&&66 $GGDQGVXEWUDFWIUDFWLRQVZLWKXQOLNHGHQRPLQDWRUVLQFOXGLQJ NS 2.3*1) Solve simple problems, including ones arising in concrete PL[HGQXPEHUVE\UHSODFLQJJLYHQIUDFWLRQVZLWKHTXLYDOHQWIUDFWLRQVLQVXFKDZD\DVWR situations involving the addition and subtraction of fractions and SURGXFHDQHTXLYDOHQWVXPRUGLIIHUHQFHRIIUDFWLRQVZLWKOLNHGHQRPLQDWRUV)RU mixed numbers (like,QJHQHUDODEFG and unlike denominatorsDGEFEG of 20 or less), and H[DPSOH UNDERLYING SKILLS AND CONCEPTS: find common denominators; add and subtract fractions with same denominators express answers in simplest form. &&66 *1) 6ROYHZRUGSUREOHPVLQYROYLQJDGGLWLRQDQGVXEWUDFWLRQRIIUDFWLRQV UHIHUULQJWRWKHVDPHZKROHLQFOXGLQJFDVHVRIXQOLNHGHQRPLQDWRUVHJE\XVLQJYLVXDO Solve Problems Involving Fractions You can use what you know about adding and subtracting fractions and mixed numbers to solve problems involving fractions. 1 E x am p l E 2 1 Louis ran 2 $ blocks. 2 7 Kim-Lee ran 3 $ blocks. 8 3 Then he ran another $ block. 4 1 Louis ran 3 $ blocks. 4 How far did he run in all? How much farther did Kim-Lee run? First determine whether to add or subtract to solve this problem. Since you want to find the total distance, you would add. Since you are comparing the distances, you would subtract. 1 3 Find 2 $ ! $ . 2 4 3 1 3 5 2$ ! $ " $ ! $ 2 4 2 4 3 10 "$! $ 4 4 13 1 " $ " 3$ 4 4 1 Louis ran 3 $ blocks. 4 page 188 7 1 Find 3 $ # 3 $ . 8 4 13 7 1 31 3$ # 3$ " $ # $ 8 4 8 4 26 31 "$#$ 8 8 5 " $ 8 5 Kim ran $ block further. 8 Chapter 16 – Lesson 4 E – © CSL Associates, Inc. All rights reserved. E x am p l E Name P RAC T I C E Solve each problem. 1 1. Bruce ran 5 miles. Then he ran back. 2 How many miles did he run in all? 2. Judy had 3 yards of ribbon. She used 2 1 yards. How much ribbon does she 3 have left? 11 miles 1 3. Juliette used 2 cups of milk. 4 1 Then she added cup more. 2 How much milk did she use in all? 1 1 yard 3 3 4. Francine had 2 cup of milk. 4 5 She used of a cup. 8 How much did she have left? 3 2 cups 4 E – © CSL Associates, Inc. All rights reserved. 5. 1 Jesse made 2 quart of orange juice. 8 3 He drank of a quart. 4 How much juice was left? 1 2 cups 8 3 6. Greg bought a pole 2 feet long and 8 3 another pole 1 feet long. How many 4 feet of pole did he buy in all? 3 1 quart 8 1 4 feet 8 Math Reasoning Solve Problems Involving Fractions MR 2.4 3 3 7. Carl has 1 quart of grape juice and quart of apple juice. 8 4 He plans to mix them together. Will they fit in a 2-quart pitcher? Explain. 3 3 1 No. 1 2 which is more than 2. 8 4 8 Chapter 16 – Lesson 4 page 189 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:03 Page 128 Name …at home! P RAC T I C E Solve each problem. 1 miles. Then he ran back. 1. Chico ran 5 2 How many miles did he run in all? 2. LaToya had 3 yards of ribbon. She used 2 yards. How much ribbon does she 1 3 have left? 11 miles 1 yards 1 1 cups of milk. 3. Juliette used 2 4 1 cup more. Then she added 2 How much milk did she use in all? 3 3 cup of milk. 4. Daniela had 2 4 5 of a cup. She used 8 How much did she have left? 3 cups 2 4 1 quart of orange juice. Jesse made 2 8 3 of a quart. He drank 4 How much juice was left? 8 3 feet long and 6. Roberto bought a pole 2 8 3 feet long. How many another pole 1 4 feet of pole did he buy in all? 3 quart 1 8 1 feet 4 8 Math Reasoning Solve Problems Involving Fractions MR 2.4 3 quart of grape juice and 3 quart of apple juice. 7. Carl has 1 8 4 He plans to mix them together. Will they fit in a 2-quart pitcher? Explain. 1 which is more than 2. 3 3 2 No. 1 8 page 128 4 8 Home Resource and Homework Chapter 16 Lesson 4 E – © CSL Associates, Inc. All rights reserved. 5. 1 cups 2 MCX94TEG5CH01_32.v7.4.2 2/24/01 19:47 Page 349 Name P RAC T I C E Solve each problem. 1 miles. Then he ran back. 1. Bruce ran 5 2 How many miles did he run in all? 2. Judy had 3 yards of ribbon. She used 2 yards. How much ribbon does she 1 3 have left? 11 miles 1 yard 1 3 1 cups of milk. 3. Juliette used 2 4 3 cup of milk. 4. Francine had 2 4 1 cup more. Then she added 2 How much milk did she use in all? 5 of a cup. She used 8 How much did she have left? 3 cups 2 4 E – © CSL Associates, Inc. All rights reserved. 5. 1 cups 2 1 quart of orange juice. Jesse made 2 8 3 of a quart. He drank 4 How much juice was left? 8 3 feet long and 6. Greg bought a pole 2 8 3 feet long. How many another pole 1 4 feet of pole did he buy in all? 3 quart 1 8 1 feet 4 8 Math Reasoning Solve Problems Involving Fractions MR 2.4 3 quart of grape juice and 3 quart of apple juice. 7. Carl has 1 8 4 He plans to mix them together. Will they fit in a 2-quart pitcher? Explain. 3 3 2 1 which is more than 2. No. 1 8 4 Chapter 16 – Lesson 4 8 Student Book Page page 189 Name …at home! P RAC T I C E Solve each problem. 1 1. Chico ran 5 miles. Then he ran back. 2 How many miles did he run in all? 2. LaToya had 3 yards of ribbon. She used 2 1 yards. How much ribbon does she 3 have left? 11 miles 1 3. Juliette used 2 cups of milk. 4 1 Then she added cup more. 2 How much milk did she use in all? 1 1 yards 3 3 4. Daniela had 2 cup of milk. 4 5 She used of a cup. 8 How much did she have left? 3 2 cups 4 1 Jesse made 2 quart of orange juice. 8 3 He drank of a quart. 4 How much juice was left? 3 6. Roberto bought a pole 2 feet long and 8 3 another pole 1 feet long. How many 4 feet of pole did he buy in all? 3 1 quart 8 1 4 feet 8 Math Reasoning Solve Problems Involving Fractions MR 2.4 3 3 7. Carl has 1 quart of grape juice and quart of apple juice. 8 4 He plans to mix them together. Will they fit in a 2-quart pitcher? Explain. 3 3 1 No. 1 2 which is more than 2. 8 4 8 page 128 Home Resource and Homework Chapter 16 Lesson 4 E – © CSL Associates, Inc. All rights reserved. 5. 1 2 cups 8
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