Working with mixed fractions 4th-6th sample preview

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Working with mixed fractions 4th-6th sample preview

  1. 1. Math www.CommonCoreSheets.com Name: Answers Next fill in the fraction amounts ( 3 /5 & 4 /5 ). When all of the pieces are filled in we can see that 1 3 /5 + 2 4 /5 = 4 2 /5 1 3 /5 + 2 4 /5 = ? To solve a fraction addition problem one strategy is to shade in the whole amounts first (1 & 2). 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) 3 9 ⁄10 + 1 2 ⁄10 = 2) 2 4 ⁄5 + 2 1 ⁄5 = 3) 2 9 ⁄10 + 2 1 ⁄10 = 4) 2 2 ⁄3 + 3 1 ⁄3 = 5) 2 9 ⁄12 + 3 4 ⁄12 = 6) 2 7 ⁄10 + 2 5 ⁄10 = 7) 3 2 ⁄4 + 2 1 ⁄4 = 8) 1 2 ⁄4 + 2 3 ⁄4 = 9) 3 1 ⁄5 + 2 2 ⁄5 = 10) 1 2 ⁄4 + 2 2 ⁄4 = 11) 2 2 ⁄5 + 1 2 ⁄5 = 12) 3 1 ⁄12 + 2 10 ⁄12 = 1. 5 1 ⁄10 2. 5 3. 5 4. 6 5. 6 1 ⁄12 6. 5 2 ⁄10 7. 5 3 ⁄4 8. 4 1 ⁄4 9. 5 3 ⁄5 10. 4 11. 3 4 ⁄5 12. 5 11 ⁄12 Adding Mixed Fractions (visual) Use the visual model to solve each problem. 1
  2. 2. Math www.CommonCoreSheets.com Name: Answers Next fill in the fraction amounts ( 3 /5 & 4 /5 ). When all of the pieces are filled in we can see that 1 3 /5 + 2 4 /5 = 4 2 /5 1 3 /5 + 2 4 /5 = ? To solve a fraction addition problem one strategy is to shade in the whole amounts first (1 & 2). Answer Key 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) 3 9 ⁄10 + 1 2 ⁄10 = 2) 2 4 ⁄5 + 2 1 ⁄5 = 3) 2 9 ⁄10 + 2 1 ⁄10 = 4) 2 2 ⁄3 + 3 1 ⁄3 = 5) 2 9 ⁄12 + 3 4 ⁄12 = 6) 2 7 ⁄10 + 2 5 ⁄10 = 7) 3 2 ⁄4 + 2 1 ⁄4 = 8) 1 2 ⁄4 + 2 3 ⁄4 = 9) 3 1 ⁄5 + 2 2 ⁄5 = 10) 1 2 ⁄4 + 2 2 ⁄4 = 11) 2 2 ⁄5 + 1 2 ⁄5 = 12) 3 1 ⁄12 + 2 10 ⁄12 = 1. 5 1 ⁄10 2. 5 3. 5 4. 6 5. 6 1 ⁄12 6. 5 2 ⁄10 7. 5 3 ⁄4 8. 4 1 ⁄4 9. 5 3 ⁄5 10. 4 11. 3 4 ⁄5 12. 5 11 ⁄12 Adding Mixed Fractions (visual) Use the visual model to solve each problem. 1
  3. 3. Math Name: www.CommonCoreSheets.com Answers 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) 56 - 32 = 24 2) 72 - 67 = 5 6 6 6 10 10 10 9 2 - 5 2 = 4 0 7 2 - 6 7 = 0 5 6 6 6 10 10 10 3) 25 - 13 = 12 4) 24 - 24 = 0 3 3 3 5 5 5 8 1 - 4 1 = 4 0 4 4 - 4 4 = 0 0 3 3 3 5 5 5 5) 22 - 5 = 17 6) 78 - 15 = 63 4 4 4 8 8 8 5 2 - 1 1 = 4 1 9 6 - 1 7 = 7 7 4 4 4 8 8 8 7) 53 + 20 = 73 8) 47 + 12 = 59 12 12 12 5 5 5 4 5 + 1 8 = 6 1 9 2 + 2 2 = 11 4 12 12 12 5 5 5 9) 39 + 39 = 78 10) 63 + 46 = 109 4 4 4 8 8 8 9 3 + 9 3 = 19 2 7 7 + 5 6 = 13 5 4 4 4 8 8 8 11) 65 + 19 = 84 12) 13 + 11 = 24 12 12 12 3 3 3 5 5 + 1 7 = 7 0 4 1 + 3 2 = 8 0 12 12 12 3 3 3 1. 24 ¤6 2. 5 ¤10 3. 12 ¤3 4. 0 ¤5 5. 17 ¤4 6. 63 ¤8 7. 73 ¤12 8. 59 ¤5 9. 78 ¤4 10. 109 ¤8 11. 84 ¤12 12. 24 ¤3 Adding & Subtracting Improper Fractions Solve the problem. Write your answer as an improper fraction (if possible). 1
  4. 4. Math Name: www.CommonCoreSheets.com Answers Answer Key 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) 56 - 32 = 24 2) 72 - 67 = 5 6 6 6 10 10 10 9 2 - 5 2 = 4 0 7 2 - 6 7 = 0 5 6 6 6 10 10 10 3) 25 - 13 = 12 4) 24 - 24 = 0 3 3 3 5 5 5 8 1 - 4 1 = 4 0 4 4 - 4 4 = 0 0 3 3 3 5 5 5 5) 22 - 5 = 17 6) 78 - 15 = 63 4 4 4 8 8 8 5 2 - 1 1 = 4 1 9 6 - 1 7 = 7 7 4 4 4 8 8 8 7) 53 + 20 = 73 8) 47 + 12 = 59 12 12 12 5 5 5 4 5 + 1 8 = 6 1 9 2 + 2 2 = 11 4 12 12 12 5 5 5 9) 39 + 39 = 78 10) 63 + 46 = 109 4 4 4 8 8 8 9 3 + 9 3 = 19 2 7 7 + 5 6 = 13 5 4 4 4 8 8 8 11) 65 + 19 = 84 12) 13 + 11 = 24 12 12 12 3 3 3 5 5 + 1 7 = 7 0 4 1 + 3 2 = 8 0 12 12 12 3 3 3 1. 24 ¤6 2. 5 ¤10 3. 12 ¤3 4. 0 ¤5 5. 17 ¤4 6. 63 ¤8 7. 73 ¤12 8. 59 ¤5 9. 78 ¤4 10. 109 ¤8 11. 84 ¤12 12. 24 ¤3 Adding & Subtracting Improper Fractions Solve the problem. Write your answer as an improper fraction (if possible). 1
  5. 5. Math www.CommonCoreSheets.com Name: Answers 1-10 94 88 81 75 69 63 56 50 44 38 11-16 31 25 19 13 6 0 1) 8 1 - 7 2 = 4 4 7 5 - 7 2 = 3 4 4 4 2) 7 2 - 4 4 = 5 5 6 7 - 4 4 = 2 3 5 5 5 3) 8 4 - 3 6 = 8 8 7 12 - 3 6 = 4 6 8 8 8 4) 7 3 - 5 5 = 9 9 6 12 - 5 5 = 1 7 9 9 9 5) 2 2 - 1 3 = 5 5 1 7 - 1 3 = 4 5 5 5 6) 5 2 - 1 3 = 10 10 4 12 - 1 3 = 3 9 10 10 10 7) 2 1 - 1 2 = 7 7 1 8 - 1 2 = 6 7 7 7 8) 9 2 - 5 3 = 4 4 8 6 - 5 3 = 3 3 4 4 4 9) 2 7 - 1 8 = 9 9 1 16 - 1 8 = 8 9 9 9 10) 9 1 - 1 5 = 8 8 8 9 - 1 5 = 7 4 8 8 8 11) 2 1 - 1 2 = 8 8 1 9 - 1 2 = 7 8 8 8 12) 2 4 - 1 8 = 10 10 1 14 - 1 8 = 6 10 10 10 13) 5 1 - 4 2 = 3 3 4 4 - 4 2 = 2 3 3 3 14) 10 3 - 7 7 = 10 10 9 13 - 7 7 = 2 6 10 10 10 15) 10 1 - 5 2 = 4 4 9 5 - 5 2 = 4 3 4 4 4 16) 4 2 - 2 4 = 5 5 3 7 - 2 4 = 1 3 5 5 5 1. 3 ¤4 2. 2 3 ¤5 3. 4 6 ¤8 4. 1 7 ¤9 5. 4 ¤5 6. 3 9 ¤10 7. 6 ¤7 8. 3 3 ¤4 9. 8 ¤9 10. 7 4 ¤8 11. 7 ¤8 12. 6 ¤10 13. 2 ¤3 14. 2 6 ¤10 15. 4 3 ¤4 16. 1 3 ¤5 Subtracting Fractions (with Regrouping) Use regrouping to solve. Make sure your answer is not an improper fraction. 6
  6. 6. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 94 88 81 75 69 63 56 50 44 38 11-16 31 25 19 13 6 0 1) 8 1 - 7 2 = 4 4 7 5 - 7 2 = 3 4 4 4 2) 7 2 - 4 4 = 5 5 6 7 - 4 4 = 2 3 5 5 5 3) 8 4 - 3 6 = 8 8 7 12 - 3 6 = 4 6 8 8 8 4) 7 3 - 5 5 = 9 9 6 12 - 5 5 = 1 7 9 9 9 5) 2 2 - 1 3 = 5 5 1 7 - 1 3 = 4 5 5 5 6) 5 2 - 1 3 = 10 10 4 12 - 1 3 = 3 9 10 10 10 7) 2 1 - 1 2 = 7 7 1 8 - 1 2 = 6 7 7 7 8) 9 2 - 5 3 = 4 4 8 6 - 5 3 = 3 3 4 4 4 9) 2 7 - 1 8 = 9 9 1 16 - 1 8 = 8 9 9 9 10) 9 1 - 1 5 = 8 8 8 9 - 1 5 = 7 4 8 8 8 11) 2 1 - 1 2 = 8 8 1 9 - 1 2 = 7 8 8 8 12) 2 4 - 1 8 = 10 10 1 14 - 1 8 = 6 10 10 10 13) 5 1 - 4 2 = 3 3 4 4 - 4 2 = 2 3 3 3 14) 10 3 - 7 7 = 10 10 9 13 - 7 7 = 2 6 10 10 10 15) 10 1 - 5 2 = 4 4 9 5 - 5 2 = 4 3 4 4 4 16) 4 2 - 2 4 = 5 5 3 7 - 2 4 = 1 3 5 5 5 1. 3 ¤4 2. 2 3 ¤5 3. 4 6 ¤8 4. 1 7 ¤9 5. 4 ¤5 6. 3 9 ¤10 7. 6 ¤7 8. 3 3 ¤4 9. 8 ¤9 10. 7 4 ¤8 11. 7 ¤8 12. 6 ¤10 13. 2 ¤3 14. 2 6 ¤10 15. 4 3 ¤4 16. 1 3 ¤5 Subtracting Fractions (with Regrouping) Use regrouping to solve. Make sure your answer is not an improper fraction. 6
  7. 7. Math Name: www.CommonCoreSheets.com Answers 1-10 90 80 70 60 50 40 30 20 10 0 1) Mike bought a box of fruit that weighed 9 6 ¤10 kilograms. If he bought a second box that weighed 7 5 ¤10 kilograms, what is the combined weight of both boxes? 2) On Saturday a restaurant used 5 5 ¤7 cans of vegetables. On Sunday they used another 4 2 ¤7 cans. What is the total amount of vegetables they used? 3) On Monday Sarah spent 5 4 ¤6 hours studying. On Tuesday she spent another 4 3 ¤6 hours studying. What is the combined length of time she spent studying? 4) Wendy's new puppy weighed 3 5 ¤7 pounds. After a month it had gained 8 1 ¤7 pounds. What is the weight of the puppy after a month? 5) Oliver drew a line that was 5 1 ¤6 inches long. If he drew a second line that was 6 2 ¤6 inches longer, what is the length of the second line? 6) Olivia bought a bamboo plant that was 8 2 ¤5 feet high. When she got it home she cut 3 3 ¤5 feet off of it. How tall was the plant after she cut it down? 7) A full garbage truck weighed 6 7 ¤10 tons. After dumping the garbage, the truck weighed 2 5 ¤10 tons. What was the weight of the garbage? 8) Frank drew a line that was 10 2 ¤3 inches long. If he drew a second line that was 3 1 ¤3 inches long, what is the difference between the length of the two lines? 9) A king size chocolate bar was 12 6 ¤9 inches long. The regular size bar was 5 4 ¤9 inches long. What is the difference in length between the two bars? 10) A coach filled up a cooler with water until it weighed 7 3 ¤8 pounds. After the game the cooler weighed 3 6 ¤8 pounds. How many pounds lighter was the cooler after the game? 1. 17 1 ¤10 2. 10 3. 10 1 ¤6 4. 11 6 ¤7 5. 11 3 ¤6 6. 4 4 ¤5 7. 4 2 ¤10 8. 7 1 ¤3 9. 7 2 ¤9 10. 3 5 ¤8 Adding & Subtracting Fractions Solve each problem. 3
  8. 8. Math Name: www.CommonCoreSheets.com Answers Answer Key 1-10 90 80 70 60 50 40 30 20 10 0 1) Mike bought a box of fruit that weighed 9 6 ¤10 kilograms. If he bought a second box that weighed 7 5 ¤10 kilograms, what is the combined weight of both boxes? 2) On Saturday a restaurant used 5 5 ¤7 cans of vegetables. On Sunday they used another 4 2 ¤7 cans. What is the total amount of vegetables they used? 3) On Monday Sarah spent 5 4 ¤6 hours studying. On Tuesday she spent another 4 3 ¤6 hours studying. What is the combined length of time she spent studying? 4) Wendy's new puppy weighed 3 5 ¤7 pounds. After a month it had gained 8 1 ¤7 pounds. What is the weight of the puppy after a month? 5) Oliver drew a line that was 5 1 ¤6 inches long. If he drew a second line that was 6 2 ¤6 inches longer, what is the length of the second line? 6) Olivia bought a bamboo plant that was 8 2 ¤5 feet high. When she got it home she cut 3 3 ¤5 feet off of it. How tall was the plant after she cut it down? 7) A full garbage truck weighed 6 7 ¤10 tons. After dumping the garbage, the truck weighed 2 5 ¤10 tons. What was the weight of the garbage? 8) Frank drew a line that was 10 2 ¤3 inches long. If he drew a second line that was 3 1 ¤3 inches long, what is the difference between the length of the two lines? 9) A king size chocolate bar was 12 6 ¤9 inches long. The regular size bar was 5 4 ¤9 inches long. What is the difference in length between the two bars? 10) A coach filled up a cooler with water until it weighed 7 3 ¤8 pounds. After the game the cooler weighed 3 6 ¤8 pounds. How many pounds lighter was the cooler after the game? 1. 17 1 ¤10 2. 10 3. 10 1 ¤6 4. 11 6 ¤7 5. 11 3 ¤6 6. 4 4 ¤5 7. 4 2 ¤10 8. 7 1 ¤3 9. 7 2 ¤9 10. 3 5 ¤8 Adding & Subtracting Fractions Solve each problem. 3
  9. 9. Math www.CommonCoreSheets.com Name: Answers 1-10 11-20 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 1) 8 ¤10 + 17 ¤100 = 2) 4 ¤10 + 13 ¤100 = 3) 78 ¤100 + 1 ¤10 = 4) 38 ¤100 + 4 ¤10 = 5) 1 ¤10 + 4 ¤100 = 6) 7 ¤10 + 14 ¤100 = 7) 12 ¤100 + 2 ¤10 = 8) 7 ¤10 + 21 ¤100 = 9) 3 ¤10 + 38 ¤100 = 10) 23 ¤100 + 3 ¤10 = 11) 4 ¤10 + 27 ¤100 = 12) 7 ¤10 + 6 ¤100 = 13) 6 ¤10 + 27 ¤100 = 14) 45 ¤100 + 5 ¤10 = 15) 4 ¤100 + 3 ¤10 = 16) 3 ¤10 + 15 ¤100 = 17) 27 ¤100 + 5 ¤10 = 18) 6 ¤10 + 38 ¤100 = 19) 59 ¤100 + 3 ¤10 = 20) 82 ¤100 + 1 ¤10 = 1. 97 ¤100 2. 53 ¤100 3. 88 ¤100 4. 78 ¤100 5. 14 ¤100 6. 84 ¤100 7. 32 ¤100 8. 91 ¤100 9. 68 ¤100 10. 53 ¤100 11. 67 ¤100 12. 76 ¤100 13. 87 ¤100 14. 95 ¤100 15. 34 ¤100 16. 45 ¤100 17. 77 ¤100 18. 98 ¤100 19. 89 ¤100 20. 92 ¤100 Adding 10ths and 100ths Find the sum of the problems. 1
  10. 10. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 11-20 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 1) 8 ¤10 + 17 ¤100 = 2) 4 ¤10 + 13 ¤100 = 3) 78 ¤100 + 1 ¤10 = 4) 38 ¤100 + 4 ¤10 = 5) 1 ¤10 + 4 ¤100 = 6) 7 ¤10 + 14 ¤100 = 7) 12 ¤100 + 2 ¤10 = 8) 7 ¤10 + 21 ¤100 = 9) 3 ¤10 + 38 ¤100 = 10) 23 ¤100 + 3 ¤10 = 11) 4 ¤10 + 27 ¤100 = 12) 7 ¤10 + 6 ¤100 = 13) 6 ¤10 + 27 ¤100 = 14) 45 ¤100 + 5 ¤10 = 15) 4 ¤100 + 3 ¤10 = 16) 3 ¤10 + 15 ¤100 = 17) 27 ¤100 + 5 ¤10 = 18) 6 ¤10 + 38 ¤100 = 19) 59 ¤100 + 3 ¤10 = 20) 82 ¤100 + 1 ¤10 = 1. 97 ¤100 2. 53 ¤100 3. 88 ¤100 4. 78 ¤100 5. 14 ¤100 6. 84 ¤100 7. 32 ¤100 8. 91 ¤100 9. 68 ¤100 10. 53 ¤100 11. 67 ¤100 12. 76 ¤100 13. 87 ¤100 14. 95 ¤100 15. 34 ¤100 16. 45 ¤100 17. 77 ¤100 18. 98 ¤100 19. 89 ¤100 20. 92 ¤100 Adding 10ths and 100ths Find the sum of the problems. 1
  11. 11. Math www.CommonCoreSheets.com Name: Answers 1-10 11-20 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 1) 1 ¤10 + 29 ¤100 = 2) 4 ¤10 + 46 ¤100 = 3) 8 ¤10 + 11 ¤100 = 4) 1 ¤10 + 31 ¤100 = 5) 5 ¤10 + 8 ¤100 = 6) 58 ¤100 + 3 ¤10 = 7) 1 ¤10 + 83 ¤100 = 8) 63 ¤100 + 2 ¤10 = 9) 31 ¤100 + 4 ¤10 = 10) 2 ¤10 + 73 ¤100 = 11) 29 ¤100 + 6 ¤10 = 12) 5 ¤10 + 28 ¤100 = 13) 17 ¤100 + 6 ¤10 = 14) 37 ¤100 + 3 ¤10 = 15) 2 ¤100 + 1 ¤10 = 16) 2 ¤100 + 7 ¤10 = 17) 7 ¤10 + 16 ¤100 = 18) 4 ¤10 + 17 ¤100 = 19) 3 ¤100 + 8 ¤10 = 20) 9 ¤100 + 6 ¤10 = 1. 39 ¤100 2. 86 ¤100 3. 91 ¤100 4. 41 ¤100 5. 58 ¤100 6. 88 ¤100 7. 93 ¤100 8. 83 ¤100 9. 71 ¤100 10. 93 ¤100 11. 89 ¤100 12. 78 ¤100 13. 77 ¤100 14. 67 ¤100 15. 12 ¤100 16. 72 ¤100 17. 86 ¤100 18. 57 ¤100 19. 83 ¤100 20. 69 ¤100 Adding 10ths and 100ths Find the sum of the problems. 8
  12. 12. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 11-20 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 1) 1 ¤10 + 29 ¤100 = 2) 4 ¤10 + 46 ¤100 = 3) 8 ¤10 + 11 ¤100 = 4) 1 ¤10 + 31 ¤100 = 5) 5 ¤10 + 8 ¤100 = 6) 58 ¤100 + 3 ¤10 = 7) 1 ¤10 + 83 ¤100 = 8) 63 ¤100 + 2 ¤10 = 9) 31 ¤100 + 4 ¤10 = 10) 2 ¤10 + 73 ¤100 = 11) 29 ¤100 + 6 ¤10 = 12) 5 ¤10 + 28 ¤100 = 13) 17 ¤100 + 6 ¤10 = 14) 37 ¤100 + 3 ¤10 = 15) 2 ¤100 + 1 ¤10 = 16) 2 ¤100 + 7 ¤10 = 17) 7 ¤10 + 16 ¤100 = 18) 4 ¤10 + 17 ¤100 = 19) 3 ¤100 + 8 ¤10 = 20) 9 ¤100 + 6 ¤10 = 1. 39 ¤100 2. 86 ¤100 3. 91 ¤100 4. 41 ¤100 5. 58 ¤100 6. 88 ¤100 7. 93 ¤100 8. 83 ¤100 9. 71 ¤100 10. 93 ¤100 11. 89 ¤100 12. 78 ¤100 13. 77 ¤100 14. 67 ¤100 15. 12 ¤100 16. 72 ¤100 17. 86 ¤100 18. 57 ¤100 19. 83 ¤100 20. 69 ¤100 Adding 10ths and 100ths Find the sum of the problems. 8
  13. 13. Math Name: www.CommonCoreSheets.com Answers 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) 4 5 - 5 = 9 3 41 - 15 = 26 9 9 9 2) 3 + 1 = 6 4 6 + 3 = 9 12 12 12 3) 28 - 2 1 = 6 4 56 - 27 = 29 12 12 12 4) 28 + 10 = 6 4 4 8 + 2 6 = 6 14 12 12 12 5) 4 2 - 3 4 = 3 5 70 - 57 = 13 15 15 15 6) 5 1 + 41 = 4 8 5 2 + 5 1 = 10 3 8 8 8 7) 7 - 3 = 9 5 35 - 27 = 8 45 45 45 8) 42 + 3 8 = 8 9 5 18 + 3 64 = 8 82 72 72 72 9) 23 - 26 = 5 8 184 - 130 = 54 40 40 40 10) 3 4 + 3 2 = 7 9 3 36 + 3 14 = 6 50 63 63 63 11) 5 8 - 20 = 9 6 106 - 60 = 46 18 18 18 12) 2 + 2 = 3 5 10 + 6 = 16 15 15 15 1. 2 8 ¤9 2. 9 ¤12 3. 2 5 ¤12 4. 7 2 ¤12 5. 13 ¤15 6. 10 3 ¤8 7. 8 ¤45 8. 9 10 ¤72 9. 1 14 ¤40 10. 6 50 ¤63 11. 2 10 ¤18 12. 1 1 ¤15 Adding & Subtracting Fractions Solve each problem. Write your answer as a mixed number (if possible). 8
  14. 14. Math Name: www.CommonCoreSheets.com Answers Answer Key 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) 4 5 - 5 = 9 3 41 - 15 = 26 9 9 9 2) 3 + 1 = 6 4 6 + 3 = 9 12 12 12 3) 28 - 2 1 = 6 4 56 - 27 = 29 12 12 12 4) 28 + 10 = 6 4 4 8 + 2 6 = 6 14 12 12 12 5) 4 2 - 3 4 = 3 5 70 - 57 = 13 15 15 15 6) 5 1 + 41 = 4 8 5 2 + 5 1 = 10 3 8 8 8 7) 7 - 3 = 9 5 35 - 27 = 8 45 45 45 8) 42 + 3 8 = 8 9 5 18 + 3 64 = 8 82 72 72 72 9) 23 - 26 = 5 8 184 - 130 = 54 40 40 40 10) 3 4 + 3 2 = 7 9 3 36 + 3 14 = 6 50 63 63 63 11) 5 8 - 20 = 9 6 106 - 60 = 46 18 18 18 12) 2 + 2 = 3 5 10 + 6 = 16 15 15 15 1. 2 8 ¤9 2. 9 ¤12 3. 2 5 ¤12 4. 7 2 ¤12 5. 13 ¤15 6. 10 3 ¤8 7. 8 ¤45 8. 9 10 ¤72 9. 1 14 ¤40 10. 6 50 ¤63 11. 2 10 ¤18 12. 1 1 ¤15 Adding & Subtracting Fractions Solve each problem. Write your answer as a mixed number (if possible). 8
  15. 15. Math Name: www.CommonCoreSheets.com Answers 1-10 90 80 70 60 50 40 30 20 10 0 1) A chef bought 7 5 ¤7 pounds of carrots. If he later bought another 10 1 ¤3 pounds of carrots, what is the total weight of carrots he bought? 2) For Halloween, Isabel received 2 3 ¤7 pounds of candy in the first hour and another 4 3 ¤8 pounds the second hour. How much candy did she get total? 3) While exercising Oliver jogged 6 1 ¤2 kilometers and walked 6 4 ¤7 kilometers. What is the total distance he traveled? 4) Katie bought a bamboo plant that was 9 4 ¤6 feet high. After a month it had grown another 4 2 ¤9 feet. What was the total height of the plant after a month? 5) In December it snowed 4 3 ¤8 inches. In January it snowed 2 3 ¤7 inches. What is the combined amount of snow for December and January? 6) A large box of nails weighed 6 4 ¤7 ounces. A small box of nails weighed 5 1 ¤3 ounces. What is the difference in weight between the two boxes? 7) The combined height of two pieces of wood was 7 2 ¤3 inches. If the first piece of wood was 4 5 ¤7 inches high, how tall was the second piece? 8) Adam spent 10 1 ¤2 hours working on his reading and math homework. If he spent 4 5 ¤10 hours on his reading homework, how much time did he spend on his math homework? 9) While exercising Kaleb travelled 14 5 ¤7 kilometers. If he walked 6 7 ¤10 kilometers and jogged the rest, how many kilometers did he jog? 10) Over the weekend Debby spent 5 2 ¤3 hours total studying. If she spent 4 4 ¤10 hours studying on Saturday, how long did she study on Sunday? 1. 18 1 ¤21 2. 6 45 ¤56 3. 13 1 ¤14 4. 13 16 ¤18 5. 6 45 ¤56 6. 1 5 ¤21 7. 2 20 ¤21 8. 6 9. 8 1 ¤70 10. 1 8 ¤30 Adding & Subtracting Fractions Solve each problem. 5
  16. 16. Math Name: www.CommonCoreSheets.com Answers Answer Key 1-10 90 80 70 60 50 40 30 20 10 0 1) A chef bought 7 5 ¤7 pounds of carrots. If he later bought another 10 1 ¤3 pounds of carrots, what is the total weight of carrots he bought? 2) For Halloween, Isabel received 2 3 ¤7 pounds of candy in the first hour and another 4 3 ¤8 pounds the second hour. How much candy did she get total? 3) While exercising Oliver jogged 6 1 ¤2 kilometers and walked 6 4 ¤7 kilometers. What is the total distance he traveled? 4) Katie bought a bamboo plant that was 9 4 ¤6 feet high. After a month it had grown another 4 2 ¤9 feet. What was the total height of the plant after a month? 5) In December it snowed 4 3 ¤8 inches. In January it snowed 2 3 ¤7 inches. What is the combined amount of snow for December and January? 6) A large box of nails weighed 6 4 ¤7 ounces. A small box of nails weighed 5 1 ¤3 ounces. What is the difference in weight between the two boxes? 7) The combined height of two pieces of wood was 7 2 ¤3 inches. If the first piece of wood was 4 5 ¤7 inches high, how tall was the second piece? 8) Adam spent 10 1 ¤2 hours working on his reading and math homework. If he spent 4 5 ¤10 hours on his reading homework, how much time did he spend on his math homework? 9) While exercising Kaleb travelled 14 5 ¤7 kilometers. If he walked 6 7 ¤10 kilometers and jogged the rest, how many kilometers did he jog? 10) Over the weekend Debby spent 5 2 ¤3 hours total studying. If she spent 4 4 ¤10 hours studying on Saturday, how long did she study on Sunday? 1. 18 1 ¤21 2. 6 45 ¤56 3. 13 1 ¤14 4. 13 16 ¤18 5. 6 45 ¤56 6. 1 5 ¤21 7. 2 20 ¤21 8. 6 9. 8 1 ¤70 10. 1 8 ¤30 Adding & Subtracting Fractions Solve each problem. 5
  17. 17. Math www.CommonCoreSheets.com Name: Answers 1-6 83 67 50 33 17 0 1) The table below shows the length of several roads. Road Distance (in miles) Road 1 8 3 ¤5 8 36 ¤60 Road 2 7 1 ¤2 7 30 ¤60 Road 3 3 3 ¤6 3 30 ¤60 Road 4 3 3 ¤4 3 45 ¤60 What is the combined length of all the roads? 2) The table below shows the weight of several vehicles. Car Weight (in tons) Car 1 9 2 ¤6 9 10 ¤30 Car 2 7 3 ¤5 7 18 ¤30 Car 3 9 1 ¤3 9 10 ¤30 Car 4 3 2 ¤5 3 12 ¤30 What is the combined weight of all the cars? 3) The table below shows the weight of several bags. Bag Weight (in kilograms) Bag 1 5 2 ¤4 5 6 ¤12 Bag 2 6 1 ¤2 6 6 ¤12 Bag 3 7 1 ¤3 7 4 ¤12 Bag 4 9 3 ¤4 9 9 ¤12 What is the combined weight of all the bags? 4) The table below shows how many milliliters of ink were in pens. Pen Capacity (in milliliters) Pen 1 4 1 ¤8 4 5 ¤40 Pen 2 1 2 ¤4 1 20 ¤40 Pen 3 5 3 ¤5 5 24 ¤40 Pen 4 7 3 ¤4 7 30 ¤40 What is the combined capacity of all the pens? 5) The table below shows the height of several boxes. Box Height (in inches) Box 1 2 1 ¤5 2 24 ¤120 Box 2 1 1 ¤4 1 30 ¤120 Box 3 4 3 ¤8 4 45 ¤120 Box 4 4 2 ¤3 4 80 ¤120 What is the combined height of all the boxes? 6) The table below shows the weight of several books. Book Weight (in ounces) Book 1 6 1 ¤3 6 8 ¤24 Book 2 1 5 ¤8 1 15 ¤24 Book 3 9 1 ¤8 9 3 ¤24 Book 4 2 4 ¤6 2 16 ¤24 What is the combined weight of all the books? 1. 23 21 ¤60 2. 29 20 ¤30 3. 29 1 ¤12 4. 18 39 ¤40 5. 12 59 ¤120 6. 19 18 ¤24 Combining Amounts (with Fractions) Use the tables to answer each question. 2
  18. 18. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-6 83 67 50 33 17 0 1) The table below shows the length of several roads. Road Distance (in miles) Road 1 8 3 ¤5 8 36 ¤60 Road 2 7 1 ¤2 7 30 ¤60 Road 3 3 3 ¤6 3 30 ¤60 Road 4 3 3 ¤4 3 45 ¤60 What is the combined length of all the roads? 2) The table below shows the weight of several vehicles. Car Weight (in tons) Car 1 9 2 ¤6 9 10 ¤30 Car 2 7 3 ¤5 7 18 ¤30 Car 3 9 1 ¤3 9 10 ¤30 Car 4 3 2 ¤5 3 12 ¤30 What is the combined weight of all the cars? 3) The table below shows the weight of several bags. Bag Weight (in kilograms) Bag 1 5 2 ¤4 5 6 ¤12 Bag 2 6 1 ¤2 6 6 ¤12 Bag 3 7 1 ¤3 7 4 ¤12 Bag 4 9 3 ¤4 9 9 ¤12 What is the combined weight of all the bags? 4) The table below shows how many milliliters of ink were in pens. Pen Capacity (in milliliters) Pen 1 4 1 ¤8 4 5 ¤40 Pen 2 1 2 ¤4 1 20 ¤40 Pen 3 5 3 ¤5 5 24 ¤40 Pen 4 7 3 ¤4 7 30 ¤40 What is the combined capacity of all the pens? 5) The table below shows the height of several boxes. Box Height (in inches) Box 1 2 1 ¤5 2 24 ¤120 Box 2 1 1 ¤4 1 30 ¤120 Box 3 4 3 ¤8 4 45 ¤120 Box 4 4 2 ¤3 4 80 ¤120 What is the combined height of all the boxes? 6) The table below shows the weight of several books. Book Weight (in ounces) Book 1 6 1 ¤3 6 8 ¤24 Book 2 1 5 ¤8 1 15 ¤24 Book 3 9 1 ¤8 9 3 ¤24 Book 4 2 4 ¤6 2 16 ¤24 What is the combined weight of all the books? 1. 23 21 ¤60 2. 29 20 ¤30 3. 29 1 ¤12 4. 18 39 ¤40 5. 12 59 ¤120 6. 19 18 ¤24 Combining Amounts (with Fractions) Use the tables to answer each question. 2
  19. 19. Math www.CommonCoreSheets.com Name: Answers 1-6 83 67 50 33 17 0 1) The table below shows the weight of several bags. Bag Weight (in kilograms) Bag 1 9 3 ¤8 9 9 ¤24 Bag 2 4 5 ¤6 4 20 ¤24 Bag 3 9 1 ¤2 9 12 ¤24 Bag 4 4 1 ¤3 4 8 ¤24 What is the combined weight of all the bags? 2) The table below shows the capacity of several water coolers. Cooler Capacity (in gallons) Cooler 1 9 1 ¤5 9 8 ¤40 Cooler 2 3 6 ¤8 3 30 ¤40 Cooler 3 1 1 ¤2 1 20 ¤40 Cooler 4 9 1 ¤2 9 20 ¤40 What is the combined capacity of all the coolers? 3) The table below shows the length of several roads. Road Distance (in miles) Road 1 3 4 ¤6 3 8 ¤12 Road 2 2 1 ¤4 2 3 ¤12 Road 3 7 2 ¤4 7 6 ¤12 Road 4 7 1 ¤4 7 3 ¤12 What is the combined length of all the roads? 4) The table below shows the weight of several dogs. Dog Weight (in pounds) Dog 1 8 2 ¤8 8 6 ¤24 Dog 2 7 4 ¤6 7 16 ¤24 Dog 3 6 6 ¤8 6 18 ¤24 Dog 4 2 3 ¤4 2 18 ¤24 What is the combined weight of all the dogs? 5) The table below shows the height of several boxes. Box Height (in inches) Box 1 9 2 ¤3 9 16 ¤24 Box 2 7 1 ¤2 7 12 ¤24 Box 3 9 1 ¤2 9 12 ¤24 Box 4 1 3 ¤8 1 9 ¤24 What is the combined height of all the boxes? 6) The table below shows the weight of several books. Book Weight (in ounces) Book 1 7 1 ¤4 7 30 ¤120 Book 2 8 3 ¤6 8 60 ¤120 Book 3 2 2 ¤8 2 30 ¤120 Book 4 6 3 ¤5 6 72 ¤120 What is the combined weight of all the books? 1. 28 1 ¤24 2. 23 38 ¤40 3. 20 8 ¤12 4. 25 10 ¤24 5. 28 1 ¤24 6. 24 72 ¤120 Combining Amounts (with Fractions) Use the tables to answer each question. 6
  20. 20. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-6 83 67 50 33 17 0 1) The table below shows the weight of several bags. Bag Weight (in kilograms) Bag 1 9 3 ¤8 9 9 ¤24 Bag 2 4 5 ¤6 4 20 ¤24 Bag 3 9 1 ¤2 9 12 ¤24 Bag 4 4 1 ¤3 4 8 ¤24 What is the combined weight of all the bags? 2) The table below shows the capacity of several water coolers. Cooler Capacity (in gallons) Cooler 1 9 1 ¤5 9 8 ¤40 Cooler 2 3 6 ¤8 3 30 ¤40 Cooler 3 1 1 ¤2 1 20 ¤40 Cooler 4 9 1 ¤2 9 20 ¤40 What is the combined capacity of all the coolers? 3) The table below shows the length of several roads. Road Distance (in miles) Road 1 3 4 ¤6 3 8 ¤12 Road 2 2 1 ¤4 2 3 ¤12 Road 3 7 2 ¤4 7 6 ¤12 Road 4 7 1 ¤4 7 3 ¤12 What is the combined length of all the roads? 4) The table below shows the weight of several dogs. Dog Weight (in pounds) Dog 1 8 2 ¤8 8 6 ¤24 Dog 2 7 4 ¤6 7 16 ¤24 Dog 3 6 6 ¤8 6 18 ¤24 Dog 4 2 3 ¤4 2 18 ¤24 What is the combined weight of all the dogs? 5) The table below shows the height of several boxes. Box Height (in inches) Box 1 9 2 ¤3 9 16 ¤24 Box 2 7 1 ¤2 7 12 ¤24 Box 3 9 1 ¤2 9 12 ¤24 Box 4 1 3 ¤8 1 9 ¤24 What is the combined height of all the boxes? 6) The table below shows the weight of several books. Book Weight (in ounces) Book 1 7 1 ¤4 7 30 ¤120 Book 2 8 3 ¤6 8 60 ¤120 Book 3 2 2 ¤8 2 30 ¤120 Book 4 6 3 ¤5 6 72 ¤120 What is the combined weight of all the books? 1. 28 1 ¤24 2. 23 38 ¤40 3. 20 8 ¤12 4. 25 10 ¤24 5. 28 1 ¤24 6. 24 72 ¤120 Combining Amounts (with Fractions) Use the tables to answer each question. 6

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