Click Here Name Date Class Practice B LESSON 5-8 Adding and Subtracting Mixed Numbers Find each sum or difference. Write each answer in simplest form. 3 1 2 1. 4!8! ! 5!4! 5 1 1 1 4 4. 22!6! " 17!4! 7. 29!3! " 14!6! 7 1 3 3 1 13. 3!5! ! 1!3! 1 1 1 1 3 ! 6. 12!4! ! 5! 12 7 3 ! 8. 5!4! " 1! 11 9. 21!6! ! 1!8! 3 1 2 ! ! 4!! 11. 5! 15 10 12. 25!7! ! 25!5! 2 2 ! 14. 1!5! " 1! 10 3 1 15. 3!5! " 2!2! 4 16. 6!4! " 3!1! 0 2 3. 7!3! ! 3!9! 5. 32!7! " 14!3! 6 3 10. 15!1! " 14!8! 2 2 1 2. 11!5! " 8!3! 1 1 ! 17. 4!5! ! 2! 10 1 18. 32!2! ! 5!3! 1 19. Donald is making a party mix. He bought 2!4! pounds of pecans 1 and 3!5! pounds of walnuts. How many pounds of nuts did Donald buy in all? 4 20. Mrs. Watson’s cookie recipe calls for 3!7! cups of sugar. 2 Mr. Clark’s cookie recipe calls for 4!3! cups of sugar. How much more sugar does Mr. Clark’s recipe use? 5 1 21. Tasha’s cat weighs 15!1! lb. Naomi’s cat weighs 11!3! lb. Can 2 they bring both of their cats to the vet in a carrier that can hold up to 27 pounds? Explain. Copyright © by Holt, Rinehart and Winston. All rights reserved. 73 Holt Middle School Math Course 1 Exploration Recording Sheet 5-8 Adding and Subtracting Mixed Numbers Puzzles, Twisters & Teasers 5-7 The Truth of the Matter LESSON LESSON Decide whether each statement is true or false. Circle your answer. The graph shows typical rainfall levels for a city in the Southwest for the first 5 months of the year. What is the approximate total rainfall from January through May? Use the letters of your true answers and rearrange them to answer the question. 3 Rainfall (in.) M true E false ! 7 3 1 1 10 !! ! !! " !! ! !! " !! 21 21 3 7 21 2. one-fourth plus one-ninth is greater than one-third C true ! 24 3 1. one-third plus one-seventh is greater than one-half P false 14 2 5 1 1 1 9 4 13 !! ! !! " !! ! !! " !! 4 9 36 36 36 Jan 3. four-fifths minus one-third is less than one-half D true ! 12 5 Feb Mar Apr 5 7 4 1 12 !! # !! " !! # !! " !! 15 15 5 3 15 Estimated A true The total rainfall is about 7 inches. 4. three-fourths minus three tenths equals one-half S false ! 3 3 15 6 9 !! # !! " !! # !! " !! 4 10 20 20 20 1 7 9 3 14 23 !! ! !! " !! ! !! " !! 12 24 8 24 24 7 2. 1!2! ! 9!8! # 2!4! 18 ! 19 " 37 4. 4!8! # 1!1! ! 3!4! 0 1 3 1 1 3 1 2!9#2"9 4#1!3"6 5. Discuss the estimation strategies you used. Possible answer: Determined which whole number the fraction was closest to then added or subtracted. What must you find in order to add or subtract unlike fractions? C 1 14 # 10 " 4 Think and Discuss B false 3 9 3 6 3 1 !! # !! " !! # !! " !! " !! 12 12 12 12 4 2 L 27 3. 17!8! ! 19!1! 0 6. three-fourths minus three-twelfths equals one-half The 3 ! 2 ! 1 ! 1 ! 0 " 7 in. ! 1. 13!2! # 9! 32 T false ! L true ! May Estimate each sum or difference. 5. seven-twelfths plus three-eighths is greater than one J true 3 8 3 4 2 3 3 2!4! ! 1!5! ! 1!5! ! !4! ! !8! Actual N false 3 4 A mixed number contains a whole number and a fraction. To estimate with mixed numbers, round each mixed number to the nearest whole number. D 6. Describe a real-world situation in which mixed numbers are added or subtracted. Possible answer: Adding snowfall amounts, measuring lengths of wood. 69 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Middle School Math Course 1 Practice A 5-8 Adding and Subtracting Mixed Numbers LESSON Estimate each sum or difference to the nearest whole number. 1 1 1 4 3 1 Find each sum or difference. Write each answer in simplest form. 1 2. 3!6! ! 1!5! 1 3 2 5 1 1 5 1 1 3 4!4! 1 1 5 1 1 13. 8!2! ! 2!3! 1 1 14. 12!2! # 10!8! 5 1 1 ! ! 1!! 16. 2! 12 8 1 1 3!1! 8 6!2! 1 1 17 1 2 19. 1!3! # 1!2! 1 1 21. 2!3! ! 2!5! 6!1! 0 4!1! 5 1 7!11! hours 2 2 3 4 1 15. 3!5! # 2!2! 1 1 !! 5 3 2 19 50!3! 5 1!1! 0 1 1 ! 17. 4!5! ! 2! 10 1 18. 32!2! ! 5!3! 9 6!1! 0 5 37!6! 1 8 Donald buy in all? 9 5!2! pounds 0 4 2!1! feet 12 1 12. 25!7! ! 25!5! 19. Donald is making a party mix. He bought 2!4! pounds of pecans 1 and 3!5! pounds of walnuts. How many pounds of nuts did 23. Bonita planted an oak tree and an elm tree in her backyard. Three years 1 later, the oak tree was 5!6! feet tall, 1 and the elm tree was 7!2! feet tall. How much taller was the elm tree? 22. Jack babysat for 4!4! hours on Friday 2 night. He babysat for 3!3! hours on Saturday night. How many hours did he babysit in all? 3 ! 14. 1!5! # 1! 10 9 3!2! 0 1 20. 5!5! ! 1!2! 1 ! 16. 6!4! # 3! 10 10 9 1 !! 6 3 13 22!2! 4 7 9!1! 0 11 1 18. 3!7! ! 3!3! 1 3 9. 21!6! ! 1!8! ! ! 4!! 11. 5! 15 10 4!1! 5 8!2! 4 17. 4!6! # 1!9! 3!2! 4 2 7 2!8! 6 3 13. 3!5! ! 1!3! 1 1 15. 7!8! ! 1!6! 3 10!6! 7 5!3! 1 17!3! 5 4!4! 4 5 1!2! 4 1 1 6. 12!4! ! 5!1! 2 7 3 ! 8. 5!4! # 1! 11 1 7 1 1!1! 2 2 1 5 ! # 14!! 10. 15! 12 8 2 1 ! ! 1!! 12. 4! 15 5 2 1 11. 10!3! # 9!4! 5 18!2! 1 1 15!6! 1 6!1! 2 2 10!9! 4 7. 29!3! # 14!6! 5 1 3. 7!3! ! 3!9! 5. 32!7! # 14!3! 7 9. 3!4! ! 2!6! 1 2!2! 2 1 10. 3!6! # 1!3! 2 1 3 ! 8. 10!5! # 8! 10 1 5!1! 2 0 1 1 3!1! 5 4. 22!6! # 17!4! Find each sum or difference. Write each answer in simplest form. 7. 1!2! ! 3!4! 2 2. 11!5! # 8!3! 5 9!8! 6. 1!7! # 1!8! 1 1 1. 4!8! ! 5!4! 1 2!2! 5. 2!3! # 1!6! 1 4!2! 3 3. 4!2! # 2!8! 5 4. 1!2! ! 2!4! Holt Middle School Math Course 1 Practice B 5-8 Adding and Subtracting Mixed Numbers LESSON 1. 2!5! ! 1!4! 71 Copyright © by Holt, Rinehart and Winston. All rights reserved. 20. Mrs. Watson’s cookie recipe calls for 3!7! cups of sugar. 2 Mr. Clark’s cookie recipe calls for 4!3! cups of sugar. How much more sugar does Mr. Clark’s recipe use? 5 2 1!2! cups more 1 1 ! lb. Naomi’s cat weighs 11!! lb. Can 21. Tasha’s cat weighs 15! 12 3 they bring both of their cats to the vet in a carrier that can hold up to 27 pounds? Explain. Yes; because the cats’ combined weight is 26!3! pounds, 3 4 which is less the 27 pounds Copyright © by Holt, Rinehart and Winston. All rights reserved. 72 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Middle School Math Course 1 Copyright © by Holt, Rinehart and Winston. All rights reserved. 124 73 Holt Middle School Math Course 1 Holt Middle School Math Course 1
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