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er Date: Multiplying and Dividing Fractions and Mixed Numbers Chapt Name: Practice 1 Multiplying Proper Fractions Complete. 3 4 ? % © 2009 Marshall Cavendish International (Singapore) Private Limited 1. 1 3 2 of 4 5 5 3 Multiply. Express the product in simplest form. 2. 3 1 8 2 5 3. 5 7 12 8 5 Lesson 4.1 Multiplying Proper Fractions G5_WB_Ch04.indd 131 131 10/23/09 10:12:10 AM Multiply. Express the product in simplest form. 4. 2 7 11 12 5. 3 4 8 9 6. 7. 1 5 3 of 8 2 9 7 of 11 8. 9. 2 7 5 of 10 1 1 3 8 4 of 9 1 1 132 G5_WB_Ch04.indd 132 1 © 2009 Marshall Cavendish International (Singapore) Private Limited Complete. Express the product in simplest form. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:48 PM Name: Date: Practice 2 Real-World Problems: Multiplying with Proper Fractions Solve. Draw models to help you. 1. Lena has some eggs. She uses 35 of the eggs to make waffles and scrambled eggs. She uses 23 of the eggs she took to make waffles. What fraction of the total number of eggs does Lena use to © 2009 Marshall Cavendish International (Singapore) Private Limited make waffles? 2. Dawn has 56 yard of lace. She uses 45 of it for a dress and the rest for a jewel box. How much lace does she use for the jewel box? Lesson 4.2 Real-World Problems: Multiplying with Proper Fractions G5_WB_Ch04.indd 133 133 1/12/09 6:24:48 PM 3. Tasha finished a job in 34 hour. Megan finished it in 45 of the time Tasha took. How long did Megan take to finish the job? 4. Lily has a bottle containing 78 quart of milk. She pours 45 of it into a bowl. What amount of milk does she pour into the bowl? 5. Raul ran 34 mile in a race. Eduardo ran 27 of the distance that Raul ran. What distance did Eduardo run? 134 G5_WB_Ch04.indd 134 © 2009 Marshall Cavendish International (Singapore) Private Limited Solve. Show your work. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:48 PM Name: Date: Solve. Draw models to help you. 6. Jenny spends 16 of her paycheck and saves 25 of the remaining amount. © 2009 Marshall Cavendish International (Singapore) Private Limited What fraction of her total paycheck is saved? Lesson 4.2 Real-World Problems: Multiplying with Proper Fractions G5_WB_Ch04.indd 135 135 1/12/09 6:24:48 PM Solve. Draw models to help you. 7. In Rod’s family, 34 of the members wear glasses. Of those who do not wear glasses, 13 are male. What fraction of the family are males who © 2009 Marshall Cavendish International (Singapore) Private Limited do not wear glasses? 136 G5_WB_Ch04.indd 136 umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:48 PM Name: Date: Solve. Draw models to help you. 8. Ned folded a set of origami figures. Of this set, 58 are cranes © 2009 Marshall Cavendish International (Singapore) Private Limited and 16 of the remainder are frogs. The rest are grasshoppers. What fraction of the origami figures are grasshoppers? Lesson 4.2 Real-World Problems: Multiplying with Proper Fractions G5_WB_Ch04.indd 137 137 1/12/09 6:24:48 PM 9. 5 are In a garden, 23 of the flowers are roses. Of the roses in the garden, 12 yellow and the rest are red. What fraction of the flowers are red roses? 10. Karen collects local and foreign coins. Of the coins in her collection, 1 2 4 are foreign coins. Of the foreign coins, 5 are from Mexico. What fraction of the collection are foreign coins that are not from Mexico? 138 G5_WB_Ch04.indd 138 © 2009 Marshall Cavendish International (Singapore) Private Limited Solve. Show your work. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:48 PM Name: Date: Practice 3 Multiplying Improper Fractions by Fractions Complete. 1. © 2009 Marshall Cavendish International (Singapore) Private Limited 3 1 2 2 2. 8 1 3 4 Find the product. 3. 11 1 3 2 Lesson 4.3 Multiplying Improper Fractions by Fractions G5_WB_Ch04.indd 139 139 1/12/09 6:24:48 PM Multiply. Express the product in simplest form. Example 4 7 5 6 Method 1 Method 2 4 × 7 = 4 ÷ 2 × 7 5 6 5 6 ÷ 2 4 × 7 = 4 × 7 5 6 5 × 6 = 2 × 7 = 28 = 2 × 7 = 28 ÷ 2 30 3 30 ÷ 2 = 14 15 5 × 3 = 14 15 4. 7 1 4 3 5. 9 2 8 7 6. 8 3 3 10 7. 15 3 9 20 140 G5_WB_Ch04.indd 140 © 2009 Marshall Cavendish International (Singapore) Private Limited 5 umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:48 PM Name: Date: Multiply. Express the product as a whole number or a mixed number in simplest form. Example 2 15 5 4 Method 1 Method 2 2 × 15 = 2 ÷ 2 × 15 5 4 5 4 ÷ 2 2 × 15 = 2 × 15 5 4 5 × 4 © 2009 Marshall Cavendish International (Singapore) Private Limited = = 30 1 × 15 ÷ 5 5 ÷ 5 2 20 = 1 × 3 = 3 = 11 = 11 2 1 × 2 2 2 8. 3 8 4 6 9. 16 21 7 2 10. 15 8 12 5 11. 32 36 9 8 Lesson 4.3 Multiplying Improper Fractions by Fractions G5_WB_Ch04.indd 141 141 1/12/09 6:24:48 PM 12. 7 6 8 5 13. 11 28 12 3 14. 21 15 5 6 15. 25 18 4 10 16. 30 7 9 2 17. 14 5 3 8 142 G5_WB_Ch04.indd 142 © 2009 Marshall Cavendish International (Singapore) Private Limited Multiply. Express the product as a whole number or a mixed number in simplest form. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Practice 4 Multiplying Mixed Numbers and Whole Numbers Complete. 1. 1 © 2009 Marshall Cavendish International (Singapore) Private Limited 12 2 1 12 2 2. 1 23 6 1 23 6 Lesson 4.4 Multiplying Mixed Numbers and Whole Numbers G5_WB_Ch04.indd 143 143 1/12/09 6:24:49 PM Multiply. Express the product as a whole number or a mixed number in simplest form. Example 9 2 13 9 × 21 = 9 × 7 3 3 = 9 × 7 3 = 63 = 21 3. 4 15 15 4. 2 37 28 5. 24 1 56 6. 4 12 18 144 G5_WB_Ch04.indd 144 © 2009 Marshall Cavendish International (Singapore) Private Limited 3 umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Multiply. Express the product as a whole number or a mixed number in simplest form. 7. 2 34 16 8. 32 3 18 © 2009 Marshall Cavendish International (Singapore) Private Limited Multiply. Express the product as a whole number or a mixed number in simplest form. Example 6 2 15 6 × 2 1 = 6 × 11 5 5 = 66 5 = 65 + 1 5 5 = 13 + 1 5 = 13 1 5 9. 4 2 79 10. 5 2 37 Lesson 4.4 Multiplying Mixed Numbers and Whole Numbers G5_WB_Ch04.indd 145 145 1/12/09 6:24:49 PM 11. 2 14 7 12. 8 34 2 13. 1 45 12 14. 12 2 38 15. 21 2 59 16. 26 1 16 146 G5_WB_Ch04.indd 146 © 2009 Marshall Cavendish International (Singapore) Private Limited Multiply. Express the product as a whole number or a mixed number in simplest form. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Practice 5 Real-World Problems: Multiplying Mixed Numbers Solve. Show your work. 1. At a party, there are 8 guests. Each guest eats 2 14 oranges. How many oranges do the 8 guests eat? 1 guest 2 14 oranges © 2009 Marshall Cavendish International (Singapore) Private Limited 8 guests oranges The 8 guests eat a total of 2. oranges. One pound of chicken costs $3. Jim buys 8 23 pounds of chicken. How much does Jim pay for the chicken? 3. The length of a picture is 2 yards and its width is 1 25 yards. Find the area of the picture. Express your answer as a decimal. Lesson 4.5 Real-World Problems: Multiplying Mixed Numbers G5_WB_Ch04.indd 147 147 1/12/09 6:24:49 PM Solve. Show your work. 4. 7 yards long. Sue buys 5 pieces of fabric. Each piece of fabric is 1 10 a. What is the total length of the fabric she buys? 5. Angela works 1 12 hours a day and is paid $7 per hour. She works 5 days a week. How much does Angela earn in 7 weeks? 148 G5_WB_Ch04.indd 148 © 2009 Marshall Cavendish International (Singapore) Private Limited b. One yard of the fabric costs $5. How much does she pay for all 5 pieces of fabric? umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Practice 6 Dividing a Fraction by a Whole Number Shade parts of the model to show the division expression. Then complete. Example 1 3 2 © 2009 Marshall Cavendish International (Singapore) Private Limited 1 3 1 is shaded. 6 1 2 3 1. 1 6 1 6 3 is shaded. 1 3 6 Lesson 4.6 Dividing a Fraction by a Whole Number G5_WB_Ch04.indd 149 149 1/12/09 6:24:49 PM 2. 4 5 2 3. 6 7 3 4. 3 4 2 5. 2 5 3 Divide. Express each quotient in simplest form. 6. 4 5 7 7. 5 8 9 8. 8 9 4 9. 10 11 5 150 G5_WB_Ch04.indd 150 © 2009 Marshall Cavendish International (Singapore) Private Limited Divide. Draw models to help you. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: © 2009 Marshall Cavendish International (Singapore) Private Limited Solve. Show your work. 10. Mr. Chagall’s garden covers 25 of an acre of land. He divides the land into 4 equal sections. What fraction of an acre is each section of the garden? 11. Gordon pours 49 quart of milk from a pitcher equally into 4 mugs. a. Find the amount of milk in each mug. b. Find the amount of milk in 3 mugs. Lesson 4.6 Dividing a Fraction by a Whole Number G5_WB_Ch04.indd 151 151 1/12/09 6:24:49 PM 12. Calvin buys 3 pound of ground beef. He divides the beef into 5 6 equal portions. a. Find the weight of 1 portion of beef. b. Find the weight of 4 portions of beef. 13. Devon buys a plot of land with an area of 5 square kilometer. 6 He divides the land equally into 4 smaller plots. What is the total area of 3 of the smaller plots of land? 152 G5_WB_Ch04.indd 152 © 2009 Marshall Cavendish International (Singapore) Private Limited Solve. Show your work. umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Practice 7 Real-World Problems: Multiplying and Dividing with Fractions © 2009 Marshall Cavendish International (Singapore) Private Limited Solve. Draw models to help you. 1. Evan typed 72 pages of notes one day. He typed 12 of the pages in the morning and 13 of the pages in the afternoon. He typed the rest of the pages in the evening. How many pages of notes did he type in the morning and afternoon? 2. Last Saturday, Jay spent 6 hours playing games, studying and talking with his friends. He spent 25 of the time playing games and 12 of the time studying. How many minutes did he spend talking with his friends? Lesson 4.7 Real-World Problems: Multiplying and Dividing with Fractions G5_WB_Ch04.indd 153 153 1/12/09 6:24:49 PM Solve. Draw models to help you. Joanne earns $720 a week. She spends 1 of her money on groceries 3 and household goods and 3 of the remaining money on rent. How much 4 money does she spend on rent, groceries and household goods? © 2009 Marshall Cavendish International (Singapore) Private Limited 3. 154 G5_WB_Ch04.indd 154 umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: 4. Date: During a triathlon, Sharon swims 1 of the total route and cycles 4 3 of the remaining route. She runs the rest of the route. If she runs 5 © 2009 Marshall Cavendish International (Singapore) Private Limited 3,600 meters, find the total distance of the triathlon route. Lesson 4.7 Real-World Problems: Multiplying and Dividing with Fractions G5_WB_Ch04.indd 155 155 1/12/09 6:24:49 PM Solve. Show your work. Victoria has a 2-pound package of flour. She uses 2 of the flour to 5 make a pizza. She then uses 3 of the remaining flour to make 10 bread. Find the weight of the package of flour that she has left. Express your answer as a decimal. © 2009 Marshall Cavendish International (Singapore) Private Limited 5. 156 G5_WB_Ch04.indd 156 umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Solve. Show your work. 6. Karen collects 6 quart of rainwater. She uses 1 of the water to 7 2 clean her bicycle and uses the remaining water equally for 3 houseplants. © 2009 Marshall Cavendish International (Singapore) Private Limited What volume of water does she use for each houseplant? 7. Ricardo spends 8 hour reading the newspaper. He spends 1 of the 9 4 time reading the world news and splits the remaining time equally between the sports news and the comics. How much time does he spend reading the comics? Lesson 4.7 Real-World Problems: Multiplying and Dividing with Fractions G5_WB_Ch04.indd 157 157 1/12/09 6:24:49 PM Rachel drew a model to solve this problem: Earl pours 1 of a bottle of juice into his glass. Roberto pours 1 of the 3 3 Earl Roberto 1 13 13 13 1 3 of the bottle of juice is left. Did Rachel solve the problem correctly? Explain. 158 G5_WB_Ch04.indd 158 © 2009 Marshall Cavendish International (Singapore) Private Limited remainder into his glass. What fraction of the bottle of juice is left? umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:49 PM Name: Date: Put On Your Thinking Cap! Challenging Practice © 2009 Marshall Cavendish International (Singapore) Private Limited An art teacher has a box of markers. She keeps half of the markers in the box and gives 1 of the other half to group A. The remaining markers 3 were shared equally among the 8 students in group B. What fraction of the whole box does each of the students in group B get? Chapter 4 Multiplying and Dividing Fractions and Mixed Numbers G5_WB_Ch04.indd 159 159 1/12/09 6:24:49 PM Put On Your Thinking Cap! Problem Solving Mimi’s Market sold 24 heads of lettuce one morning. That afternoon 2 of the remaining heads of lettuce were sold. The number of heads 7 left was now 1 of the number the market had at the beginning of 2 © 2009 Marshall Cavendish International (Singapore) Private Limited the day. How many heads of lettuce were there at the beginning of the day? 160 G5_WB_Ch04.indd 160 umbers Chapter 4 Multiplying and Dividing Fractions and Mixed N 1/12/09 6:24:50 PM