{"id":4372,"date":"2022-03-27T02:18:31","date_gmt":"2022-03-26T20:48:31","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=4372"},"modified":"2022-04-07T12:27:45","modified_gmt":"2022-04-07T06:57:45","slug":"go-math-grade-5-answer-key-chapter-8-divide-fractions","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-8-divide-fractions\/","title":{"rendered":"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions"},"content":{"rendered":"<p>Gain Complete Knowledge required on the Concept Divide Fractions by accessing our Go Math Grade 5 Answer Key Chapter 8. You will have Questions belonging to practice problems, mid-chapter, and review tests along with detailed explanations. Those, who are in search of <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-5-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 5 Answer Key<\/a> can download them free of cost.<\/p>\n<p>We have compiled HMH 5th Grade Go Math Answer Key Ch 8 Dividing Fractions with Step by Step Solutions making it easy to grab the concepts within easily. Tap on the direct links available for Lessons of Ch 8 Dividing Fractions to get the problems related to them instantly.<\/p>\n<h2>Go Math Grade 5 Answer Key Chapter 8 Divide Fractions<\/h2>\n<p>Score better grades in your exams by practicing from the HMH Go Math 5th Grade Solution Key. Firstly, solve the problems on your own and later cross-check them with the Solutions Provided and improve your Math Skills. You will have topics like Divide Fractions and Whole Numbers, Interpret Division with Fractions and Fraction, Connect Fractions to Division, and Whole-Number Division.<\/p>\n<p><strong>Lesson 1: Investigate \u2022 Divide Fractions and Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_341\">Share and Show &#8211; Page No. 341<\/a><\/li>\n<li><a href=\"#Problem_Solving _Page_No_342\">Problem Solving &#8211; Page No. 342<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Problem Solving \u2022 Use Multiplication<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_345\">Share and Show &#8211; Page No. 345<\/a><\/li>\n<li><a href=\"#On_Your_Own_Page_No_346\">On Your Own &#8211; Page No. 346<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Connect Fractions to Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_349\">Share and Show &#8211; Page No. 349<\/a><\/li>\n<li><a href=\"#Problem_Solving _Page_No_350\">Problem Solving &#8211; Page No. 350<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_351\">Mid-Chapter Checkpoint &#8211; Page No. 351<\/a><\/li>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_352\">Mid-Chapter Checkpoint &#8211; Page No. 352<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Fraction and Whole-Number Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_355\">Share and Show &#8211; Page No. 355<\/a><\/li>\n<li><a href=\"#UNLOCK_the_Problem_Page_No_356\">UNLOCK the Problem &#8211; Page No. 356<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Interpret Division with Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_359\">Share and Show &#8211; Page No. 359<\/a><\/li>\n<li><a href=\"#Problem_Solving _Page_No_360\">Problem Solving &#8211; Page No. 360<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 8: Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Chapter_Review_Test_Page_No_361\">Chapter Review\/Test &#8211; Page No. 361<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_362\">Chapter Review\/Test &#8211; Page No. 362<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_363\">Chapter Review\/Test &#8211; Page No. 363<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_364\">Chapter Review\/Test &#8211; Page No. 364<\/a><\/li>\n<\/ul>\n<h3><a id=\"Share_and_Show_Page_No_341\"><\/a>Share and Show &#8211; Page No. 341<\/h3>\n<p><strong>Divide and check the quotient.<\/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-8-Divide-Fractions-img-1.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 1\" width=\"627\" height=\"79\" \/><br \/>\n3 \u00f7 \\(\\frac{1}{3}\\) = _____ because _____ \u00d7 \\(\\frac{1}{3}\\) = 3<\/p>\n<p>Answer: 3 \u00f7 \\(\\frac{1}{3}\\) = <span style=\"text-decoration: underline;\">9<\/span> because <span style=\"text-decoration: underline;\">9<\/span> \u00d7 \\(\\frac{1}{3}\\) = 3<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{3}\\) strip under a three 1 whole strip to show the \\(\\frac{1}{3}\\).<br \/>\nStep 2: Find 9 fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{3}\\) strip.<br \/>\nEach piece is \\(\\frac{1}{3}\\) of the whole.<br \/>\nStep 3: Record and check the quotient.<br \/>\n3 \u00f7 \\(\\frac{1}{3}\\) = <span style=\"text-decoration: underline;\">9<\/span> because <span style=\"text-decoration: underline;\">9<\/span> \u00d7 \\(\\frac{1}{3}\\) = 3<\/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-8-Divide-Fractions-img-2.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 2\" width=\"307\" height=\"50\" \/><br \/>\nThink: What label should I write for each tick mark?<br \/>\n3 \u00f7 \\(\\frac{1}{6}\\) = _____ because _____ \u00d7 \\(\\frac{1}{6}\\) = 3<\/p>\n<p>Answer: 18, 18<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by sixths from 0 to 3 find 3 \u00f7 \\(\\frac{1}{6}\\).<br \/>\nStep 2: There are 18 one-sixths in 3 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Now record and check the quotient.<br \/>\n3 \u00f7 \\(\\frac{1}{6}\\) = 18 because 18 \u00d7 \\(\\frac{1}{6}\\) = 3<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-3.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 3\" width=\"216\" height=\"114\" \/><br \/>\n\\(\\frac{1}{4}\\) \u00f7 2 = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{4}\\) strip under a 1 whole strip to show the \\(\\frac{1}{4}\\) on the strip.<br \/>\nStep 2: Find 2 \\(\\frac{1}{8}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{4}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 2 = \\(\\frac{1}{8}\\)<\/p>\n<p><strong>Divide. Draw a number line or use fraction strips.<\/strong><\/p>\n<p>Question 4.<br \/>\n1 \u00f7 \\(\\frac{1}{3}\\) = _____<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by thirds from 0 to 1 find 1 \u00f7 \\(\\frac{1}{3}\\).<br \/>\nStep 2: There are 3 \\(\\frac{1}{3}\\) in 1 whole.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Now record and check the quotient.<br \/>\n1 \u00f7 \\(\\frac{1}{3}\\) = 3<\/p>\n<p>Question 5.<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\) = _____<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by fourths from 0 to 3 find 3 \u00f7 \\(\\frac{1}{4}\\).<br \/>\nStep 2: There are 12 one-fourths in 3 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Now record and check the quotient.<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\) = <span style=\"text-decoration: underline;\">12<\/span> because <span style=\"text-decoration: underline;\">12<\/span> \u00d7 \\(\\frac{1}{4}\\) = 3<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{5}\\) \u00f7 2 = _____<\/p>\n<p>Answer: \\(\\frac{1}{10}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{5}\\) strip under a 2 whole strip to show the \\(\\frac{1}{5}\\) on the strip.<br \/>\nStep 2: Find 2 \\(\\frac{1}{10}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{5}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{5}\\) \u00f7 2 = \\(\\frac{1}{10}\\)<\/p>\n<p>Question 7.<br \/>\n2 \u00f7 \\(\\frac{1}{2}\\) = _____<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by halves from 0 to 2 find 2 \u00f7 \\(\\frac{1}{2}\\).<br \/>\nStep 2: There are 4 halves in 2 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n2 \u00f7 \\(\\frac{1}{2}\\) = <span style=\"text-decoration: underline;\">4<\/span> because <span style=\"text-decoration: underline;\">4<\/span> \u00d7 \\(\\frac{1}{2}\\) = 2<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 3 = _____<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{4}\\) strip under a 3 whole strip to show the \\(\\frac{1}{4}\\) on the strip.<br \/>\nStep 2: Find 3 \\(\\frac{1}{12}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{4}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 3 = \\(\\frac{1}{12}\\)<\/p>\n<p>Question 9.<br \/>\n5 \u00f7 \\(\\frac{1}{2}\\) = _____<\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by halves from 0 to 5 find 5 \u00f7 \\(\\frac{1}{2}\\).<br \/>\nStep 2: There are 10 halves in 5 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n5 \u00f7 \\(\\frac{1}{2}\\) = <span style=\"text-decoration: underline;\">10<\/span> because <span style=\"text-decoration: underline;\">10<\/span> \u00d7 \\(\\frac{1}{2}\\) = 5<\/p>\n<p>Question 10.<br \/>\n4 \u00f7 \\(\\frac{1}{2}\\) = _____<\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by halves from 0 to 4 find 4 \u00f7 \\(\\frac{1}{2}\\).<br \/>\nStep 2: There are 8 halves in 4 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n4 \u00f7 \\(\\frac{1}{2}\\) = 8 because 8 \u00d7 \\(\\frac{1}{2}\\) = 4<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{6}\\) \u00f7 2 = _____<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{6}\\) strip under a 2 whole strip to show the \\(\\frac{1}{6}\\) on the strip.<br \/>\nStep 2: Find 2 \\(\\frac{1}{12}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{6}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{6}\\) \u00f7 2 = \\(\\frac{1}{12}\\)<\/p>\n<p>Question 12.<br \/>\n3 \u00f7 \\(\\frac{1}{5}\\) = _____<\/p>\n<p>Answer: 15<\/p>\n<p>Explanation:<br \/>\nStep 1: Skip count by fifths from 0 to 3 find 3 \u00f7 \\(\\frac{1}{5}\\).<br \/>\nStep 2: There are 15 one fifths in 3 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n3 \u00f7 \\(\\frac{1}{5}\\) = <span style=\"text-decoration: underline;\">15<\/span> because <span style=\"text-decoration: underline;\">15<\/span> \u00d7 \\(\\frac{1}{5}\\) = 3<\/p>\n<h3><a id=\"Problem_Solving _Page_No_342\"><\/a>Problem Solving &#8211; Page No. 342<\/h3>\n<p><strong>Sense or Nonsense?<\/strong><\/p>\n<p>Question 13.<br \/>\nEmilio and Julia used different ways to find \\(\\frac{1}{2}\\) \u00f7 4. Emilio used a model to find the quotient. Julia used a related multiplication equation to find the quotient. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.<br \/>\nEmilio\u2019s Work<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-4.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 4\" width=\"215\" height=\"112\" \/><br \/>\n\\(\\frac{1}{2}\\) \u00f7 4<\/p>\n<p>Julia\u2019s Work<br \/>\nIf \\(\\frac{1}{2}\\) \u00f7 4 = \u25a0, then \u25a0 \u00d7 4 = \\(\\frac{1}{2}\\)<br \/>\nI know that \\(\\frac{1}{8}\\) \u00f7 4 = \\(\\frac{1}{2}\\)<br \/>\nSo, \\(\\frac{1}{2}\\) \u00f7 4 = \\(\\frac{1}{8}\\) because \\(\\frac{1}{8}\\) \u00d7 4 = \\(\\frac{1}{2}\\)<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nJulia\u2019s Work is sense.<br \/>\nEmilio&#8217;s work is nonsense.<\/p>\n<p>Question 13.<br \/>\n\u2022 For the answer that is nonsense, describe how to find the correct answer.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nEmilio&#8217;s work is nonsense becuase she divided \\(\\frac{1}{2}\\) into two parts i.e., \\(\\frac{1}{4}\\) and \\(\\frac{1}{4}\\).<br \/>\n\\(\\frac{1}{2}\\)\/4 = \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{4}\\)<br \/>\nEmilio must multiply the whole number with the denominator.<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{8}\\)<\/p>\n<p>Question 13.<br \/>\nIf you were going to find \\(\\frac{1}{2}\\) \u00f7 5, explain how you would find the quotient using fraction strips.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: \\(\\frac{1}{10}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{2}\\) strip under a 5 whole strip to show the \\(\\frac{1}{2}\\) on the strip.<br \/>\nStep 2: Find 2 \\(\\frac{1}{10}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{2}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{2}\\) \u00f7 5 = \\(\\frac{1}{10}\\)<\/p>\n<h3><a id=\"Share_and_Show_Page_No_345\"><\/a>Share and Show &#8211; Page No. 345<\/h3>\n<p>Question 1.<br \/>\nA chef has 5 blocks of butter. Each block weighs 1 pound.<br \/>\nShe cuts each block into fourths. How many \\(\\frac{1}{4}\\)-pound pieces of butter does the chef have?<br \/>\nFirst, draw rectangles to represent the blocks of butter.<br \/>\nThen, divide each rectangle into fourths.<br \/>\nFinally, multiply the number of fourths in each block by the number of blocks.<br \/>\nSo, the chef has ______ one-fourth-pound pieces of butter.<br \/>\n______ one-fourth-pound<\/p>\n<p>Answer: 20<\/p>\n<p>Explanation:<br \/>\nStep 1: First form 5 rectangles to represent the blocks of butter. And then divide each rectangle into fourths.<br \/>\nStep 2: Now we will multiply the number of fourths in each block by the number of blocks.<br \/>\nMultiply the fourths with the whole number.<br \/>\n4 \u00d7 5 = 20<br \/>\nThus the chef has 20 one fourth pound pieces of butter.<\/p>\n<p>Question 2.<br \/>\nWhat if the chef had 3 blocks of butter and cut the blocks into thirds? How many \\(\\frac{1}{3}\\)-pound pieces of butter would the chef have?<br \/>\n______ \\(\\frac{1}{3}\\)-pound<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nMultiply the number of thirds in each block with the number of blocks.<br \/>\n3 \u00d7 thirds = 3 \u00d7 3 = 9<br \/>\nThus the chef has 9 one third pound pieces of butter.<\/p>\n<p>Question 3.<br \/>\nJason has 2 pizzas that he cuts into fourths. How many \\(\\frac{1}{4}\\)-size pizza slices does he have?<br \/>\n______ \\(\\frac{1}{4}\\)-size pizza slices<\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nStep 1: First, draw 2 circles to represent pizzas. Then divide each circle into fourths.<br \/>\nStep 2: Now multiply the number of fourths in each circle by the number of circles.<br \/>\n4 \u00d7 2 = 8<br \/>\nSo, Jason has 8 one fourth size pizza slices.<\/p>\n<p>Question 4.<br \/>\nThomas makes 5 sandwiches that he cuts into thirds. How many \\(\\frac{1}{3}\\)-size sandwich pieces does he have?<br \/>\n______ \\(\\frac{1}{3}\\)-size sandwich pieces<\/p>\n<p>Answer: 15<\/p>\n<p>Explanation:<br \/>\nStep 1: First, draw 5 rectangles to represent sandwiches. Then divide each rectangle into thirds.<br \/>\nStep 2: Multiply one third with the number of sandwiches.<br \/>\n3 \u00d7 5 = 15<br \/>\nThomas has 15 one-third sandwich pieces.<\/p>\n<p>Question 5.<br \/>\nHolly cuts 3 pans of brownies into eighths. How many \\(\\frac{1}{8}\\)-size brownie pieces does she have?<br \/>\n______ \\(\\frac{1}{8}\\)-size brownie pieces<\/p>\n<p>Answer: 24<\/p>\n<p>Explanation:<br \/>\nStep 1: First draw 3 rectangles to represent the ribbons. Then divide each rectangle into the pieces.<br \/>\nStep 2: Now multiply the Number of eights with the number of ribbons.<br \/>\n8 \u00d7 3 = 24<br \/>\nThus Holy has 24 one eighths pieces of ribbon.<\/p>\n<h3><a id=\"On_Your_Own_Page_No_346\"><\/a>On Your Own &#8211; Page No. 346<\/h3>\n<p>Question 6.<br \/>\nJulie wants to make a drawing that is \\(\\frac{1}{4}\\) the size of the original. If a tree in the original drawing is 8 inches tall, how tall will the tree in Julie\u2019s drawing be?<br \/>\n______ inches<\/p>\n<p>Answer: 2<\/p>\n<p>Explanation:<br \/>\nGiven, Julie wants to make a drawing that is \\(\\frac{1}{4}\\) the size of the original.<br \/>\nThe tree is 8 inches tall.<br \/>\n8 \u00d7 \\(\\frac{1}{4}\\) = 2<br \/>\nThe height of the tree in Julie&#8217;s drawing is 2 inches.<\/p>\n<p>Question 7.<br \/>\nThree friends go to a book fair. Allen spends $2.60. Maria spends 4 times as much as Allen. Akio spends $3.45 less than Maria. How much does Akio spend?<br \/>\n$ ______<\/p>\n<p>Answer: $ 6.95<\/p>\n<p>Explanation:<br \/>\nTo find how much Akio spends for first we will find how much Maria spends, and then subtract 3.45 dollars from that value.<br \/>\nAllen spends 2.60 dollars.<br \/>\nMaris spends 4 times as much as Allen.<br \/>\n4 \u00d7 2.60 = 10.4<br \/>\nSo, Maria spends 10.4 dollars.<br \/>\nAkio spends for 3.45 dollars less than Maria.<br \/>\n10.4 &#8211; 3.45 = 6.95<br \/>\nSo, Akio spends 6.95 dollars.<\/p>\n<p>Question 8.<br \/>\nBrianna has a sheet of paper that is 6 feet long. She cuts the length of paper into sixths and then cuts the length of each of these \\(\\frac{1}{6}\\) pieces into thirds. How many pieces does she have? How many inches long is each piece?<br \/>\n______ pieces , each ______ inches long<\/p>\n<p>Answer: 18 pieces, each 0.33 inches long<\/p>\n<p>Explanation:<br \/>\nBrianna has a sheet of paper that is 6 feet long.<br \/>\nShe cuts the length of paper into sixths and then cuts the length of each of these \\(\\frac{1}{6}\\) pieces into thirds.<br \/>\nThen we will count the one-third pieces to find how many pieces she has.<br \/>\n6 feet \u00f718 = 0.33 feet<br \/>\nSo, each piece is 0.33 feet long.<\/p>\n<p>Question 9.<br \/>\nPose a Problem Look back at Problem 8. Write a similar problem by changing the length of the paper and the size of the pieces.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nJohn has a tree that is 10 feet long. She cuts the length of the tree into tenth and then cuts the length of each of these 1\/10 pieces into fourth. How many pieces does he have? How many feet long is each piece?<br \/>\nAnswer:<br \/>\nFirst, draw one rectangle to represent the tree. Then divide this rectangle into tenths, and then we will divide each 1\/10 piece into fourths.<br \/>\nThen we will count the one-fourth pieces to find how many pieces he has.<br \/>\n1 tree = 10 feet<br \/>\n10 feet \u00f7 40 = 0.4 feet<br \/>\nSo, each piece is 0.4 feet long.<\/p>\n<p>Question 10.<br \/>\nTest Prep Adrian made 3 carrot cakes. He cut each cake into fourths. How many \\(\\frac{1}{4}\\)-size cake pieces does he have?<br \/>\nOptions:<br \/>\na. 16<br \/>\nb. 12<br \/>\nc. 1 \\(\\frac{1}{3}\\)<br \/>\nd. 1<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nTest Prep Adrian made 3 carrot cakes.<br \/>\nHe cut each cake into fourths.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-5816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Answer-Key-Chapter-8-Divide-Fractions-image_1-300x57.png\" alt=\"Go Math Answer Key Chapter 8 Divide Fractions image_1\" width=\"300\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Answer-Key-Chapter-8-Divide-Fractions-image_1-300x57.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Answer-Key-Chapter-8-Divide-Fractions-image_1.png 340w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nBy seeing the above figure we can say that Adrian has 12 one-quarter-size pieces of a granola bar.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_349\"><\/a>Share and Show &#8211; Page No. 349<\/h3>\n<p><strong>Draw lines on the model to complete the number sentence.<\/strong><\/p>\n<p>Question 1.<br \/>\nSix friends share 4 pizzas equally.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-5.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 5\" width=\"304\" height=\"72\" \/><br \/>\n4 \u00f7 6 =<br \/>\nEach friend\u2019s share is _____ of a pizza.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a pizza.<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nDraw lines to divide each pizza into 4 equal pieces.<br \/>\nEach friend gets \\(\\frac{2}{3}\\) of a pizza.<br \/>\n4 \u00f7 6 = \\(\\frac{2}{3}\\)<br \/>\nEach friend\u2019s share is <span style=\"text-decoration: underline;\">\\(\\frac{2}{3}\\)<\/span> of a pizza.<\/p>\n<p>Question 2.<br \/>\nFour brothers share 5 sandwiches equally.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-6.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 6\" width=\"331\" height=\"57\" \/><br \/>\n5 \u00f7 4 =<br \/>\nEach brother\u2019s share is ____ sandwiches.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) sandwiches<\/p>\n<p>Answer: \\(\\frac{5}{4}\\)<\/p>\n<p>Explanation:<br \/>\nDraw lines to divide each sandwich into 4 equal pieces.<br \/>\nDivide the number of brothers by the total number of sandwiches.<br \/>\n5 \u00f7 4 = \\(\\frac{5}{4}\\)<br \/>\nEach brother\u2019s share is <span style=\"text-decoration: underline;\">\\(\\frac{5}{4}\\)<\/span> sandwiches.<\/p>\n<p><strong>Complete the number sentence to solve.<\/strong><\/p>\n<p>Question 3.<br \/>\nTwelve friends share 3 pies equally. What fraction of a pie does each friend get?<br \/>\n3 \u00f7 12 =<br \/>\nEach friend\u2019s share is _____ of a pie.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a pie<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nTwelve friends share 3 pies equally.<br \/>\n3 \u00f7 12 = \\(\\frac{1}{4}\\)<br \/>\nEach friend\u2019s share is <span style=\"text-decoration: underline;\">\\(\\frac{1}{4}\\)<\/span> of a pie.<\/p>\n<p>Question 4.<br \/>\nThree students share 8 blocks of clay equally. How much clay does each student get?<br \/>\n8 \u00f7 3 =<br \/>\nEach student\u2019s share is ____ blocks of clay.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) blocks of clay<\/p>\n<p>Answer: 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nThree students share 8 blocks of clay equally.<br \/>\nDivide the number of blocks by three students.<br \/>\n8 \u00f7 3 = \\(\\frac{8}{3}\\)<br \/>\n\\(\\frac{8}{3}\\) = 2 \\(\\frac{2}{3}\\)<br \/>\nEach student\u2019s share is <span style=\"text-decoration: underline;\">2 \\(\\frac{2}{3}\\)<\/span> blocks of clay.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Complete the number sentence to solve.<\/strong><\/p>\n<p>Question 5.<br \/>\nFour students share 7 oranges equally. How many oranges does each student get?<br \/>\n7 \u00f7 4 =<br \/>\nEach student\u2019s share is _____ oranges.<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) oranges<\/p>\n<p>Answer: 1 \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nFour students share 7 oranges equally.<br \/>\nDraw lines to divide each orange into 4 equal pieces.<br \/>\n7 \u00f7 4 = \\(\\frac{7}{4}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{7}{4}\\) = 1 \\(\\frac{3}{4}\\)<br \/>\nEach student\u2019s share is <span style=\"text-decoration: underline;\">1 \\(\\frac{3}{4}\\)<\/span> oranges.<\/p>\n<p>Question 6.<br \/>\nEight girls share 5 fruit bars equally. What fraction of a fruit bar does each girl get?<br \/>\n5 \u00f7 8 =<br \/>\nEach girl\u2019s share is _____ of a fruit bar.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a fruit bar<\/p>\n<p>Answer: \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nEight girls share 5 fruit bars equally.<br \/>\n5 \u00f7 8 = \\(\\frac{5}{8}\\)<br \/>\nThus the fraction of the fruit bar each friend gets is \\(\\frac{5}{8}\\).<\/p>\n<p>Question 7.<br \/>\nNine friends share 6 pizzas equally. What fraction of a pizza does each friend get?<br \/>\n6 \u00f7 9 =<br \/>\nEach friend\u2019s share is _ of a pizza.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a pizza<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nNine friends share 6 pizzas equally.<br \/>\nDraw lines to divide each pizza into 9 pieces.<br \/>\n6 \u00f7 9 = \\(\\frac{2}{3}\\)<br \/>\nThus each friend&#8217;s share is \\(\\frac{2}{3}\\) of a pizza.<\/p>\n<p>Question 8.<br \/>\nTwo boys share 9 feet of rope equally. How many feet of rope does each boy get?<br \/>\n9 \u00f7 2 =<br \/>\nEach boy\u2019s share is ____ feet of rope.<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) feet of rope<\/p>\n<p>Answer: 4 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nTwo boys share 9 feet of rope equally.<br \/>\nDivide nine into halves.<br \/>\n9 \u00f7 2 = \\(\\frac{9}{2}\\)<br \/>\n\\(\\frac{9}{2}\\) = 4 \\(\\frac{1}{2}\\)<\/p>\n<h3><a id=\"Problem_Solving _Page_No_350\"><\/a>Problem Solving &#8211; Page No. 350<\/h3>\n<p>Question 9.<br \/>\nShawna has 3 adults and 2 children coming over for dessert. She is going to serve 2 small apple pies. If she plans to give each person, including herself, an equal amount of pie, how much pie will each person get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4381\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-7.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 7\" width=\"316\" height=\"297\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-7.jpg 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-7-300x282.jpg 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) pie<\/p>\n<p>Answer: \\(\\frac{1}{3}\\) pie<\/p>\n<p>Explanation:<br \/>\nTo find how much pie each person will get, we will find when 2 small apple pies we will divide by 6 persons.<br \/>\n2 \u00f7 6 = \\(\\frac{2}{6}\\) = \\(\\frac{1}{3}\\)<br \/>\nTherefore each person will get \\(\\frac{1}{3}\\) pie.<\/p>\n<p>Question 10.<br \/>\nThere are 36 members in the math club. Addison brought 81 brownies to share with all the members. How many brownies does each member get?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\) brownies<\/p>\n<p>Answer: 2 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that, There are 36 members in the math club.<br \/>\nAddison brought 81 brownies to share with all the members.<br \/>\nDividing the number of brownies by members in the math club.<br \/>\n81 \u00f7 36 = \\(\\frac{81}{36}\\) = \\(\\frac{9}{4}\\)<br \/>\nThe mixed fraction of \\(\\frac{9}{4}\\) is 2 \\(\\frac{1}{4}\\)<br \/>\nThus each member gets 2 \\(\\frac{1}{4}\\) brownies.<\/p>\n<p>Question 11.<br \/>\nEight students share 12 oatmeal muffins equally and 6 students share 15 apple muffins equally. Carmine is in both groups of students. What is the total number of muffins Carmine gets?<br \/>\n______ muffins<\/p>\n<p>Answer: 4 muffins<\/p>\n<p>Explanation:<br \/>\nSince Carmine is in both groups of students, for first we will find out how many each student of each group gets.<br \/>\nNow we will find how many oatmeal muffins each of the 8 students get, we will divide the 12 oatmeal muffins by the 8 students.<br \/>\n12 \u00f7 8 = \\(\\frac{12}{8}\\) = \\(\\frac{3}{2}\\)<br \/>\n\\(\\frac{3}{2}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\nSo, each student shares 1 \\(\\frac{1}{2}\\) oatmeal muffins.<br \/>\nTo find how many apple muffins each of the 6 students get we will divide the 15 apple muffins by the 6 students.<br \/>\n15 \u00f7 6 = \\(\\frac{15}{6}\\) = \\(\\frac{5}{2}\\)<br \/>\n\\(\\frac{5}{2}\\) = 2 \\(\\frac{1}{2}\\)<br \/>\nAs Carmine is in both groups we need to add the total number of muffins<br \/>\n1 \\(\\frac{1}{2}\\)\u00a0 + 2 \\(\\frac{1}{2}\\) = 4<br \/>\nTherefore the total number of muffins Carmine gets is 4.<\/p>\n<p>Question 12.<br \/>\nNine friends order 4 large pizzas. Four of the friends share 2 pizzas equally and the other 5 friends share 2 pizzas equally. In which group does each member get a greater amount of pizza? Explain your reasoning.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nTo find in which group each member get a greater amount of pizza, for first, we will find how many each of the friends gets.<br \/>\nGiven that 4 friends share 2 pizzas equally, so to find how many pizzas each of the 4 students get, we will find when dividing the 2 pizzas among 4 friends.<br \/>\n2 \u00f7 4 = 2\/4 = \\(\\frac{1}{2}\\)<br \/>\nIn this group, each student&#8217;s share is \\(\\frac{1}{2}\\) of the pizza.<br \/>\nThe other 5 friends share 2 pizzas equally, so to find out how many pizzas each of the 5 students get, we will find when we divide the 2 pizza among 5 friends.<br \/>\n2 \u00f7 5 = \\(\\frac{2}{5}\\)<br \/>\nIn this group, each student&#8217;s share is \\(\\frac{2}{5}\\) of the pizza.<br \/>\n\\(\\frac{1}{2}\\) &gt; \\(\\frac{2}{5}\\) so as a group with four members get a greater amount of pizza.<\/p>\n<p>Question 13.<br \/>\nTest Prep Jason baked 5 cherry pies. He wants to share them equally among 3 of his neighbors. How many pies will each neighbor get?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{8}\\)<br \/>\nb. \\(\\frac{3}{5}\\)<br \/>\nc. 1 \\(\\frac{2}{3}\\)<br \/>\nd. 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: 1 \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\nTo find how many pies each neighbor we have to divide number of cherry pies by number of neighbor.<br \/>\n5 \u00f7 3 = \\(\\frac{5}{3}\\)<br \/>\nConvert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{5}{3}\\) = 1 \\(\\frac{2}{3}\\)<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_351\"><\/a>Mid-Chapter Checkpoint &#8211; Page No. 351<\/h3>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you can tell, without computing, whether the quotient \\(\\frac{1}{2}\\) \u00f7 6 is greater than 1 or less than 1.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{1}{2}\\) \u00f7 6 = \\(\\frac{1}{12}\\)<br \/>\n\\(\\frac{1}{12}\\) is less than 1.<\/p>\n<p><strong>Divide. Draw a number line or use fraction strips.<\/strong><\/p>\n<p>Question 2.<br \/>\n3 \u00f7 \\(\\frac{1}{2}\\)<br \/>\n______<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nStep 1: Draw a number line from 0 to 3. Label each half on your number line.<br \/>\nStep 2: Skip count by halves from 0 to 3 to find 3 \u00f7 \\(\\frac{1}{2}\\).<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n3 \u00f7 \\(\\frac{1}{2}\\) = 6 because 6 \u00d7 \\(\\frac{1}{2}\\) = 3<\/p>\n<p>Question 3.<br \/>\n1 \u00f7 \\(\\frac{1}{4}\\)<br \/>\n______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nStep 1: Draw a number line from 0 to 1. Label each fourth on your number line.<br \/>\nStep 2: Skip count by fourths from 0 to 1 to find 1 \u00f7 \\(\\frac{1}{4}\\).<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n1 \u00f7 \\(\\frac{1}{4}\\) = 4 because 4 \u00d7 \\(\\frac{1}{4}\\) = 1<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{2}\\) \u00f7 2<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{2}\\) strip under a 2 whole strip to show the \\(\\frac{1}{2}\\) on the strip.<br \/>\nStep 2: Find 4 \\(\\frac{1}{2}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{2}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{2}\\) \u00f7 2 = \\(\\frac{1}{4}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{3}\\) \u00f7 4<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{3}\\) strip under a 4 whole strip to show the \\(\\frac{1}{3}\\) on the strip.<br \/>\nStep 2: Find 12 \\(\\frac{1}{3}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{3}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{3}\\) \u00f7 4 = \\(\\frac{1}{12}\\)<\/p>\n<p>Question 6.<br \/>\n2 \u00f7 \\(\\frac{1}{6}\\)<br \/>\n______<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nStep 1: Draw a number line from 0 to 2. Label each sixth on your number line.<br \/>\nStep 2: Skip count by fourths from 0 to 2 to find 2 \u00f7 \\(\\frac{1}{6}\\).<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n2 \u00f7 \\(\\frac{1}{6}\\) = 12 because 12 \u00d7 \\(\\frac{1}{6}\\) = 2<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 3<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Place a \\(\\frac{1}{4}\\) strip under a 3 whole strip to show the \\(\\frac{1}{4}\\) on the strip.<br \/>\nStep 2: Find 12 \\(\\frac{1}{4}\\) fraction strips, all with the same denominator, that fit exactly under the \\(\\frac{1}{4}\\) strip.<br \/>\nStep 3: Record and check the quotient.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 3 = \\(\\frac{1}{12}\\)<\/p>\n<p><strong>Complete the number sentence to solve.<\/strong><\/p>\n<p>Question 8.<br \/>\nTwo students share 3 granola bars equally. How many granola bars does each student get?<br \/>\n3 \u00f7 2 = ______<br \/>\nEach student\u2019s share is ______ granola bars.<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) granola bars<\/p>\n<p>Answer: 1 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that Two students share 3 granola bars equally.<br \/>\nDivide the number of granola bars by 2.<br \/>\n3 \u00f7 2 = \\(\\frac{3}{2}\\)<br \/>\nConvert the improper fraction into the mixed fraction.<br \/>\n\\(\\frac{3}{2}\\) = 1 \\(\\frac{1}{2}\\)<br \/>\nThus each student\u2019s share is <span style=\"text-decoration: underline;\">1 \\(\\frac{1}{2}\\)<\/span> granola bars.<\/p>\n<p>Question 9.<br \/>\nFive girls share 4 sandwiches equally. What fraction of a sandwich does each girl get?<br \/>\n4 \u00f7 5 = _____<br \/>\nEach girl\u2019s share is ______ of a sandwich.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a sandwich<\/p>\n<p>Answer: \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that, Five girls share 4 sandwiches equally.<br \/>\nDividing the number of sandwiches by five girls.<br \/>\n4 \u00f7 5 = \\(\\frac{4}{5}\\)<br \/>\nEach girl\u2019s share is <span style=\"text-decoration: underline;\">\\(\\frac{4}{5}\\)<\/span> of a sandwich.<\/p>\n<p>Question 10.<br \/>\nNine boys share 4 pizzas equally. What fraction of a pizza does each boy get?<br \/>\n4 \u00f7 9 = _____<br \/>\nEach boy\u2019s share is _____ of a pizza.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a pizza<\/p>\n<p>Answer: \\(\\frac{4}{9}\\)<\/p>\n<p>Explanation:<br \/>\nGiven, Nine boys share 4 pizzas equally.<br \/>\nDividing 4 pizzas by number of nine boys<br \/>\n4 \u00f7 9 = \\(\\frac{4}{9}\\)<br \/>\nEach boy\u2019s share is <span style=\"text-decoration: underline;\">\\(\\frac{4}{9}\\)<\/span> of a pizza.<\/p>\n<p>Question 11.<br \/>\nFour friends share 10 fruit bars equally. How many fruit bars does each friend get?<br \/>\n10 \u00f7 4 = _____<br \/>\nEach friend\u2019s share is _____ fruit bars.<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) fruit bars<\/p>\n<p>Answer: 2 \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nGiven, Four friends share 10 fruit bars equally.<br \/>\nDividing the number of fruit bars by the number of friends.<br \/>\n10 \u00f7 4 = \\(\\frac{10}{4}\\) = \\(\\frac{5}{2}\\)<br \/>\nConvert the improper fraction into the mixed fraction.<br \/>\n\\(\\frac{5}{2}\\) = 2 \\(\\frac{1}{2}\\)<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_352\"><\/a>Mid-Chapter Checkpoint &#8211; Page No. 352<\/h3>\n<p>Question 12.<br \/>\nMateo has 8 liters of punch for a party. Each glass holds \\(\\frac{1}{5}\\) liter of punch. How many glasses can Mateo fill with punch?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-8.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions Mid-Chapter Checkpoint img 8\" width=\"408\" height=\"97\" \/><br \/>\n______ glasses<\/p>\n<p>Answer: 40<\/p>\n<p>Explanation:<br \/>\nDraw the rectangle that represents the number of liters.<br \/>\nEach rectangle is equal to 1 liter.<br \/>\nEach rectangle contains a one-fifth liter of punch.<br \/>\nNow multiply the fifths with the number of liters.<br \/>\n8 \u00d7 5 = 40<br \/>\n40 glasses can Mateo fill with a punch.<\/p>\n<p>Question 13.<br \/>\nFour friends share 3 sheets of construction paper equally. What fraction of a sheet of paper does each friend get?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-9.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions Mid-Chapter Checkpoint img 9\" width=\"233\" height=\"97\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\nThe rectangle represents the sheet of the construction paper.<br \/>\nDivide each rectangle into fourths.<br \/>\n3 \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{3}{4}\\)<br \/>\nEach friend gets \\(\\frac{3}{4}\\) sheet of paper.<\/p>\n<p>Question 14.<br \/>\nCaleb and 2 friends are sharing \\(\\frac{1}{2}\\) quart of milk equally. What fraction of a quart of milk does each of the 3 friends get?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) quart of milk<\/p>\n<p>Answer: \\(\\frac{1}{6}\\) quart of milk<\/p>\n<p>Explanation:<br \/>\nCaleb and 2 friends are sharing \\(\\frac{1}{2}\\) quart of milk equally.<br \/>\n\\(\\frac{1}{2}\\) \u00f7 3 = \\(\\frac{1}{6}\\)<br \/>\nTherefore each of 3 friend gets \\(\\frac{1}{6}\\) quart of milk.<\/p>\n<p>Question 15.<br \/>\nToni and Makayla are working on a craft project. Makayla has 3 yards of ribbon and Toni has 4 yards of ribbon. They cut all the ribbon into pieces that are \\(\\frac{1}{4}\\) yard long. How many pieces of ribbon do they have?<br \/>\nMakayla: __________ pieces of ribbon<br \/>\nToni: __________ pieces of ribbon<\/p>\n<p>Answer:<br \/>\nMakayla: <span style=\"text-decoration: underline;\">12<\/span> pieces of ribbon<br \/>\nToni: <span style=\"text-decoration: underline;\">16<\/span> pieces of ribbon<\/p>\n<p>Explanation:<br \/>\nToni and Makayla are working on a craft project.<br \/>\nMakayla has 3 yards of ribbon and Toni has 4 yards of ribbon.<br \/>\nThey cut all the ribbon into pieces that are \\(\\frac{1}{4}\\) yard long.<br \/>\nNow multiply the number of yards of ribbon that Makayla has with \\(\\frac{1}{4}\\)<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\) = 12 pieces of ribbon<br \/>\nMultiply the number of yards of ribbon that Toni has with \\(\\frac{1}{4}\\)<br \/>\n4 \u00f7 \\(\\frac{1}{4}\\) = 16 pieces of ribbon<\/p>\n<h3><a id=\"Share_and_Show_Page_No_355\"><\/a>Share and Show &#8211; Page No. 355<\/h3>\n<p>Question 1.<br \/>\nUse the model to complete the number sentence.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-10.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 10\" width=\"136\" height=\"97\" \/><br \/>\n2 \u00f7 \\(\\frac{1}{4}\\) = 2 \u00d7 ______ = ______<\/p>\n<p>Answer: 2 \u00d7 4 = 8<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 2 rectangles and divide each rectangle into fourths.<\/li>\n<li>When you divide 1 rectangle into fourths you are finding the number of fourths in 2 rectangles.<\/li>\n<li>There are 2 groups of rectangles. There are 8 fourths<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>Question 2.<br \/>\nUse the model to complete the number sentence.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-11.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 11\" width=\"123\" height=\"110\" \/><br \/>\n\\(\\frac{1}{6}\\) \u00f7 2 = _ \u00d7 \\(\\frac{1}{6}\\) = _<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw the rectangle and divide the rectangle into sixths.<\/li>\n<li>The rectangle is divided into 2 equal parts. You can find 12 sixths.<\/li>\n<li>In the figure, you can see one shaded part in the rectangle.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>\\(\\frac{1}{6}\\) \u00d7 \\(\\frac{1}{2}\\) = \\(\\frac{1}{12}\\)<\/p>\n<p><strong>Write a related multiplication sentence to solve.<\/strong><\/p>\n<p>Question 3.<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\)<br \/>\n______<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 3 rectangles and divide each rectangle into fourths.<\/li>\n<li>When you divide 1 rectangle into fourths you are finding the number of fourths in 3 rectangles.<\/li>\n<li>There are 3 groups of rectangles. There are 12 fourths<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>3 \u00d7 4 = 12<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\) = 12<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{5}\\) \u00f7 4<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{20}\\)<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw the rectangle and divide the rectangle into fifths.<\/li>\n<li>The rectangle is divided into 4 equal parts. You can find 20 fifths.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>\\(\\frac{1}{5}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{20}\\)<br \/>\n\\(\\frac{1}{5}\\) \u00f7 4 = \\(\\frac{1}{20}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{9}\\) \u00f7 3<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{27}\\)<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 3 rectangle and divide the rectangle into ninths.<\/li>\n<li>The rectangle is divided into 3 equal parts. You can find 27 ninths.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>\\(\\frac{1}{9}\\) \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{1}{27}\\)<br \/>\n\\(\\frac{1}{9}\\) \u00f7 3 = \\(\\frac{1}{27}\\)<\/p>\n<p>Question 6.<br \/>\n7 \u00f7 \\(\\frac{1}{2}\\)<br \/>\n______<\/p>\n<p>Answer: 14<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 7 rectangles and divide each rectangle into halves.<\/li>\n<li>When you divide 7 rectangles into halves you are finding the number of halves in 7 rectangles.<\/li>\n<li>There are 7 groups of rectangles. There are 14 halves.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>7 \u00d7 2 = 14<br \/>\n7 \u00f7 \\(\\frac{1}{2}\\) = 14<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write a related multiplication sentence to solve.<\/strong><\/p>\n<p>Question 7.<br \/>\n5 \u00f7 \\(\\frac{1}{3}\\)<br \/>\n______<\/p>\n<p>Answer: 15<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 5 rectangles and divide each rectangle into thirds.<\/li>\n<li>When you divide 5 rectangles into halves you are finding the number of thirds in 5 rectangles.<\/li>\n<li>There are 5 groups of rectangles. There are 15 thirds.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>5 \u00d7 3 = 15<br \/>\n5 \u00f7 \\(\\frac{1}{3}\\) = 15<\/p>\n<p>Question 8.<br \/>\n8 \u00f7 \\(\\frac{1}{2}\\)<br \/>\n______<\/p>\n<p>Answer: 16<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 8 rectangles and divide each rectangle into halves.<\/li>\n<li>When you divide 8 rectangles into halves you are finding the number of thirds in 8 rectangles.<\/li>\n<li>There are 8 groups of rectangles. There are 16 halves.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>8 \u00d7 2 = 16<br \/>\n8 \u00f7 \\(\\frac{1}{2}\\) = 16<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{1}{7}\\) \u00f7 4<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{28}\\)<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{1}{7}\\) \u00f7 4<\/p>\n<ul>\n<li>Draw 4 rectangles and divide the rectangle into sevenths.<\/li>\n<li>The rectangle is divided into 4 equal parts. You can find 28 sevenths.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>\\(\\frac{1}{7}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{28}\\)<br \/>\nThus, \\(\\frac{1}{7}\\) \u00f7 4 = \\(\\frac{1}{28}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{1}{2}\\) \u00f7 9<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{18}\\)<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{1}{2}\\) \u00f7 9<\/p>\n<ul>\n<li>Draw 9 rectangles and divide the rectangle into halves.<\/li>\n<li>The rectangle is divided into 9 equal parts. You can find 18 halves.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{9}\\) = \\(\\frac{1}{18}\\)<br \/>\n\\(\\frac{1}{2}\\) \u00f7 9 = \\(\\frac{1}{18}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{3}\\) \u00f7 4<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{3}\\) \u00f7 4<\/p>\n<ul>\n<li>Draw 4 rectangles and divide the rectangle into thirds.<\/li>\n<li>The rectangle is divided into 4 equal parts. You can find 12 thirds.<\/li>\n<li>Complete the number sentence.<\/li>\n<\/ul>\n<p>\\(\\frac{1}{3}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{12}\\)<br \/>\n\\(\\frac{1}{3}\\) \u00f7 4 = \\(\\frac{1}{12}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 12<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{48}\\)<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 12 rectangles and divide the rectangle into fourths.<\/li>\n<li>The rectangle is divided into 12 equal parts. You can find 48 thirds.<\/li>\n<li>Complete the number sentence.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 12 = \\(\\frac{1}{4}\\) \u00d7 \\(\\frac{1}{12}\\) = \\(\\frac{1}{48}\\)<\/li>\n<\/ul>\n<p>Question 13.<br \/>\n6 \u00f7 \\(\\frac{1}{5}\\)<br \/>\n______<\/p>\n<p>Answer: 30<\/p>\n<p>Explanation:<\/p>\n<ul>\n<li>Draw 6 rectangles and divide each rectangle into fifths.<\/li>\n<li>When you divide 6 rectangles into fifths you are finding the number of fifths in 6 rectangles.<\/li>\n<li>There are 6 groups of rectangles. There are 30 fifths.<\/li>\n<li>Complete the number sentence.<br \/>\n6 \u00d7 5 = 30<br \/>\n6 \u00f7 \\(\\frac{1}{5}\\) = 30<\/li>\n<\/ul>\n<p>Question 14.<br \/>\n\\(\\frac{2}{3}\\) \u00f7 3<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{9}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}\\) \u00f7 3<\/p>\n<ul>\n<li>Draw 3 rectangles and divide the rectangle into two thirds.<\/li>\n<li>The rectangle is divided into 3 equal parts.<\/li>\n<li>Complete the number sentence.<br \/>\n\\(\\frac{2}{3}\\) \u00f7 3 = \\(\\frac{2}{3}\\) \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{2}{9}\\)<\/li>\n<\/ul>\n<h3><a id=\"UNLOCK_the_Problem_Page_No_356\"><\/a>UNLOCK the Problem &#8211; Page No. 356<\/h3>\n<p>Question 15.<br \/>\nThe slowest mammal is the three-toed sloth. The top speed of a three-toed sloth on the ground is about \\(\\frac{1}{4}\\) foot per second. The top speed of a giant tortoise on the ground is about \\(\\frac{1}{3}\\) foot per second. How much longer would it take a three-toed sloth than a giant tortoise to travel 10 feet on the ground?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4386\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-12.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 12\" width=\"260\" height=\"176\" \/><br \/>\na. What do you need to find?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: We Need to find How much longer would it take a three-toed sloth than a giant tortoise to travel 10 feet on the ground.<\/p>\n<p>Question 15.<br \/>\nb. What operations will you use to solve the problem?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nThe operations which we will use is:<br \/>\nMultiplication to find how many seconds three-toed sloth tortoise need to travel 10 feet.<br \/>\nSubtraction to finds how second longer need three-toed to travel 10 feet.<\/p>\n<p>Question 15.<br \/>\nc. Show the steps you used to solve the problem.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nTo find how much longer would it take a three-toed sloth than a giant tortoise to travel 10 feet on the ground, for first we will find how much seconds a three-toed sloth and giant tortoise need to travel 10 feet.<br \/>\nThe top speed of a three-toed sloth on the ground is about 1\/4 foot per second, so to find how much seconds need a three-toed sloth to travel 10 feet we will find as:<br \/>\n10 feet \u00f7 1\/4 foot per second = 10 \u00d7 4 = 40 seconds<br \/>\nThe top speed of a giant tortoise on the ground is about 1\/3 foot per second, so to find how much seconds need a giant tortoise to travel 10 feet we will find as:<br \/>\n10 feet \u00f7 1\/3 foot per second = 10 \u00d7 3 = 30 seconds<\/p>\n<p>Question 15.<br \/>\nd. Complete the sentences.<br \/>\nA three-toed sloth would travel 10 feet in _____ seconds.<br \/>\nA giant tortoise would travel 10 feet in _____ seconds.<br \/>\nSince _____ &#8211; _____ = _____, it would take a three-toed sloth _____ seconds longer to travel 10 feet.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nA three-toed sloth would travel 10 feet in <span style=\"text-decoration: underline;\">40<\/span> seconds.<br \/>\nA giant tortoise would travel 10 feet in <span style=\"text-decoration: underline;\">30<\/span> seconds.<br \/>\nSince <span style=\"text-decoration: underline;\">40<\/span> &#8211; <span style=\"text-decoration: underline;\">30<\/span> = <span style=\"text-decoration: underline;\">10<\/span>, it would take a three-toed sloth <span style=\"text-decoration: underline;\">10<\/span> seconds longer to travel 10 feet.<\/p>\n<p>Question 15.<br \/>\ne. Fill in the bubble for the correct answer choice.<br \/>\nOptions:<br \/>\na. 10 seconds<br \/>\nb. 30 seconds<br \/>\nc. 40 seconds<br \/>\nd. 70 seconds<\/p>\n<p>Answer: 10 seconds<\/p>\n<p>Explanation:<br \/>\nA three-toed sloth would travel 10 feet in 40 seconds.<br \/>\nA giant tortoise would travel 10 feet in 30 seconds.<br \/>\nSince 40 &#8211; 30 = 10, it would take a three-toed sloth 10 seconds longer to travel 10 feet.<br \/>\nThe correct answer is option A.<\/p>\n<p>Question 16.<br \/>\nRobert divides 8 cups of almonds into \\(\\frac{1}{8}\\)-cup servings. How many servings does he have?<br \/>\nOptions:<br \/>\na. 1<br \/>\nb. 16<br \/>\nc. 8<br \/>\nd. 64<\/p>\n<p>Answer: 64<\/p>\n<p>Explanation:<br \/>\nRobert divides 8 cups of almonds into \\(\\frac{1}{8}\\)-cup servings.<br \/>\n8 \u00d7 \\(\\frac{1}{8}\\)<br \/>\n8 \u00d7 8 = 64<br \/>\nThus robert has 64 servings.<br \/>\nThe correct answer is option D.<\/p>\n<p>Question 17.<br \/>\nTina cuts \\(\\frac{1}{3}\\) yard of fabric into 4 equal parts. What is the length of each part?<br \/>\nOptions:<br \/>\na. 12 yards<br \/>\nb. 1 \\(\\frac{1}{3}\\) yards<br \/>\nc. \\(\\frac{3}{4}\\) yards<br \/>\nd. \\(\\frac{1}{12}\\) yards<\/p>\n<p>Answer: \\(\\frac{1}{12}\\) yards<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{3}\\) \u00f7 4<br \/>\n\\(\\frac{1}{3}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{12}\\) yards<br \/>\nThe correct answer is option D.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_359\"><\/a>Share and Show &#8211; Page No. 359<\/h3>\n<p>Question 1.<br \/>\nComplete the story problem to represent 3 \u00f7 \\(\\frac{1}{4}\\).<br \/>\nCarmen has a roll of paper that is ______ feet long. She cuts the paper into pieces that are each ______ foot long. How many pieces of paper does Carmen have?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\)<br \/>\n3 \u00d7 4 = 12<br \/>\nCarmen has a roll of paper that is 3 feet long.<br \/>\nShe cuts the paper into pieces that are each \\(\\frac{1}{4}\\) foot long.<\/p>\n<p>Question 2.<br \/>\nDraw a diagram to represent the problem. Then solve. April has 6 fruit bars. She cuts the bars into halves. How many \\(\\frac{1}{2}\\)-size bar pieces does she have?<br \/>\n_____ \\(\\frac{1}{2}\\)-size bar pieces<\/p>\n<p>Answer:<br \/>\nFirst, draw 6 rectangles that represent fruit bars.<br \/>\nNow divide each fruit bar into halves.<br \/>\nDividing 6 fruit bards by halves.<br \/>\n6 \u00f7 \\(\\frac{1}{2}\\) = 12<br \/>\nThus she has 12 \\(\\frac{1}{2}\\)-size bar pieces<\/p>\n<p>Question 3.<br \/>\nWrite an equation to represent the problem. Then solve. Two friends share \\(\\frac{1}{4}\\) of a large peach pie. What fraction of the whole pie does each friend get?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that, Two friends share \\(\\frac{1}{4}\\) of a large peach pie.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 2 = \\(\\frac{1}{8}\\)<br \/>\nThus the fraction of the whole pie each friend gets is \\(\\frac{1}{8}\\).<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p>Question 4.<br \/>\nWrite an equation to represent the problem. Then solve.<br \/>\nBenito has \\(\\frac{1}{3}\\) -kilogram of grapes. He divides the grapes equally into 3 bags. What fraction of a kilogram of grapes is in each bag?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{9}\\)<\/p>\n<p>Explanation:<br \/>\nGiven:<br \/>\nBenito has \\(\\frac{1}{3}\\) -kilogram of grapes. He divides the grapes equally into 3 bags.<br \/>\nThe equation for the division is,<br \/>\n\\(\\frac{1}{3}\\) \u00f7 3 = \\(\\frac{1}{9}\\)<br \/>\n\\(\\frac{1}{9}\\) of a kilogram of grapes is in each bag.<\/p>\n<p>Question 5.<br \/>\nDraw a diagram to represent the problem. Then solve.<br \/>\nSonya has 5 sandwiches. She cuts each sandwich into fourths. How many \\(\\frac{1}{4}\\)-size sandwich pieces does she have?<br \/>\n_____ \\(\\frac{1}{4}\\)-size sandwich pieces<\/p>\n<p>Answer: 20<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nSonya has 5 sandwiches. She cuts each sandwich into fourths.<br \/>\nDividing the number of sandwiches by fourths.<br \/>\n5 \u00f7 \\(\\frac{1}{4}\\) = 5 \u00d7 4 = 20<br \/>\nThus she has 20 \\(\\frac{1}{4}\\)-size sandwich pieces.<\/p>\n<p>Question 6.<br \/>\nWrite a story problem to represent 2 \u00f7 \\(\\frac{1}{8}\\). Then solve.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nErica makes 2 sandwiches and cuts each sandwich into eighths. How many \\(\\frac{1}{8}\\) size sandwich pieces does she have?<br \/>\nAnswer: 2 \u00f7 \\(\\frac{1}{8}\\)<br \/>\n2 \u00f7 \\(\\frac{1}{8}\\) = 16 because 16 \u00d7 \\(\\frac{1}{8}\\) = 2<\/p>\n<h3><a id=\"Problem_Solving _Page_No_360\"><\/a>Problem Solving &#8211; Page No. 360<\/h3>\n<p><strong>Pose a Problem<\/strong><\/p>\n<p>Question 7.<br \/>\nAmy wrote the following problem to represent 4 \u00f7 \\(\\frac{1}{6}\\) .<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-13.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 13\" width=\"314\" height=\"231\" \/><br \/>\nJacob has a board that is 4 feet long. He cuts the board into pieces that are each \\(\\frac{1}{6}\\) foot long. How many pieces does Jacob have now?<br \/>\nThen Amy drew this diagram to solve her problem.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-14.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions img 14\" width=\"317\" height=\"47\" \/><br \/>\nSo, Jacob has 24 pieces.<br \/>\nWrite a new problem using a different item to be divided and different fractional pieces. Then draw a diagram to solve your problem.<br \/>\nPose a problem.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Draw a diagram to solve your problem.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Question 8.<br \/>\nTest Prep Melvin has \\(\\frac{1}{4}\\) of a gallon of fruit punch. He shares the punch equally with each of 2 friends and himself. Which equation represents the fraction of a gallon of punch that each of the friends get?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\) \u00f7 \\(\\frac{1}{3}\\) = n<br \/>\nb. \\(\\frac{1}{4}\\) \u00f7 3 = n<br \/>\nc. 3 \u00f7 \\(\\frac{1}{4}\\) = n<br \/>\nd. 3 \u00f7 4 = n<\/p>\n<p>Answer: \\(\\frac{1}{4}\\) \u00f7 3 = n<\/p>\n<p>Explanation:<br \/>\nMelvin has \\(\\frac{1}{4}\\) of a gallon of fruit punch.<br \/>\nHe shares the punch equally with each of 2 friends and himself.<br \/>\nThe expressions which represents this are \\(\\frac{1}{4}\\) \u00f7 3 or \\(\\frac{1}{4}\\) \u00d7 \\(\\frac{1}{3}\\).<br \/>\nSo, the correct answers \\(\\frac{1}{4}\\) \u00f7 3 = n i.e., option B.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_361\"><\/a>Chapter Review\/Test &#8211; Page No. 361<\/h3>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Divide. Draw a number line or use fraction strips.<\/strong><\/p>\n<p>Question 1.<br \/>\n2 \u00f7 \\(\\frac{1}{3}\\) = ______<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nStep 1: Draw a number line from 0 to 2. Divide the number line into thirds. Label each third on your number line.<br \/>\nStep 2: Skip count by thirds from 0 to 2 to find 2 \u00f7 \\(\\frac{1}{3}\\).<br \/>\nThere are 6 thirds in 2 wholes.<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n2 \u00f7 \\(\\frac{1}{3}\\) = <span style=\"text-decoration: underline;\">6<\/span> because <span style=\"text-decoration: underline;\">6<\/span> \u00d7 \\(\\frac{1}{3}\\) = 2<\/p>\n<p>Question 2.<br \/>\n1 \u00f7 \\(\\frac{1}{5}\\) = ______<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nStep 1: Draw a number line from 0 to 1. Divide the number line into fifths. Label each fifth on your number line.<br \/>\nStep 2: Skip count by fifths from 0 to 1 to find 1 \u00f7 \\(\\frac{1}{5}\\).<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\nStep 3: Record and check the quotient.<br \/>\n1 \u00f7 \\(\\frac{1}{5}\\) = 5 because 5 \u00d7 \\(\\frac{1}{5}\\) = 1<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 3 = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{12}\\)<\/p>\n<p>Explanation:<br \/>\nStep 1: Draw a number line from 0 to 3. Divide the number line into fourths. Label each fourth on your number line.<br \/>\nStep 2: Skip count by fourth from 0 to 3 to find 3 \u00f7 \\(\\frac{1}{4}\\).<br \/>\nYou can use the relationship between multiplication and division to explain and check your solution.<br \/>\n3 \u00f7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{12}\\)<br \/>\nThus \\(\\frac{1}{4}\\) \u00f7 3 = \\(\\frac{1}{12}\\)<\/p>\n<p><strong>Complete the number sentence to solve.<\/strong><\/p>\n<p>Question 4.<br \/>\nThree students share 4 sandwiches equally. How many sandwiches does each student get?<br \/>\n4 \u00f7 3 = ______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: 1 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nTo find what fraction of sandwich each student gets we have to divide the number of sandwiches by the number of students.<br \/>\n4 \u00f7 3 = \\(\\frac{4}{3}\\)<br \/>\nNow convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{4}{3}\\) = 1 \\(\\frac{1}{3}\\)<\/p>\n<p>Question 5.<br \/>\nSix girls share 5 pints of milk equally. What fraction of a pint of milk does each girl get?<br \/>\n5 \u00f7 6 = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that, Six girls share 5 pints of milk equally.<br \/>\nTo find the fraction of a pint of milk each girl gets, we have to divide the pints of milk by the number of girls.<br \/>\n5 \u00f7 6 = \\(\\frac{5}{6}\\)<br \/>\nThus each girl get \\(\\frac{5}{6}\\) pint of milk.<\/p>\n<p><strong>Write a related multiplication sentence to solve.<\/strong><\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 5<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{1}{20}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{4}\\) \u00f7 5<br \/>\n\\(\\frac{1}{4}\\) \u00d7 \\(\\frac{1}{5}\\) = \\(\\frac{1}{20}\\)<br \/>\n\\(\\frac{1}{4}\\) \u00f7 5 = \\(\\frac{1}{20}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{1}{3}\\) \u00f7 9<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{1}{27}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{3}\\) \u00f7 9<br \/>\n\\(\\frac{1}{3}\\) \u00d7 \\(\\frac{1}{9}\\) = \\(\\frac{1}{27}\\)<br \/>\n\\(\\frac{1}{3}\\) \u00f7 9 = \\(\\frac{1}{27}\\)<\/p>\n<p>Question 8.<br \/>\n8 \u00f7 \\(\\frac{1}{2}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: 16<\/p>\n<p>Explanation:<br \/>\n8 \u00f7 \\(\\frac{1}{2}\\)<br \/>\n8 \u00d7 2 = 16<\/p>\n<p>Question 9.<br \/>\n5 \u00f7 \\(\\frac{1}{6}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: 30<\/p>\n<p>Explanation:<br \/>\n5 \u00f7 \\(\\frac{1}{6}\\)<br \/>\n5 \u00d7 6 = 30<\/p>\n<p>Question 10.<br \/>\nWrite a story problem to represent \\(\\frac{1}{2}\\) \u00f7 3. Then solve.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{2}\\) \u00f7 3<br \/>\n\\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{3}\\) = \\(\\frac{1}{6}\\)<\/p>\n<p>Question 11.<br \/>\nWrite a story problem to represent 3 \u00f7 \\(\\frac{1}{2}\\). Then solve.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\n3 \u00f7 \\(\\frac{1}{2}\\)<br \/>\n3 \u00d7 2 = 6<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_362\"><\/a>Chapter Review\/Test &#8211; Page No. 362<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 12.<br \/>\nMichelle cuts \\(\\frac{1}{4}\\) yard of ribbon into 4 equal pieces. What is the length of each piece?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{16}\\) yard<br \/>\nb. \\(\\frac{1}{8}\\) yard<br \/>\nc. 1 yard<br \/>\nd. 16 yard<\/p>\n<p>Answer: \\(\\frac{1}{16}\\) yard<\/p>\n<p>Explanation:<br \/>\nMichelle cuts \\(\\frac{1}{4}\\) yard of ribbon into 4 equal pieces.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 4<br \/>\n\\(\\frac{1}{4}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{1}{16}\\)<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 13.<br \/>\nAshton picked 6 pounds of pecans. He wants to share the pecans equally among 5 of his neighbors. How many pounds of pecans will each neighbor get?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{11}\\) pound<br \/>\nb. \\(\\frac{5}{6}\\) pound<br \/>\nc. 1 \\(\\frac{1}{5}\\) pounds<br \/>\nd. 2 \\(\\frac{1}{5}\\) pounds<\/p>\n<p>Answer: 1 \\(\\frac{1}{5}\\) pounds<\/p>\n<p>Explanation:<br \/>\nAshton picked 6 pounds of pecans.<br \/>\nHe wants to share the pecans equally among 5 of his neighbors.<br \/>\nDivide the number of pounds by the number of neighbors.<br \/>\n= \\(\\frac{6}{5}\\)<br \/>\nNow convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{6}{5}\\) = 1 \\(\\frac{1}{5}\\) pounds<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 14.<br \/>\nIsabella has 5 pounds of trail mix. She divides the mix into \\(\\frac{1}{4}\\)-pound servings. How many \\(\\frac{1}{4}\\)-pound servings does she have?<br \/>\nOptions:<br \/>\na. 1 \\(\\frac{1}{4}\\)<br \/>\nb. 9<br \/>\nc. 16<br \/>\nd. 20<\/p>\n<p>Answer: 1 \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nIsabella has 5 pounds of trail mix.<br \/>\nShe divides the mix into \\(\\frac{1}{4}\\)-pound servings.<br \/>\n5 \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{5}{4}\\)<br \/>\nNow convert the improper fraction to the mixed fraction.<br \/>\n\\(\\frac{5}{4}\\) = 1 \\(\\frac{1}{4}\\)<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 15.<br \/>\nMelvin has \\(\\frac{1}{2}\\) of a cake. He shares the cake equally with each of 2 friends and himself. Which equation represents the fraction of the whole cake that each of the friends get?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{2}\\) \u00f7 \\(\\frac{1}{3}\\) = n<br \/>\nb. \\(\\frac{1}{2}\\) \u00f7 3 = n<br \/>\nc. 2 \u00f7 \\(\\frac{1}{3}\\) = n<br \/>\nd. 2 \u00f7 3 = n<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) \u00f7 3 = n<\/p>\n<p>Explanation:<br \/>\nMelvin has \\(\\frac{1}{2}\\) of a cake.<br \/>\nHe shares the cake equally with each of 2 friends and himself.<br \/>\n\\(\\frac{1}{2}\\) divided by 3.<br \/>\n\\(\\frac{1}{2}\\) \u00f7 3 = n<br \/>\nThus the correct answer is option B.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_363\"><\/a>Chapter Review\/Test &#8211; Page No. 363<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 16.<br \/>\nCamille has 8 feet of rope. She cuts the rope into \\(\\frac{1}{3}\\)-foot pieces for a science project. How many \\(\\frac{1}{3}\\)-foot pieces of rope does she have?<br \/>\nOptions:<br \/>\na. 24<br \/>\nb. 8<br \/>\nc. 3<br \/>\nd. 2 \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: 24<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nCamille has 8 feet of rope.<br \/>\nShe cuts the rope into \\(\\frac{1}{3}\\)-foot pieces for a science project.<br \/>\n8 \u00f7 \\(\\frac{1}{3}\\) = 8 \u00d7 3 = 24<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 17.<br \/>\nAwan makes 3 sandwiches and cuts each sandwich into sixths. How many \\(\\frac{1}{6}\\)-size sandwich pieces does he have?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{2}\\)<br \/>\nb. 2<br \/>\nc. 9<br \/>\nd. 18<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\nGiven that, Awan makes 3 sandwiches and cuts each sandwich into sixths.<br \/>\n3 \u00f7 \\(\\frac{1}{6}\\)<br \/>\n3\/ \\(\\frac{1}{6}\\) = 3 \u00d7 6 = 18<br \/>\nThe correct answer is option D.<\/p>\n<p>Question 18.<br \/>\nEight students share 5 blocks of modeling clay equally. What fraction of one block of modeling clay does each student get?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{40}\\)<br \/>\nb. \\(\\frac{1}{8}\\)<br \/>\nc. \\(\\frac{5}{8}\\)<br \/>\nd. 1 \\(\\frac{3}{5}\\)<\/p>\n<p>Answer: 1 \\(\\frac{3}{5}\\)<\/p>\n<p>Explanation:<br \/>\nEight students share 5 blocks of modeling clay equally.<br \/>\nDivide number of students by the number of blocks.<br \/>\n8 \u00f7 5 = \\(\\frac{8}{5}\\)<br \/>\nConvert the fraction to the mixed fraction.<br \/>\n\\(\\frac{8}{5}\\) = 1 \\(\\frac{3}{5}\\)<br \/>\nSo, the correct answer is option D.<\/p>\n<p>Question 19.<br \/>\nThe diagram below represents which division problem?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-8-Divide-Fractions-img-15.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 8 Divide Fractions hapter Review\/Test img 15\" width=\"391\" height=\"46\" \/><br \/>\nOptions:<br \/>\na. 5 \u00f7 \\(\\frac{1}{3}\\)<br \/>\nb. \\(\\frac{1}{3}\\) \u00f7 5<br \/>\nc. 5 \u00f7 \\(\\frac{1}{4}\\)<br \/>\nd. \\(\\frac{1}{4}\\) \u00f7 5<\/p>\n<p>Answer: 5 \u00f7 \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\nThe figure above shows that there are 5 rectangles. Each rectangle is divided into three parts.<br \/>\nSo, the fraction is one third.<br \/>\nDivide number of blocks by the number of thirds.<br \/>\n5 \u00f7 \\(\\frac{1}{3}\\)<br \/>\nThus the correct answer is option A.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_364\"><\/a>Chapter Review\/Test &#8211; Page No. 364<\/h3>\n<p><strong>Constructed Response<\/strong><\/p>\n<p>Question 20.<br \/>\nDora buys one package each of the 1-pound, 2-pound, and 4-pound packages of ground beef to make hamburgers. How many \\(\\frac{1}{4}\\)-pound hamburgers can she make? Show your work using words, pictures, or numbers.<br \/>\nExplain how you found your answer.<br \/>\n______ hamburgers<\/p>\n<p>Answer: 28 hamburgers<\/p>\n<p>Explanation:<br \/>\nGiven:<br \/>\nDora buys one package each of the 1-pound, 2-pound, and 4-pound packages of ground beef to make hamburgers.<br \/>\nTotal number of pounds = 1 + 2 + 4 = 7 pounds<br \/>\nNow divide number of pounds by \\(\\frac{1}{4}\\)<br \/>\n7 \u00f7 \\(\\frac{1}{4}\\) = 28<br \/>\nThus Dora can make 28 Hamburgers.<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Question 21.<br \/>\nSuppose your teacher gives you the division problem 6 \u00f7 \\(\\frac{1}{5}\\).<br \/>\nA). In the space below, draw a diagram to represent 6 \u00f7 \\(\\frac{1}{5}\\).<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nDraw 6 rectangles and divide each whole by one-fifths fractions.<\/p>\n<p>Question 21.<br \/>\nB). Write a story problem to represent 6 \u00f7 \\(\\frac{1}{5}\\).<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nKyra has 6 feet of rope. If she cuts the rope into \\(\\frac{1}{5}\\) foot pieces for a project. How many \\(\\frac{1}{5}\\)-foot pieces of rope does she have?<\/p>\n<p>Question 21.<br \/>\nC). Use a related multiplication expression to solve your story problem.<br \/>\nShow your work.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nThe multiplication expression to solve the above problem is<br \/>\n6 \u00f7 \\(\\frac{1}{5}\\) = 6\/\\(\\frac{1}{5}\\) = 6 \u00d7 5 = 30<\/p>\n<p>Question 21.<br \/>\nD). Write a division problem that shows a unit fraction divided by a whole number. Write a story problem to represent your division problem. Then solve.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nIsabella has 7 pounds of trail mix. She divides the mix into \\(\\frac{1}{4}\\)-pound servings. How many \\(\\frac{1}{4}\\)-pound servings does she have?<\/p>\n<h3>Conclusion<\/h3>\n<p>Hoping that Go Math Grade 5 Answer Chapter 8 Divide Fractions has helped you to resolve your queries on time. Get a good hold of the concepts and attempt the final exams with confidence. To know more about such related concepts stay connected to our site on a regular basis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Gain Complete Knowledge required on the Concept Divide Fractions by accessing our Go Math Grade 5 Answer Key Chapter 8. You will have Questions belonging to practice problems, mid-chapter, and review tests along with detailed explanations. Those, who are in search of Go Math Grade 5 Answer Key can download them free of cost. 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