \u00d7 \\(\\frac{2}{3}\\) = 4<\/p>\n<h3><a id=\"Problem_Solving_Page_No_314\"><\/a>Problem Solving &#8211; Page No. 314<\/h3>\n<p><strong>Speedskating is a popular sport in the Winter Olympics. Many young athletes in the U.S. participate in speedskating clubs and camps.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-16.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 16\" width=\"313\" height=\"355\" \/><\/p>\n<p>Question 19.<br \/>\nAt a camp in Green Bay, Wisconsin, \\(\\frac{7}{9}\\) of the participants were from Wisconsin. Of that group, \\(\\frac{3}{5}\\) were 12 years old. What fraction of the group was from Wisconsin and 12 years old?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{7}{15}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nAt a camp in Green Bay, Wisconsin, \\(\\frac{7}{9}\\) of the participants were from Wisconsin.<br \/>\nOf that group, \\(\\frac{3}{5}\\) were 12 years old.<br \/>\nTo find the fraction of the group was from Wisconsin and 12 years old<br \/>\nWe have to multiply the fraction \\(\\frac{7}{9}\\) and \\(\\frac{3}{5}\\)<br \/>\n\\(\\frac{7}{9}\\) \u00d7 \\(\\frac{3}{5}\\) = \\(\\frac{21}{45}\\)<br \/>\n\\(\\frac{21}{45}\\) = \\(\\frac{7}{15}\\)<br \/>\nThus the fraction of the group was from Wisconsin and 12 years old is \\(\\frac{7}{15}\\).<\/p>\n<p>Question 20.<br \/>\nMaribel wants to skate 1 \\(\\frac{1}{2}\\) miles on Monday. If she skates \\(\\frac{9}{10}\\) mile Monday morning and \\(\\frac{2}{3}\\) of that distance Monday afternoon, will she reach her goal? Explain.<br \/>\n_____<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nMaribel wants to skate 1 \\(\\frac{1}{2}\\) miles on Monday.<br \/>\nTo find whether Maribel reached her goal we have to multiply the fractions \\(\\frac{9}{10}\\) and \\(\\frac{2}{3}\\)<br \/>\n\\(\\frac{9}{10}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{3}{5}\\)<br \/>\nBy this we can say that Maribel reaches her goal.<br \/>\nSo, the answer is yes.<\/p>\n<p>Question 21.<br \/>\nOn the first day of camp, \\(\\frac{5}{6}\\) of the skaters were beginners. Of the beginners, \\(\\frac{1}{3}\\) were girls. What fraction of the skaters were girls and beginners? Explain why your answer is reasonable.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{5}{18}\\)<\/p>\n<p>Explanation:<br \/>\nOn the first day of camp, \\(\\frac{5}{6}\\) of the skaters were beginners. Of the beginners, \\(\\frac{1}{3}\\) were girls.<br \/>\nMultiply the fraction of the skaters were beginning and the fraction of skaters were girls.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 latex]\\frac{1}{3}[\/latex] = latex]\\frac{5}{18}[\/latex]<br \/>\nThe fraction of the skaters were girls and beginners are latex]\\frac{5}{18}[\/latex]<\/p>\n<p>Question 22.<br \/>\nTest Prep On Wednesday, Danielle skated \\(\\frac{2}{3}\\) of the way around the track in 2 minutes. Her younger brother skated \\(\\frac{3}{4}\\) of Danielle\u2019s distance in 2 minutes. What fraction of the track did Danielle\u2019s brother finish in 2 minutes?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{3}\\)<br \/>\nb. \\(\\frac{1}{2}\\)<br \/>\nc. \\(\\frac{5}{7}\\)<br \/>\nd. \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nTest Prep On Wednesday, Danielle skated \\(\\frac{2}{3}\\) of the way around the track in 2 minutes.<br \/>\nHer younger brother skated \\(\\frac{3}{4}\\) of Danielle\u2019s distance in 2 minutes.<br \/>\nMultiply the fraction of Danielle skated and her younger brother skated.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{1}{2}\\)<br \/>\nThus the correct answer is option B.<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_315\"><\/a>Mid-Chapter Checkpoint &#8211; Page No. 315<\/h3>\n<p><strong>Concept and Skills<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you would model 5 \u00d7 \\(\\frac{2}{3}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{10}{3}\\)<\/p>\n<p>Question 2.<br \/>\nWhen you multiply \\(\\frac{2}{3}\\) by a fraction less than one, how does the product compare to the factors?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) \u00d7 \\(\\frac{1}{2}\\)<br \/>\n= \\(\\frac{1}{3}\\)<\/p>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{3} \\times 6\\)<br \/>\n______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 \\(\\frac{2}{3}\\)<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n\\(\\frac{1}{3}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{4}{5} \\times 7\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 5 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n\\(\\frac{4}{5} \\times 7\\)<br \/>\n7 \u00d7 \\(\\frac{4}{5}\\) = \\(\\frac{28}{5}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{28}{5}\\) = 5 \\(\\frac{3}{5}\\)<br \/>\n\\(\\frac{4}{5} \\times 7\\) = 5 \\(\\frac{3}{5}\\)<\/p>\n<p>Question 5.<br \/>\n\\(8 \\times \\frac{5}{7}\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 5 \\(\\frac{5}{7}\\)<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 \\(\\frac{5}{7}\\)<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n8 \u00d7 \\(\\frac{5}{7}\\) = \\(\\frac{40}{7}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{40}{7}\\) = 5 \\(\\frac{5}{7}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{7}{8} \\times \\frac{3}{8}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{21}{64}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{8}\\) \u00d7\u00a0\\(\\frac{3}{8}\\)<br \/>\nMultiply the numerators and denominators of the fractions.<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{3}{8}\\) = \\(\\frac{21}{64}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{2} \\times \\frac{3}{4}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerators and denominators of the fractions.<br \/>\n\\(\\frac{1}{2} \\times \\frac{3}{4}\\)<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{3}{8}\\)<br \/>\n\\(\\frac{1}{2} \\times \\frac{3}{4}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{7}{8} \\times \\frac{4}{7}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerators and denominators of the fractions.<br \/>\n7 in the numerator and 7 in the denominator will be canceled.<br \/>\n4 divides 8 two times.<br \/>\nThus the fraction is \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{7}{8} \\times \\frac{4}{7}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Question 9.<br \/>\n\\(2 \\times \\frac{3}{11}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{6}{11}\\)<\/p>\n<p>Explanation:<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n2 \u00d7 \\(\\frac{3}{11}\\)<br \/>\n2 \u00d7 3 = 6<br \/>\n2 \u00d7 \\(\\frac{3}{11}\\) = \\(\\frac{6}{11}\\)<br \/>\nThus, \\(2 \\times \\frac{3}{11}\\) = \\(\\frac{6}{11}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{5}{8} \\times \\frac{2}{3}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{5}{12}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{8} \\times \\frac{2}{3}\\)<br \/>\nMultiply the numerators and denominators of the fractions.<br \/>\n\\(\\frac{5}{8}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{10}{24}\\)<br \/>\n\\(\\frac{10}{24}\\) = \\(\\frac{5}{12}\\)<br \/>\n\\(\\frac{5}{8} \\times \\frac{2}{3}\\) = \\(\\frac{5}{12}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{7}{12} \\times 8\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 4 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 \\(\\frac{7}{12}\\)<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n8 \u00d7 \\(\\frac{7}{12}\\) = \\(\\frac{56}{12}\\) = \\(\\frac{14}{3}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{14}{3}\\) = 4 \\(\\frac{2}{3}\\)<\/p>\n<p><strong>Complete the statement with equal to, greater than, or less than.<\/strong><\/p>\n<p>Question 12.<br \/>\n3 \u00d7 \\(\\frac{2}{3}\\) _________ 3<\/p>\n<p>Answer: Less Than<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 \\(\\frac{2}{3}\\)<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n3 in the denominator will be canceled.<br \/>\n3 \u00d7 \\(\\frac{2}{3}\\) = 2<br \/>\n2 is less than 3.<br \/>\n3 \u00d7 \\(\\frac{2}{3}\\) <span style=\"text-decoration: underline;\">less than<\/span> 3.<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{5}{7}\\) \u00d7 3 _________ \\(\\frac{5}{7}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{7}\\) \u00d7 3<br \/>\nMultiply the numerator with the whole numbers.<br \/>\n\\(\\frac{5}{7}\\) \u00d7 3 = \\(\\frac{15}{7}\\)<br \/>\nConvert it into mixed fraction.<br \/>\n\\(\\frac{15}{7}\\) = 2 \\(\\frac{1}{4}\\)<br \/>\n2 \\(\\frac{1}{4}\\) is greater than \\(\\frac{5}{7}\\)<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_316\"><\/a>Mid-Chapter Checkpoint &#8211; Page No. 316<\/h3>\n<p>Question 14.<br \/>\nThere is \\(\\frac{5}{6}\\) of an apple pie left from dinner. Tomorrow, Victor plans to eat \\(\\frac{1}{6}\\) of the pie that was left. How much of the whole pie will be left after he eats tomorrow?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of the whole pie<\/p>\n<p>Answer: \\(\\frac{25}{36}\\)\u00a0of the whole pie<\/p>\n<p>Explanation:<br \/>\nG\u012bven that,<br \/>\nAn apple pie left from the dinner is \\(\\frac{5}{6}\\)<br \/>\nVictor plans to eat pie which was left is \\(\\frac{1}{6}\\)<br \/>\nThe whole pie will be left after Victor eats tomorrow =?<br \/>\nPie left from dinner = \\(\\frac{5}{6}\\)<br \/>\nVictor plans to eat pie which was left\u00a0 = \\(\\frac{1}{6}\\)<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{1}{6}\\) = \\(\\frac{5}{36}\\)<br \/>\nTo find the whole pie will be left after he eats tomorrow:<br \/>\n\\(\\frac{5}{6}\\) &#8211; \\(\\frac{5}{36}\\)<br \/>\nLCD = 36<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{6}{6}\\) &#8211; \\(\\frac{5}{36}\\)<br \/>\n\\(\\frac{30}{36}\\) &#8211; \\(\\frac{5}{36}\\) = \\(\\frac{25}{36}\\)<br \/>\nTherefore, whole pie left after Victor eats tomorrow is \\(\\frac{25}{36}\\)<\/p>\n<p>Question 15.<br \/>\nEverett and Marie are going to make fruit bars for their family reunion. They want to make 4 times the amount the recipe makes. If the recipe calls for \\(\\frac{2}{3}\\) cup of oil, how much oil will they need?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) cup of oil<\/p>\n<p>Answer: 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nEverett and Marie are going to make fruit bars for their family reunion.<br \/>\nThey want to make 4 times the amount the recipe makes.<br \/>\n4 \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{8}{3}\\)<br \/>\nThe mixed fraction of \\(\\frac{8}{3}\\) is 2 \\(\\frac{2}{3}\\)<br \/>\nThus Everett and Marie need Everett and Marie of oil.<\/p>\n<p>Question 16.<br \/>\nMatt made the model below to help him solve his math problem. Write an expression that matches Matt\u2019s model.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-17.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions Mid-Chapter Checkpoint img 17\" width=\"105\" height=\"147\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) \u00d7 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nBy seeing the above figure we can say that the fraction for the Matt\u2019s model is \\(\\frac{3}{4}\\) and \\(\\frac{2}{3}\\).<br \/>\nMultiply the fractions \\(\\frac{3}{4}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{1}{4}\\)<\/p>\n<h3><a id=\"Share_and_Show_Page_No_319\"><\/a>Share and Show &#8211; Page No. 319<\/h3>\n<p><strong>Use the grid to find the area. Let each square represent \\(\\frac{1}{3}\\) meter by \\(\\frac{1}{3}\\) meter.<\/strong><\/p>\n<p>Question 1.<br \/>\n1 \\(\\frac{2}{3}\\) \u00d7 1 \\(\\frac{1}{3}\\)<br \/>\n\u2022 Draw a diagram to represent the dimensions.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-18.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 18\" width=\"165\" height=\"129\" \/><br \/>\n\u2022 How many squares cover the diagram?<br \/>\n\u2022 What is the area of each square?<br \/>\n\u2022 What is the area of the diagram?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{2}{9}\\)<\/p>\n<p>Explanation:<br \/>\n20 squares cover the diagram.<br \/>\nEach square represents \\(\\frac{1}{9}\\) square meter<br \/>\n20 \u00d7 \\(\\frac{1}{9}\\) = \\(\\frac{20}{9}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{20}{9}\\) = 2 \\(\\frac{2}{9}\\)<br \/>\nThus the area of the diagram is 2 \\(\\frac{2}{9}\\)<\/p>\n<p><strong>Use the grid to find the area. Let each square represent \\(\\frac{1}{4}\\) meter by \\(\\frac{1}{4}\\) meter.<\/strong><\/p>\n<p>Question 2.<br \/>\n1 \\(\\frac{3}{4}\\) \u00d7 1 \\(\\frac{2}{4}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-19.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 19\" width=\"165\" height=\"129\" \/><br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\n42 squares cover the diagram.<br \/>\nEach square represents \\(\\frac{1}{16}\\) square meters.<br \/>\n42 \u00d7 \\(\\frac{1}{16}\\) = \\(\\frac{21}{8}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{21}{8}\\) = 2 \\(\\frac{5}{8}\\)<br \/>\nThe area of the diagram is 2 \\(\\frac{5}{8}\\) square meter.<\/p>\n<p>Question 3.<br \/>\n1 \\(\\frac{1}{4}\\) \u00d7 1 \\(\\frac{1}{2}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-20.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 20\" width=\"165\" height=\"129\" \/><br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{7}{8}\\)<\/p>\n<p>Explanation:<br \/>\n30 squares cover the diagram.<br \/>\nEach square represents \\(\\frac{1}{16}\\) square meters.<br \/>\n30 \u00d7 \\(\\frac{1}{16}\\) = \\(\\frac{15}{8}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{15}{8}\\) = 1 \\(\\frac{7}{8}\\)<\/p>\n<p><strong>Use an area model to solve.<\/strong><\/p>\n<p>Question 4.<br \/>\n1 \\(\\frac{3}{4}\\) \u00d7 2 \\(\\frac{1}{2}\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 4 \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>54 squares covers the diagram.<br \/>\nEach square represents \\(\\frac{1}{16}\\) square meters.<br \/>\n54 \u00d7 \\(\\frac{1}{16}\\) = \\(\\frac{27}{8}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{27}{8}\\) = 4 \\(\\frac{3}{8}\\)<\/p>\n<p>Question 5.<br \/>\n1 \\(\\frac{3}{8}\\) \u00d7 2 \\(\\frac{1}{2}\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 3 \\(\\frac{7}{16}\\)<\/p>\n<p>Explanation:<br \/>\n55 squares cover the diagram.<br \/>\nEach square represents \\(\\frac{1}{16}\\) square meters.<br \/>\n55 \u00d7 \\(\\frac{1}{16}\\) = \\(\\frac{55}{16}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{55}{16}\\) = 3 \\(\\frac{7}{16}\\)<\/p>\n<p>Question 6.<br \/>\n1 \\(\\frac{1}{9}\\) \u00d7 1 \\(\\frac{2}{3}\\)<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{23}{27}\\)<\/p>\n<p>Explanation:<br \/>\n130 squares the diagram.<br \/>\nEach square represents \\(\\frac{1}{16}\\) square meters.<br \/>\n1 \\(\\frac{1}{9}\\) \u00d7 1 \\(\\frac{2}{3}\\)<br \/>\n\\(\\frac{10}{9}\\) \u00d7 \\(\\frac{5}{3}\\) = \\(\\frac{50}{27}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{50}{27}\\) = 1 \\(\\frac{23}{27}\\)<\/p>\n<p>Question 7.<br \/>\nExplain how finding the area of a rectangle with whole-number side lengths compares to finding the area of a rectangle with fractional side lengths.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-5414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-20-1.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-20\" width=\"165\" height=\"129\" \/><br \/>\n15 squares cover the diagram.<br \/>\nEach square is \\(\\frac{1}{16}\\) square unit.<br \/>\nThe area of the diagram is \\(\\frac{15}{16}\\) square units.<\/p>\n<h3><a id=\"Problem_Solving_Page_No_320\"><\/a>Problem Solving &#8211; Page No. 320<\/h3>\n<p><strong>Pose a Problem<\/strong><\/p>\n<p>Question 8.<br \/>\nTerrance is designing a garden. He drew the following diagram of his garden. Pose a problem using mixed numbers that can be solved using his diagram.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-21.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 21\" width=\"359\" height=\"224\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-22.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 22\" width=\"279\" height=\"156\" \/><br \/>\nPose a Problem.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Solve your problem.<br \/>\nDescribe how you decided on the dimensions of Terrance\u2019s garden.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nhow finding the area of a rectangle with mixed fractions side compares to finding the area of the rectangle with the fractional side lengths.<br \/>\n6 \u00d7 1 \\(\\frac{1}{8}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<br \/>\nLet each square represent \\(\\frac{1}{2}\\) meter by \\(\\frac{1}{2}\\)<br \/>\nFrom the above figure, we can say that the number of squares is 27.<br \/>\nSo, 27 squares cover the diagram.<br \/>\nEach square is \\(\\frac{1}{4}\\) square unit.<br \/>\n27 \u00d7 \\(\\frac{1}{4}\\)\u00a0 = \\(\\frac{27}{4}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{27}{4}\\) = 6 \\(\\frac{3}{4}\\)<\/p>\n<h3><a id=\"Share_and_Show_Page_No_323\"><\/a>Share and Show &#8211; Page No. 323<\/h3>\n<p><strong>Complete the statement with equal to, greater than, or less than.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 2 \\(\\frac{1}{5}\\) will be __________ 2 \\(\\frac{1}{5}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-23.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 23\" width=\"287\" height=\"91\" \/> Shade the model to<br \/>\nshow \\(\\frac{5}{6}\\) \u00d7 2 \\(\\frac{1}{5}\\) .<br \/>\n__________<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{6}\\) \u00d7 2 \\(\\frac{1}{5}\\)<br \/>\nConvert the mixed fraction to the improper fraction.<br \/>\n2 \\(\\frac{1}{5}\\) = \\(\\frac{11}{5}\\)<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{11}{5}\\) = \\(\\frac{55}{30}\\)<br \/>\n1 \\(\\frac{25}{30}\\) = 1 \\(\\frac{5}{6}\\)<br \/>\nThus 1 \\(\\frac{5}{6}\\) is less than 2 \\(\\frac{1}{5}\\)<\/p>\n<p>Question 2.<br \/>\n1 \\(\\frac{1}{5}\\) \u00d7 2 \\(\\frac{2}{3}\\) will be __________ 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{1}{5}\\) \u00d7 2 \\(\\frac{2}{3}\\)<br \/>\nFirst, Convert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{6}{5}\\) \u00d7 \\(\\frac{8}{3}\\) = \\(\\frac{48}{15}\\)<br \/>\n\\(\\frac{48}{15}\\) = 3 \\(\\frac{3}{15}\\)<br \/>\n3 \\(\\frac{3}{15}\\) is greater than 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{4}{5}\\) \u00d7 2 \\(\\frac{2}{5}\\) will be __________ 2 \\(\\frac{2}{5}\\)<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{5}\\) \u00d7 \\(\\frac{12}{5}\\)<br \/>\nFirst, Convert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{4}{5}\\) \u00d7 \\(\\frac{12}{5}\\) = \\(\\frac{48}{5}\\)<br \/>\n\\(\\frac{48}{5}\\) = 9 \\(\\frac{3}{5}\\)<br \/>\n9 \\(\\frac{3}{5}\\) is less than 2 \\(\\frac{2}{5}\\)<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Complete the statement with equal to, greater than, or less than.<\/strong><\/p>\n<p>Question 4.<br \/>\n\\(\\frac{2}{2}\\) \u00d7 1 \\(\\frac{1}{2}\\) will be __________ 1 \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: Equal to<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{2}\\) \u00d7 \\(\\frac{3}{2}\\) = \\(\\frac{6}{4}\\)<br \/>\n\\(\\frac{6}{4}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\n1 \\(\\frac{1}{2}\\) is equal to 1 \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{2}{2}\\) \u00d7 1 \\(\\frac{1}{2}\\) will be <span style=\"text-decoration: underline;\">equal to<\/span> 1 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 3 \\(\\frac{1}{6}\\) will be __________ 3 \\(\\frac{1}{6}\\)<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 3 \\(\\frac{1}{6}\\)<br \/>\nFirst, Convert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{19}{6}\\) = \\(\\frac{38}{18}\\)<br \/>\n\\(\\frac{38}{18}\\) = 2 \\(\\frac{2}{18}\\)<br \/>\n2 \\(\\frac{2}{18}\\) is less than 3 \\(\\frac{1}{6}\\)<br \/>\n\\(\\frac{2}{3}\\) \u00d7 3 \\(\\frac{1}{6}\\) will be <span style=\"text-decoration: underline;\">less than<\/span> 3 \\(\\frac{1}{6}\\)<\/p>\n<p>Question 6.<br \/>\n2 \u00d7 2 \\(\\frac{1}{4}\\) will be __________ 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 2 \\(\\frac{1}{4}\\)<br \/>\nFirst, Convert the mixed fraction to the improper fraction.<br \/>\n2 \u00d7 \\(\\frac{9}{4}\\) = \\(\\frac{18}{4}\\)<br \/>\n\\(\\frac{18}{4}\\) = 4 \\(\\frac{2}{4}\\)<br \/>\n4 \\(\\frac{1}{2}\\) is greater than 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 7.<br \/>\n4 \u00d7 1 \\(\\frac{3}{7}\\) will be __________ 1 \\(\\frac{3}{7}\\)<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 1 \\(\\frac{3}{7}\\)<br \/>\nFirst, Convert the mixed fraction to the improper fraction.<br \/>\n4 \u00d7 \\(\\frac{10}{7}\\) = \\(\\frac{40}{7}\\)<br \/>\n4 \u00d7 1 \\(\\frac{3}{7}\\) = 5 \\(\\frac{5}{7}\\)<br \/>\n5 \\(\\frac{5}{7}\\) is greater than 1 \\(\\frac{3}{7}\\)<\/p>\n<p><strong>Algebra Tell whether the unknown factor is less than 1 or greater than 1.<\/strong><\/p>\n<p>Question 8.<br \/>\n\u25a0 \u00d7 1 \\(\\frac{2}{3}\\) = \\(\\frac{5}{6}\\)<br \/>\nThe unknown factor is __________ 1.<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\u25a0 \u00d7 1 \\(\\frac{2}{3}\\) = \\(\\frac{5}{6}\\)<br \/>\n\u25a0 \u00d7 \\(\\frac{5}{3}\\) = \\(\\frac{5}{6}\\)<br \/>\n\u25a0 = \\(\\frac{1}{2}\\)<br \/>\nThus the unknown factor is \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{1}{2}\\) is less than 1.<\/p>\n<p>Question 9.<br \/>\n\u25a0 \u00d7 1 \\(\\frac{1}{4}\\) = 2 \\(\\frac{1}{2}\\)<br \/>\nThe unknown factor is __________ 1.<\/p>\n<p>Answer: Greater than<\/p>\n<p>Explanation:<br \/>\n\u25a0 \u00d7 1 \\(\\frac{1}{4}\\) = 2 \\(\\frac{1}{2}\\)<br \/>\n\u25a0 = 2 \\(\\frac{1}{2}\\) \u00f7 1 \\(\\frac{1}{4}\\)<br \/>\n\u25a0 = 2 \u00d7 2 = 4<br \/>\n\u25a0 = 4<br \/>\nThus the unknown factor is 4<br \/>\n4 is greater than 1.<\/p>\n<h3><a id=\"Problem_Solving_Page_No_324\"><\/a>Problem Solving &#8211; Page No. 324<\/h3>\n<p>Question 10.<br \/>\nKyle is making a scale drawing of his math book. The dimensions of his drawing will be \\(\\frac{1}{3}\\) the dimensions of his book. If the width of his book is 8 \\(\\frac{1}{2}\\) inches, will the width of his drawing be equal to, greater than, or less than 8 \\(\\frac{1}{2}\\) inches?<br \/>\n__________<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nKyle is making a scale drawing of his math book.<br \/>\nThe dimensions of his drawing will be \\(\\frac{1}{3}\\) the dimensions of his book.<br \/>\n\\(\\frac{1}{3}\\) \u00d7 8 \\(\\frac{1}{2}\\)<br \/>\nFirst, Convert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{1}{3}\\) \u00d7 \\(\\frac{17}{2}\\) = \\(\\frac{17}{6}\\)<br \/>\nConvert the fraction into the mixed fraction.<br \/>\n\\(\\frac{17}{6}\\) = 2 \\(\\frac{5}{6}\\)<br \/>\n2 \\(\\frac{5}{6}\\) is less than 8 \\(\\frac{1}{2}\\) inches.<\/p>\n<p>Question 11.<br \/>\nSense or Nonsense?<br \/>\nPenny wants to make a model of a beetle that is larger than life-size. Penny says she is going to use a scaling factor of \\(\\frac{7}{12}\\). Does this make sense or is it nonsense? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: It is nonsense because Penny wants to make beetle Larger than life size. So, the scaling factor \\(\\frac{7}{12}\\) is not corresponding, because when we multiply any value with the number less than 1 we get a smaller number.<\/p>\n<p>Question 12.<br \/>\nShannon, Mary, and John earn a weekly allowance. Shannon earns an amount that is \\(\\frac{2}{3}\\) of what John earns. Mary earns an amount that is 1 \\(\\frac{2}{3}\\) of what John earns. John earns $20 a week. Who earns the greatest allowance? Who earns the least?<br \/>\n__________ earns the greatest allowance.<br \/>\n__________ earns the least allowance<\/p>\n<p>Answer:<br \/>\n<span style=\"text-decoration: underline;\">Mary<\/span> earns the greatest allowance.<br \/>\n<span style=\"text-decoration: underline;\">Shannon<\/span> earns the least allowance.<\/p>\n<p>Explanation:<\/p>\n<p>Shannon, Mary, and John earn a weekly allowance.<br \/>\nShannon earns an amount that is \\(\\frac{2}{3}\\) of what John earns.<br \/>\nMary earns an amount that is 1 \\(\\frac{2}{3}\\) of what John earns.<br \/>\nJohn earns $20 a week.<br \/>\n\\(\\frac{2}{3}\\) ________ 1 \\(\\frac{2}{3}\\)<br \/>\nConvert the mixed fraction into the improper fraction.<br \/>\n1 \\(\\frac{2}{3}\\) = \\(\\frac{5}{3}\\)<br \/>\n\\(\\frac{2}{3}\\) is <span style=\"text-decoration: underline;\">less than<\/span> 1 \\(\\frac{2}{3}\\)<br \/>\nThus <span style=\"text-decoration: underline;\">Shannon<\/span> earns the least allowance and <span style=\"text-decoration: underline;\">Mary<\/span> earns the greatest allowance.<\/p>\n<p>Question 13.<br \/>\nTest Prep Addie\u2019s puppy weighs 1 \\(\\frac{2}{3}\\) times what it weighed when it was born. It weighed 1 \\(\\frac{1}{3}\\) pounds at birth. Which statement below is true?<br \/>\nOptions:<br \/>\na. The puppy weighs the same as it did at birth.<br \/>\nb. The puppy weighs less than it did at birth.<br \/>\nc. The puppy weighs more than it did at birth.<br \/>\nd. The puppy weighs twice what it did at birth.<\/p>\n<p>Answer: The puppy weighs more than it did at birth.<\/p>\n<p>Explanation:<br \/>\nTest Prep Addie\u2019s puppy weighs 1 \\(\\frac{2}{3}\\) times what it weighed when it was born.<br \/>\nIt weighed 1 \\(\\frac{1}{3}\\) pounds at birth.<br \/>\n1 \\(\\frac{2}{3}\\) is greater than 1 \\(\\frac{1}{3}\\).<br \/>\nSo, the puppy weighs more than it did at birth.<br \/>\nThus the correct answer is option C.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_327\"><\/a>Share and Show &#8211; Page No. 327<\/h3>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 1.<br \/>\n1 \\(\\frac{2}{3}\\) \u00d7 3 \\(\\frac{4}{5}\\) = \\(\\frac{\u25a0}{3}\\) \u00d7 \\(\\frac{\u25a0}{5}\\)<br \/>\n= \\(\\frac{\u25a0}{\u25a0}\\)<br \/>\n=?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 6 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>1 \\(\\frac{2}{3}\\) \u00d7 3 \\(\\frac{4}{5}\\)<br \/>\n\\(\\frac{5}{3}\\) \u00d7 \\(\\frac{19}{5}\\)<br \/>\n\\(\\frac{\u25a0}{3}\\) \u00d7 \\(\\frac{\u25a0}{5}\\) = \\(\\frac{5}{3}\\) \u00d7 \\(\\frac{19}{5}\\)<br \/>\n\\(\\frac{5}{3}\\) \u00d7 \\(\\frac{19}{5}\\) = 6 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{1}{2}\\) \u00d7 1 \\(\\frac{1}{3}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-24.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 24\" width=\"185\" height=\"95\" \/><br \/>\nShade the model to find the product.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{2}\\) \u00d7 1 \\(\\frac{1}{3}\\)<br \/>\n1 \\(\\frac{1}{3}\\) = \\(\\frac{4}{3}\\)<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{4}{3}\\) = \\(\\frac{4}{6}\\)<\/p>\n<p>Question 3.<br \/>\n\\(1 \\frac{1}{8} \\times 2 \\frac{1}{3}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{1}{8}\\) \u00d7 2 \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{9}{8}\\) \u00d7 \\(\\frac{7}{3}\\) = \\(\\frac{63}{24}\\)<br \/>\n\\(\\frac{63}{24}\\) = 2 \\(\\frac{63}{24}\\) = 2 \\(\\frac{15}{24}\\)<br \/>\n2 \\(\\frac{15}{24}\\) = 2 \\(\\frac{5}{8}\\)<br \/>\n\\(1 \\frac{1}{8} \\times 2 \\frac{1}{3}\\) = 2 \\(\\frac{5}{8}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{3}{4} \\times 6 \\frac{5}{6}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 5 \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{4}\\) \u00d7 6 \\(\\frac{5}{6}\\)<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{41}{6}\\)<br \/>\n\\(\\frac{123}{24}\\) = \\(\\frac{41}{8}\\)<br \/>\nConvert the fraction to the mixed fraction.<br \/>\n\\(\\frac{41}{8}\\) = 5 \\(\\frac{1}{8}\\)<\/p>\n<p>Question 5.<br \/>\n\\(1 \\frac{2}{7} \\times 1 \\frac{3}{4}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{2}{7}\\) \u00d7 1 \\(\\frac{3}{4}\\)<br \/>\nMultiply the numerators and the denominators.<br \/>\nConvert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{9}{7}\\) \u00d7 \\(\\frac{7}{4}\\) = \\(\\frac{63}{28}\\)<br \/>\n\\(\\frac{63}{28}\\) = 2 \\(\\frac{1}{4}\\)<br \/>\n\\(1 \\frac{2}{7} \\times 1 \\frac{3}{4}\\) = 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{3}{4} \\times 1 \\frac{1}{4}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{15}{16}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{4}\\) \u00d7 1 \\(\\frac{1}{4}\\)<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{5}{4}\\) = \\(\\frac{15}{16}\\)<br \/>\n\\(\\frac{3}{4} \\times 1 \\frac{1}{4}\\) = \\(\\frac{15}{16}\\)<\/p>\n<p><strong>Use the Distributive Property to find the product.<\/strong><\/p>\n<p>Question 7.<br \/>\n\\(16 \\times 2 \\frac{1}{2}\\) = ______<\/p>\n<p>Answer: 40<\/p>\n<p>Explanation:<br \/>\n\\(16 \\times 2 \\frac{1}{2}\\)<br \/>\n(16 \u00d7 2) + (16 \u00d7 \\(\\frac{1}{2}\\))<br \/>\n32 + 8 = 40<br \/>\n\\(16 \\times 2 \\frac{1}{2}\\) = 40<\/p>\n<p>Question 8.<br \/>\n\\(1 \\frac{4}{5} \\times 15\\) = ______<\/p>\n<p>Answer: 27<\/p>\n<p>Explanation:<br \/>\n\\(1 \\frac{4}{5} \\times 15\\)<br \/>\n15 \u00d7 1 \\(\\frac{4}{5}\\)<br \/>\n(1 \u00d7 15) + (15 \u00d7 \\(\\frac{4}{5}\\))<br \/>\n15 + \\(\\frac{60}{5}\\)<br \/>\n15 + 12 = 27<br \/>\nThus \\(1 \\frac{4}{5} \\times 15\\) = 27<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{4} \\times 1 \\frac{1}{2}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{4}\\) \u00d7 1 \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{3}{2}\\) = \\(\\frac{9}{8}\\)<br \/>\nNow convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{9}{8}\\) = 1 \\(\\frac{1}{8}\\)<\/p>\n<p>Question 10.<br \/>\n\\(4 \\frac{2}{5} \\times 1 \\frac{1}{2}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 6 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\n4 \\(\\frac{2}{5}\\) \u00d7 1 \\(\\frac{1}{2}\\)<br \/>\nConvert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{22}{5}\\) \u00d7 \\(\\frac{3}{2}\\) = \\(\\frac{66}{10}\\)<br \/>\nThe mixed fraction of \\(\\frac{66}{10}\\) is 6 \\(\\frac{3}{5}\\)<\/p>\n<p>Question 11.<br \/>\n\\(5 \\frac{1}{3} \\times \\frac{3}{4}\\) = ______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\n5 \\(\\frac{1}{3}\\) \u00d7 \\(\\frac{3}{4}\\)<br \/>\nConvert the mixed fraction to the improper fraction.<br \/>\n\\(\\frac{16}{3}\\) \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{48}{12}\\)<br \/>\n12 divides 48 four times.<br \/>\nThus \\(5 \\frac{1}{3} \\times \\frac{3}{4}\\) = 4<\/p>\n<p>Question 12.<br \/>\n\\(2 \\frac{1}{2} \\times 5 \\frac{1}{5}\\) = ______<\/p>\n<p>Answer: 13<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{1}{2}\\) \u00d7 5 \\(\\frac{1}{5}\\)<br \/>\n\\(\\frac{5}{2}\\) \u00d7 \\(\\frac{26}{5}\\) = \\(\\frac{130}{10}\\)<br \/>\n10 divides 130 thirteen times.<br \/>\n\\(\\frac{130}{10}\\) = 13<br \/>\n\\(2 \\frac{1}{2} \\times 5 \\frac{1}{5}\\) = 13<\/p>\n<p>Question 13.<br \/>\n\\(12 \\frac{3}{4} \\times 2 \\frac{2}{3}\\) = ______<\/p>\n<p>Answer: 34<\/p>\n<p>Explanation:<br \/>\n12 \\(\\frac{3}{4}\\) \u00d7 2 \\(\\frac{2}{3}\\)<br \/>\n\\(\\frac{51}{4}\\) \u00d7 \\(\\frac{6}{3}\\)<br \/>\n3 divides 51 seventeen times.<br \/>\n17 \u00d7 2 = 34<\/p>\n<p>Question 14.<br \/>\n\\(3 \\times 4 \\frac{1}{2}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 13 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 4 \\(\\frac{1}{2}\\)<br \/>\n3 \u00d7 \\(\\frac{9}{2}\\) = \\(\\frac{27}{2}\\)<br \/>\nConvert the fraction to the mixed fraction<br \/>\n\\(\\frac{27}{2}\\) = 13 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 15.<br \/>\n\\(2 \\frac{3}{8} \\times \\frac{4}{9}\\) = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{1}{18}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{3}{8}\\) \u00d7 \\(\\frac{4}{9}\\)<br \/>\n\\(\\frac{19}{8}\\) \u00d7 \\(\\frac{4}{9}\\) = \\(\\frac{76}{72}\\)<br \/>\n\\(\\frac{76}{72}\\) = 1 \\(\\frac{1}{18}\\)<br \/>\n\\(2 \\frac{3}{8} \\times \\frac{4}{9}\\) = 1 \\(\\frac{1}{18}\\)<\/p>\n<p>Question 16.<br \/>\n\\(1 \\frac{1}{3} \\times 1 \\frac{1}{4} \\times 1 \\frac{1}{5}\\) = ______<\/p>\n<p>Answer: 2<\/p>\n<p>Explanation:<\/p>\n<p>1 \\(\\frac{1}{3}\\) \u00d7 1 \\(\\frac{1}{4}\\) \u00d7 1 \\(\\frac{1}{5}\\)<br \/>\n\\(\\frac{4}{3}\\) \u00d7 \\(\\frac{5}{4}\\) \u00d7 \\(\\frac{6}{5}\\) = 2<br \/>\n\\(1 \\frac{1}{3} \\times 1 \\frac{1}{4} \\times 1 \\frac{1}{5}\\) = 2<\/p>\n<p><strong>Use the Distributive Property to find the product.<\/strong><\/p>\n<p>Question 17.<br \/>\n\\(10 \\times 2 \\frac{3}{5}\\) = ______<\/p>\n<p>Answer: 26<\/p>\n<p>Explanation:<br \/>\n10 \u00d7 2 \\(\\frac{3}{5}\\)<br \/>\nNow use the Distributive Property to find the product.<br \/>\n(10 \u00d7 2) + (10 \u00d7 \\(\\frac{3}{5}\\))<br \/>\n20 + \\(\\frac{30}{5}\\)<br \/>\n5 divides 30 6 times.<br \/>\n20 + 6 = 26<\/p>\n<p>Question 18.<br \/>\n\\(3 \\frac{3}{4} \\times 12\\) = ______<\/p>\n<p>Answer: 45<\/p>\n<p>Explanation:<br \/>\n3 \\(\\frac{3}{4}\\) \u00d7 12<br \/>\nNow use the Distributive Property to find the product.<br \/>\n(12 \u00d7 3) + (12 \u00d7 \\(\\frac{3}{4}\\))<br \/>\n36 + \\(\\frac{36}{4}\\)<br \/>\n36 + 9 = 45<br \/>\n\\(3 \\frac{3}{4} \\times 12\\) = 45<\/p>\n<h3><a id=\"Share_and_Show_Connect_to_Health_Page_No_328\"><\/a>Share and Show Connect to health &#8211; Page No. 328<\/h3>\n<p><strong>Changing Recipes<\/strong><\/p>\n<p><strong>You can make a lot of recipes more healthful by reducing the amounts of fat, sugar, and salt.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-25.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 25\" width=\"338\" height=\"183\" \/><\/p>\n<p>Kelly has a muffin recipe that calls for 1 \\(\\frac{1}{2}\\) cups of sugar. She wants to use \\(\\frac{1}{2}\\) that amount of sugar and more cinnamon and vanilla. How much sugar will she use?<br \/>\nMultiply 1 \\(\\frac{1}{2}\\) by \\(\\frac{1}{2}\\) to find what part of the original amount of sugar to use.<br \/>\nWrite the mixed number as a fraction greater than 1. Then, multiply.<br \/>\n\\(\\frac{1}{2} \\times 1 \\frac{1}{2}=\\frac{1}{2} \\times \\frac{3}{2}\\)<br \/>\n= \\(\\frac{3}{4}\\)<br \/>\nSo, Kelly will use \\(\\frac{3}{4}\\) cup of sugar.<\/p>\n<p>Question 19.<br \/>\nMichelle has a recipe that calls for 2 \\(\\frac{1}{2}\\) cups of vegetable oil. She wants to use \\(\\frac{2}{3}\\) that amount of oil and use applesauce to replace the rest. How much vegetable oil will she use?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) cups<\/p>\n<p>Answer: 1 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nMichelle has a recipe that calls for 2 \\(\\frac{1}{2}\\) cups of vegetable oil.<br \/>\nShe wants to use \\(\\frac{2}{3}\\) that amount of oil and use applesauce to replace the rest<br \/>\nMultiply 2 \\(\\frac{1}{2}\\) by \\(\\frac{2}{3}\\) to find how much vegetable oil she will use.<br \/>\n2 \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{2}{3}\\)<br \/>\nConvert the mixed fractions into the fractions.<br \/>\n\\(\\frac{5}{2}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{10}{6}\\)<br \/>\n\\(\\frac{10}{6}\\) = \\(\\frac{5}{3}\\) = 1 \\(\\frac{2}{3}\\)<br \/>\nShe will use 1 \\(\\frac{2}{3}\\) cups of vegetable oil.<\/p>\n<p>Question 20.<br \/>\nTony\u2019s recipe for soup calls for 1 \\(\\frac{1}{4}\\) teaspoons of salt. He wants to use \\(\\frac{1}{2}\\) that amount. How much salt will he use?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) teaspoon<\/p>\n<p>Answer: \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\nTony\u2019s recipe for soup calls for 1 \\(\\frac{1}{4}\\) teaspoons of salt.<br \/>\nHe wants to use \\(\\frac{1}{2}\\) that amount.<br \/>\nMultiply the fractions to find how much salt he will use in the recipe for soup.<br \/>\n1 \\(\\frac{1}{4}\\) \u00d7 \\(\\frac{1}{2}\\)<br \/>\nConvert the mixed fractions to the improper fractions.<br \/>\n\\(\\frac{5}{4}\\) \u00d7 \\(\\frac{1}{2}\\) = \\(\\frac{5}{8}\\)<br \/>\nThus Tony use \\(\\frac{5}{8}\\) teaspoon of salt for soup.<\/p>\n<p>Question 21.<br \/>\nJeffrey\u2019s recipe for oatmeal muffins calls for 2 \\(\\frac{1}{4}\\) cups of oatmeal and makes one dozen muffins. If he makes 1 \\(\\frac{1}{2}\\) dozen muffins for a club meeting, how much oatmeal will he use?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) cups<\/p>\n<p>Answer: 3 \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<br \/>\nJeffrey\u2019s recipe for oatmeal muffins calls for 2 \\(\\frac{1}{4}\\) cups of oatmeal and makes one dozen muffins.<br \/>\nTo find how much oatmeal he will use we need to multiply the fractions.<br \/>\n2 \\(\\frac{1}{4}\\) \u00d7 1 \\(\\frac{1}{2}\\)<br \/>\nConvert the mixed fractions to the improper fractions.<br \/>\n\\(\\frac{9}{4}\\) \u00d7 \\(\\frac{3}{2}\\)<br \/>\n\\(\\frac{27}{8}\\) = 3 \\(\\frac{3}{8}\\)<br \/>\nThus he will use 3 \\(\\frac{3}{8}\\) cups of oatmeal to make oatmeal muffins.<\/p>\n<p>Question 22.<br \/>\nCara\u2019s muffin recipe calls for 1 \\(\\frac{1}{2}\\) cups of flour for the muffins and \\(\\frac{1}{4}\\) cup of flour for the topping. If she makes \\(\\frac{1}{2}\\) of the original recipe, how much flour will she use?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) cup of flour<\/p>\n<p>Answer: \\(\\frac{7}{8}\\)<\/p>\n<p>Explanation:<br \/>\nConvert mixed fractions into improper fractions.<br \/>\n1 \\(\\frac{1}{2}\\) = \\(\\frac{3}{2}\\)<br \/>\n\\(\\frac{3}{2}\\) + \\(\\frac{1}{4}\\) = \\(\\frac{7}{4}\\)<br \/>\nNow we can find how much flour she will use to make \\(\\frac{1}{2}\\)\u00a0of the original recipe, when multiply<br \/>\n\\(\\frac{7}{4}\\) by \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{7}{4}\\) \u00d7 \\(\\frac{1}{2}\\) = \\(\\frac{7}{8}\\)<\/p>\n<h3><a id=\"Share_and_Show_Page_No_331\"><\/a>Share and Show &#8211; Page No. 331<\/h3>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-26.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions img 26\" width=\"247\" height=\"237\" \/><\/p>\n<p>Question 1.<br \/>\nWhen Pascal built a dog house, he knew he wanted the floor of the house to have an area of 24 square feet. He also wanted the width to be \\(\\frac{2}{3}\\) the length. What are the dimensions of the dog house?<br \/>\nFirst, choose two numbers that have a product of 24.<br \/>\nGuess: ____ feet and ____ feet<br \/>\nThen, check those numbers. Is the greater number \\(\\frac{2}{3}\\) of the other number?<br \/>\nCheck: \\(\\frac{2}{3}\\) \u00d7 _____ = _____<br \/>\nMy guess is ______.<br \/>\nFinally, if the guess is not correct, revise it and check again. Continue until you find the correct answer.<br \/>\n_____ feet by _____ feet<\/p>\n<p>Answer: 4 feet by 6 feet<\/p>\n<p>Explanation:<br \/>\nWhen Pascal built a dog house, he knew he wanted the floor of the house to have an area of 24 square feet.<br \/>\nHe also wanted the width to be \\(\\frac{2}{3}\\) the length.<br \/>\nMy guess for 24 square feet is 4 feet and 6 feet.<br \/>\nNow let us check the numbers.<br \/>\n6 \u00d7 \\(\\frac{2}{3}\\) = 4<br \/>\nSo my guess is correct.<br \/>\nThus the dimensions are 4 feet by 6 feet<\/p>\n<p>Question 2.<br \/>\nWhat if Pascal wanted the area of the floor to be 54 square feet and the width still to be \\(\\frac{2}{3}\\) the length? What would the dimensions of the floor be?<br \/>\n_____ feet by _____ feet<\/p>\n<p>Answer: 6 feet by 9 feet<\/p>\n<p>Explanation:<br \/>\nMy guess for 54 square feet is\u00a0 6 feet and 9 feet.<br \/>\n9 \u00d7 \\(\\frac{2}{3}\\)<br \/>\n3 divides 9 three times.<br \/>\n9 \u00d7 \\(\\frac{2}{3}\\) = 6<br \/>\nSo, my guess is correct.<br \/>\nTherefore the dimensions of the will be 6 feet by 9 feet<\/p>\n<p>Question 3.<br \/>\nLeo wants to paint a mural that covers a wall with an area of 1,440 square feet. The height of the wall is \\(\\frac{2}{5}\\) of its length. What is the length and the height of the wall?<br \/>\n_____ feet by _____ feet<\/p>\n<p>Answer: 24 feet by 60 feet<\/p>\n<p>Explanation:<br \/>\nLeo wants to paint a mural that covers a wall with an area of 1,440 square feet. The height of the wall is \\(\\frac{2}{5}\\) of its length.<br \/>\nGuess: 1,440 square feet = 24 feet \u00d7 60 feet<br \/>\n\\(\\frac{2}{5}\\) \u00d7 60 = 24<br \/>\nSo, our guess is correct.<br \/>\n.Thus the dimensions of the wall are 24 feet by 60 feet.<\/p>\n<h3><a id=\"On_Your_Own_Page_No_332\"><\/a>On Your Own &#8211; Page No. 332<\/h3>\n<p>Question 4.<br \/>\nBarry wants to make a drawing that is \\(\\frac{1}{4}\\) the size of the original. If a tree in the original drawing is 14 inches tall, how tall will the tree in Barry\u2019s drawing be?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) inches<\/p>\n<p>Answer: 3 \\(\\frac{1}{2}\\) inches<\/p>\n<p>Explanation:<br \/>\nGiven:<br \/>\nBarry wants to make a drawing that is \\(\\frac{1}{4}\\) the size of the original.<br \/>\nThe tree is 14 inches tall in the drawing.<br \/>\n14 \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{14}{4}\\) = \\(\\frac{7}{2}\\)<br \/>\nConvert the fraction to the mixed fraction.<br \/>\n\\(\\frac{7}{2}\\) = 3 \\(\\frac{1}{2}\\) inches<\/p>\n<p>Question 5.<br \/>\nA blueprint is a scale drawing of a building. The dimensions of the blueprint for Penny\u2019s doll house are \\(\\frac{1}{4}\\) of the measurements of the actual doll house. The floor of the doll house has an area of 864 square inches. If the width of the doll house is \\(\\frac{2}{3}\\) the length, what are the dimensions of the floor on the blueprint of the doll house?<br \/>\n_____ inches by _____ inches<\/p>\n<p>Answer: 9 inches by 6 inches<\/p>\n<p>Explanation:<br \/>\nA blueprint is a scale drawing of a building.<br \/>\nThe dimensions of the blueprint for Penny\u2019s dollhouse are \\(\\frac{1}{4}\\) of the measurements of the actual dollhouse.<br \/>\nThe floor of the dollhouse has an area of 864 square inches.<br \/>\nThe area of the dollhouse is 54 square inches.<br \/>\nMy guess is 9 inches by 6 inches<br \/>\nLet us check the numbers<br \/>\n9 \u00d7 \\(\\frac{2}{3}\\) = 6<br \/>\nMy guess is correct.<br \/>\nTherefore the dimensions of the floor on the blueprint of the dollhouse is 9 inches by 6 inches<\/p>\n<p>Question 6.<br \/>\nPose a Problem Look back at Exercise 4. Write a similar problem using a different measurement and a different fraction. Then solve your problem.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nKyle is making reusable grocery bags and lunch bags. She used a 3\/4 yard of cloth to make the grocery bag. A lunch bag requires 2\/3 of the amount of cloth of a grocery bag&#8217;s needs. How much does she need to make the lunch bag?<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{1}{2}\\)<br \/>\nThus Kyle needs \\(\\frac{1}{2}\\) of the grocery bag to make the lunch bag.<\/p>\n<p>Question 7.<br \/>\nTest Prep Albert\u2019s photograph has an area of 80 square inches. The length of the photo is 1 \\(\\frac{1}{4}\\) the width. Which of the following could be the dimensions of the photograph?<br \/>\nOptions:<br \/>\na. 5 inches by 16 inches<br \/>\nb. 12 inches by 10 inches<br \/>\nc. 6 inches by 5 inches<br \/>\nd. 10 inches by 8 inches<\/p>\n<p>Answer: 10 inches by 8 inches<\/p>\n<p>Explanation:<br \/>\nAlbert\u2019s photograph has an area of 80 square inches.<br \/>\nThe length of the photo is 1 \\(\\frac{1}{4}\\) the width.<br \/>\nMy guess for 80 square inches is 10 inches by 8 inches.<br \/>\nNow let us check the numbers.<br \/>\n8 \u00d7 1 \\(\\frac{1}{4}\\) = 8 \u00d7 \\(\\frac{5}{4}\\) = 10<br \/>\nThus the correct answer is option D.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_333\"><\/a>Chapter Review\/Test &#8211; Page No. 333<\/h3>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p>Question 1.<br \/>\nWhen you multiply 3 \\(\\frac{1}{4}\\) by a number greater than one, how does the product compare to 3 \\(\\frac{1}{4}\\)? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nYour product will be greater than 3 1\/4 because anytime you multiply a fraction times a whole number less than 1 you get a fraction less than one and any time you multiply by a fraction and a whole number greater than 1 your answer is greater than 1.<\/p>\n<p><strong>Use a model to solve.<\/strong><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6 = _____<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6<br \/>\n3 divides 6 two times.<br \/>\n2 \u00d7 2 = 4<br \/>\n\\(\\frac{2}{3}\\) \u00d7 6 = <span style=\"text-decoration: underline;\">4<\/span><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{3}{7}\\) \u00d7 14 = _____<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{7}\\) \u00d7 14<br \/>\n7 divides 14 two times.<br \/>\n3 \u00d7 2 = 6<br \/>\n\\(\\frac{3}{7}\\) \u00d7 14 = <span style=\"text-decoration: underline;\">6<\/span><\/p>\n<p>Question 4.<br \/>\n\\(\\frac{5}{8}\\) \u00d7 24 = _____<\/p>\n<p>Answer: 15<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{5}{8}\\) \u00d7 24<br \/>\n8 divides 24 three times.<br \/>\n5 \u00d7 3 = 15<br \/>\n\\(\\frac{5}{8}\\) \u00d7 24 = <span style=\"text-decoration: underline;\">15<\/span><\/p>\n<p><strong>Find the product. Write the product in simplest form.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{5}\\) \u00d7 8 = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 4 \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{5}\\) \u00d7 8 = \\(\\frac{24}{5}\\)<br \/>\nThe mixed fraction of \\(\\frac{24}{5}\\) is 4 \\(\\frac{4}{5}\\)<br \/>\n\\(\\frac{3}{5}\\) \u00d7 8 = 4 \\(\\frac{4}{5}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{4}\\) \u00d7 10 = _____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 2 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{4}\\) \u00d7 10<br \/>\n2 divides 10 five times.<br \/>\n\\(\\frac{1}{2}\\) \u00d7 5 = \\(\\frac{5}{2}\\)<br \/>\nThe mixed fraction of \\(\\frac{5}{2}\\) is 2 \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{1}{4}\\) \u00d7 10 = 2 \\(\\frac{1}{2}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{5}\\) \u00d7 15 = _____<\/p>\n<p>Answer: 21<\/p>\n<p>\\(\\frac{7}{5}\\) \u00d7 15<br \/>\n5 divides 15 three times.<br \/>\n\\(\\frac{7}{5}\\) \u00d7 15 = 7 \u00d7 3 = 21<br \/>\n\\(\\frac{7}{5}\\) \u00d7 15 = 21<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{5}{9}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{10}{18}\\)<br \/>\n\\(\\frac{10}{18}\\) = \\(\\frac{5}{9}\\)<br \/>\nThus \\(\\frac{5}{6}\\) \u00d7 \\(\\frac{2}{3}\\) = \\(\\frac{5}{9}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{1}{5}\\) \u00d7 \\(\\frac{5}{7}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{7}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{5}\\) \u00d7 \\(\\frac{5}{7}\\)<br \/>\n5 in the numerator and 5 in the denominator gets canceled.<br \/>\n= \\(\\frac{1}{7}\\)<br \/>\nThus \\(\\frac{1}{5}\\) \u00d7 \\(\\frac{5}{7}\\) = \\(\\frac{1}{7}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{3}{8}\\) \u00d7 \\(\\frac{1}{6}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{16}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{8}\\) \u00d7 \\(\\frac{1}{6}\\)<br \/>\n3 divides 6 two times<br \/>\n\\(\\frac{3}{8}\\) \u00d7 \\(\\frac{1}{6}\\) = \\(\\frac{1}{8}\\) \u00d7 \\(\\frac{1}{2}\\)<br \/>\nMultiply the denominators.<br \/>\n= \\(\\frac{1}{16}\\)<br \/>\nThus \\(\\frac{3}{8}\\) \u00d7 \\(\\frac{1}{6}\\) = \\(\\frac{1}{16}\\)<\/p>\n<p><strong>Complete the statement with equal to, greater than, or less than.<\/strong><\/p>\n<p>Question 11.<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{6}{6}\\) will be __________ \\(\\frac{7}{8}\\)<\/p>\n<p>Answer: Equal to<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{6}{6}\\)<br \/>\n\\(\\frac{6}{6}\\) = 1<br \/>\n\\(\\frac{7}{8}\\) \u00d7 1 = \\(\\frac{7}{8}\\)<br \/>\n\\(\\frac{7}{8}\\) = \\(\\frac{7}{8}\\)<br \/>\nThus \\(\\frac{7}{8}\\) \u00d7 \\(\\frac{6}{6}\\) will be <span style=\"text-decoration: underline;\">equal to<\/span> \\(\\frac{7}{8}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{8}{9}\\) will be __________ \\(\\frac{8}{9}\\)<\/p>\n<p>Answer: Less than<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{8}{9}\\)<br \/>\nMultiply the numerators and denominators<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{8}{9}\\) = \\(\\frac{4}{9}\\)<br \/>\n\\(\\frac{4}{9}\\) is less than \\(\\frac{8}{9}\\)<br \/>\nSo, \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{8}{9}\\) will be <span style=\"text-decoration: underline;\">less than<\/span> \\(\\frac{8}{9}\\)<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_334\"><\/a>Chapter Review\/Test &#8211; Page No. 334<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 13.<br \/>\nWolfgang wants to enlarge a picture he developed. Which factor listed below would scale up (enlarge) his picture the most if he used it to multiply its current dimensions?<br \/>\nOptions:<br \/>\na. \\(\\frac{7}{8}\\)<br \/>\nb. \\(\\frac{14}{14}\\)<br \/>\nc. 1 \\(\\frac{4}{9}\\)<br \/>\nd. \\(\\frac{3}{2}\\)<\/p>\n<p>Answer: 1 \\(\\frac{4}{9}\\)<\/p>\n<p>Explanation:<br \/>\nThe greatest fraction among all the fractions is 1 \\(\\frac{4}{9}\\).<br \/>\n1 \\(\\frac{4}{9}\\) is greater than 1.<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 14.<br \/>\nRachel wants to reduce the size of her photo. Which factor listed below would scale down (reduce) the size of her picture the most?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{8}\\)<br \/>\nb. \\(\\frac{11}{16}\\)<br \/>\nc. 1 \\(\\frac{3}{4}\\)<br \/>\nd. \\(\\frac{8}{5}\\)<\/p>\n<p>Answer: \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\nCompare to all the fractions \\(\\frac{5}{8}\\) is smaller.<br \/>\nSo, Rachel would reduce the size of her picture to \\(\\frac{5}{8}\\)<br \/>\nSo, the correct answer is option A.<\/p>\n<p>Question 15.<br \/>\nMarteen wants to paint \\(\\frac{2}{3}\\) of her room today. She wants to paint \\(\\frac{1}{4}\\) of that before lunch. How much of her room will she paint today before lunch?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{12}\\)<br \/>\nb. \\(\\frac{1}{6}\\)<br \/>\nc. 1 \\(\\frac{5}{12}\\)<br \/>\nd. \\(\\frac{11}{12}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<br \/>\nMarteen wants to paint \\(\\frac{2}{3}\\) of her room today.<br \/>\nShe wants to paint \\(\\frac{1}{4}\\) of that before lunch.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{6}\\)<br \/>\nSo, the answer is option B.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_335\"><\/a>Chapter Review\/Test &#8211; Page No. 335<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 16.<br \/>\nGia\u2019s bus route to school is 5 \\(\\frac{1}{2}\\) miles. The bus route home is 1 \\(\\frac{3}{5}\\) times as long. How long is Gia\u2019s bus route home?<br \/>\nOptions:<br \/>\na. 5 \\(\\frac{3}{10}\\) miles<br \/>\nb. 8 miles<br \/>\nc. 8 \\(\\frac{4}{5}\\) miles<br \/>\nd. 17 \\(\\frac{3}{5}\\) miles<\/p>\n<p>Answer: 8 \\(\\frac{4}{5}\\) miles<\/p>\n<p>Explanation:<br \/>\nGia\u2019s bus route to school is 5 \\(\\frac{1}{2}\\) miles. The bus route home is 1 \\(\\frac{3}{5}\\) times as long.<br \/>\n5 \\(\\frac{1}{2}\\) \u00d7 1 \\(\\frac{3}{5}\\)<br \/>\nConvert the mixed fractions to improper fractions.<br \/>\n\\(\\frac{11}{2}\\) \u00d7 \\(\\frac{8}{5}\\) = \\(\\frac{88}{10}\\) = \\(\\frac{44}{5}\\)<br \/>\nThe mixed fraction of \\(\\frac{44}{5}\\) is 8 \\(\\frac{4}{5}\\) miles<br \/>\nTherefore the answer is option C.<\/p>\n<p>Question 17.<br \/>\nCarl\u2019s dog weighs 2 \\(\\frac{1}{3}\\) times what Judy\u2019s dog weighs. If Judy\u2019s dog weighs 35 \\(\\frac{1}{2}\\) pounds, how much does Carl\u2019s dog weigh?<br \/>\nOptions:<br \/>\na. 88 \\(\\frac{3}{4}\\) pounds<br \/>\nb. 82 \\(\\frac{5}{6}\\) pounds<br \/>\nc. 81 \\(\\frac{2}{3}\\) pounds<br \/>\nd. 71 pounds<\/p>\n<p>Answer: 82 \\(\\frac{5}{6}\\) pounds<\/p>\n<p>Explanation:<br \/>\nCarl\u2019s dog weighs 2 \\(\\frac{1}{3}\\) times what Judy\u2019s dog weighs.<br \/>\nTo find the weigh of Carl&#8217;s dog we need to multiply the fractions<br \/>\n2 \\(\\frac{1}{3}\\) and 35 \\(\\frac{1}{2}\\)<br \/>\n\\(\\frac{7}{3}\\) \u00d7 \\(\\frac{71}{2}\\) = \\(\\frac{497}{6}\\)<br \/>\nThe mixed fraction of \\(\\frac{497}{6}\\) is 82 \\(\\frac{5}{6}\\) pounds.<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 18.<br \/>\nIn a fifth grade class, \\(\\frac{4}{5}\\) of the girls have brown hair. Of the brown-haired girls, \\(\\frac{3}{5}\\) of the girls have long hair. What fraction of the girls in the class have long brown hair?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{20}\\)<br \/>\nb. \\(\\frac{1}{5}\\)<br \/>\nc. \\(\\frac{3}{5}\\)<br \/>\nd. \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: \\(\\frac{1}{5}\\)<\/p>\n<p>Explanation:<br \/>\nIn a fifth grade class, \\(\\frac{4}{5}\\) of the girls have brown hair. Of the brown-haired girls, \\(\\frac{3}{5}\\) of the girls have long hair.<br \/>\n\\(\\frac{4}{5}\\) &#8211; \\(\\frac{3}{5}\\) = \\(\\frac{1}{5}\\)<br \/>\nThe correct answer is option B.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_336\"><\/a>Chapter Review\/Test &#8211; Page No. 336<\/h3>\n<p><strong>Constructed Response<\/strong><\/p>\n<p>Question 19.<br \/>\nTasha plans to tile the floor in her room with square tiles that are \\(\\frac{1}{4}\\) foot long. Will she use more or fewer tiles if she is only able to purchase square tiles that are \\(\\frac{1}{3}\\) foot long? Explain.<br \/>\n_________ tiles<\/p>\n<p>Answer: Fewer<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{4}\\) is less than \\(\\frac{1}{3}\\)<br \/>\nSo, Tasha will use fewer tiles if she is only able to purchase square tiles that are \\(\\frac{1}{3}\\) long.<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Question 20.<br \/>\nFor a bake sale, Violet wants to use the recipe below.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-7-Multiply-Fractions-img-27.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions Chapter Review\/Test img 27\" width=\"253\" height=\"254\" \/><br \/>\nA). If she wants to double the recipe, how much flour will she need?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) cups flour<\/p>\n<p>Answer: 5 \\(\\frac{1}{2}\\) cups flour<\/p>\n<p>Explanation:<br \/>\nTo bake the sugar cookies she needs 2 \\(\\frac{3}{4}\\) cups flour.<br \/>\nIf she wants to double the recipe, she needs to multiply the 2 \\(\\frac{3}{4}\\) cups flour by 2.<br \/>\n2 \\(\\frac{3}{4}\\) + 2 \\(\\frac{3}{4}\\) = 5 \\(\\frac{1}{2}\\) cups flour<\/p>\n<p>Question 20.<br \/>\nB). Baxter wants to make 1 \\(\\frac{1}{2}\\) times the recipe. Will he need more or less sugar than Violet needs if she doubles the recipe? Explain.<br \/>\n__________ sugar<\/p>\n<p>Answer: less<\/p>\n<p>Explanation:<br \/>\nIf violet doubles the recipe he need 2 \u00d7 1 \\(\\frac{1}{2}\\) = 3 cups of sugar<br \/>\nBaxter wants to make 1 \\(\\frac{1}{2}\\) times the recipe.<br \/>\n1 \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{2}\\) = 1 \\(\\frac{3}{4}\\)<br \/>\nBaxter needs less sugar when compared to Violet&#8217;s recipe.<\/p>\n<p>Question 20.<br \/>\nC). As shown, the recipe makes 60 cookies. Jorge wants to bring 150 cookies. How much flour will he need to make 150 cookies? Explain how you got your answer. (Hint: what can you multiply 60 by to get 150?)<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) cups flour<\/p>\n<p>Answer: 2 \\(\\frac{1}{2}\\) cups flour<\/p>\n<p>Explanation:<br \/>\nThe recipe makes 60 cookies. Jorge wants to bring 150 cookies.<br \/>\nLet the amount of flour be x.<br \/>\n60 \u00d7 x = 150<br \/>\nx = 150\/60 = 5\/2<br \/>\nThe mixed fraction of \\(\\frac{5}{2}\\) is 2 \\(\\frac{1}{2}\\)<br \/>\nThus, Jorge need 2 \\(\\frac{1}{2}\\) cups flour to make 150 cookies.<\/p>\n<h3>Conclusion<\/h3>\n<p>Make the most out of the Go Math Answer Key for Grade 5 Ch 7 Multiply Fractions. Our guide on 5th Grade Chapter 7 Multiply Fractions helps you to clarify the concepts related in no time. Keep in touch with our site to avail Go Math Answer Key for different Grades all in one place.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you are looking for Chapter 7 Go Math Grade 5 Answer Key then you have reached the right destination.\u00a0 We have mentioned Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions with straight forward explanation for all the Problems. Parents who wanted to give their kids enough practice on concepts of Multiplying Fractions &#8230; <a title=\"Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-7-multiply-fractions\/\" aria-label=\"More on Go Math Grade 5 Answer Key Chapter 7 Multiply Fractions\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8850,"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-5-chapter-7-multiply-fractions-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4339"}],"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=4339"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4339\/revisions"}],"predecessor-version":[{"id":92750,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4339\/revisions\/92750"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8850"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=4339"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=4339"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=4339"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}