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# Fractions workbook 2nd-4th (Preview)

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### Fractions workbook 2nd-4th (Preview)

1. 1. Math www.CommonCoreSheets.com Name: Answers 1-10 11-12 92 83 75 67 58 50 42 33 25 17 8 0 1) 2) 3) A. Two Quarters A. Two Quarters A. Two Quarters B. Four Quarters B. One Quarter B. One Quarter C. One Quarter C. Three Quarters C. Three Quarters 4) 5) 6) A. Two Halves A. Two Quarters A. Two Quarters B. Two Quarters B. One Quarter B. Four-Fourths C. One Quarter C. Three Quarters C. One Quarter 7) 8) 9) A. Two Quarters A. Two Quarters A. One Quarter B. One-Fourth B. Three-Fourths B. Three Quarters C. Three Quarters C. One Quarter C. One Half 10) 11) 12) A. One Quarter A. Three Quarters A. Four Quarters B. Three-Fourths B. Two Quarters B. One Quarter C. Two Quarters C. One Quarter C. Two Quarters 1. B 2. A 3. C 4. A 5. B 6. B 7. B 8. B 9. C 10. B 11. C 12. A Naming Fractions Determine which letter best describes the shaded portion. 1
2. 2. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 11-12 92 83 75 67 58 50 42 33 25 17 8 0 1) 2) 3) A. Two Quarters A. Two Quarters A. Two Quarters B. Four Quarters B. One Quarter B. One Quarter C. One Quarter C. Three Quarters C. Three Quarters 4) 5) 6) A. Two Halves A. Two Quarters A. Two Quarters B. Two Quarters B. One Quarter B. Four-Fourths C. One Quarter C. Three Quarters C. One Quarter 7) 8) 9) A. Two Quarters A. Two Quarters A. One Quarter B. One-Fourth B. Three-Fourths B. Three Quarters C. Three Quarters C. One Quarter C. One Half 10) 11) 12) A. One Quarter A. Three Quarters A. Four Quarters B. Three-Fourths B. Two Quarters B. One Quarter C. Two Quarters C. One Quarter C. Two Quarters 1. B 2. A 3. C 4. A 5. B 6. B 7. B 8. B 9. C 10. B 11. C 12. A Naming Fractions Determine which letter best describes the shaded portion. 1
3. 3. Math www.CommonCoreSheets.com Name: Answers 1-10 11-12 92 83 75 67 58 50 42 33 25 17 8 0 1) 2) 3) A. One Quarter A. One Quarter A. Two Quarters B. Three Quarters B. Two Quarters B. One Quarter C. One-Third C. Two-Thirds C. Two Halves 4) 5) 6) A. Three Quarters A. Three Quarters A. Two Quarters B. One Quarter B. One Quarter B. One Quarter C. Two-Fourths C. Two Quarters C. Three Quarters 7) 8) 9) A. One Quarter A. Three Quarters A. One Quarter B. Two Quarters B. One-Fourth B. Two Quarters C. Three-Thirds C. Two Quarters C. Four-Fourths 10) 11) 12) A. Three Quarters A. Two Quarters A. Two Quarters B. Two Quarters B. One Quarter B. Three Quarters C. One Quarter C. Three-Fourths C. One Quarter 1. C 2. C 3. C 4. C 5. C 6. B 7. C 8. B 9. C 10. B 11. C 12. C Naming Fractions Determine which letter best describes the shaded portion. 2
4. 4. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 11-12 92 83 75 67 58 50 42 33 25 17 8 0 1) 2) 3) A. One Quarter A. One Quarter A. Two Quarters B. Three Quarters B. Two Quarters B. One Quarter C. One-Third C. Two-Thirds C. Two Halves 4) 5) 6) A. Three Quarters A. Three Quarters A. Two Quarters B. One Quarter B. One Quarter B. One Quarter C. Two-Fourths C. Two Quarters C. Three Quarters 7) 8) 9) A. One Quarter A. Three Quarters A. One Quarter B. Two Quarters B. One-Fourth B. Two Quarters C. Three-Thirds C. Two Quarters C. Four-Fourths 10) 11) 12) A. Three Quarters A. Two Quarters A. Two Quarters B. Two Quarters B. One Quarter B. Three Quarters C. One Quarter C. Three-Fourths C. One Quarter 1. C 2. C 3. C 4. C 5. C 6. B 7. C 8. B 9. C 10. B 11. C 12. C Naming Fractions Determine which letter best describes the shaded portion. 2
5. 5. Math www.CommonCoreSheets.com Name: Answers 1-10 94 89 83 78 72 67 61 56 50 44 11-18 39 33 28 22 17 11 6 0 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 1. 3 ¤8 2. 1 ¤6 3. 5 ¤8 4. 2 ¤6 5. 5 ¤6 6. 3 ¤6 7. 2 ¤3 8. 1 ¤2 9. 2 ¤4 10. 1 ¤4 11. 1 ¤8 12. 3 ¤4 13. 1 ¤3 14. 4 ¤8 15. 2 ¤8 16. 7 ¤8 17. 6 ¤8 18. 4 ¤6 Writing Fractions Write the shaded amount as a fraction of the whole amount. 4
6. 6. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 94 89 83 78 72 67 61 56 50 44 11-18 39 33 28 22 17 11 6 0 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 1. 3 ¤8 2. 1 ¤6 3. 5 ¤8 4. 2 ¤6 5. 5 ¤6 6. 3 ¤6 7. 2 ¤3 8. 1 ¤2 9. 2 ¤4 10. 1 ¤4 11. 1 ¤8 12. 3 ¤4 13. 1 ¤3 14. 4 ¤8 15. 2 ¤8 16. 7 ¤8 17. 6 ¤8 18. 4 ¤6 Writing Fractions Write the shaded amount as a fraction of the whole amount. 4
7. 7. Math www.CommonCoreSheets.com Name: Answers 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) Which choice best shows 1 ¤3 ? A. B. C. D. 2) Which choice best shows 1 ¤4 ? A. B. C. D. 3) Which choice best shows 4 ¤6 ? A. B. C. D. 4) Which choice best shows 6 ¤8 ? A. B. C. D. 5) Which choice best shows 2 ¤3 ? A. B. C. D. 6) Which choice best shows 2 ¤4 ? A. B. C. D. 7) Which choice best shows 5 ¤6 ? A. B. C. D. 8) Which choice best shows 7 ¤8 ? A. B. C. D. 9) Which choice best shows 3 ¤4 ? A. B. C. D. 10) Which choice best shows 2 ¤6 ? A. B. C. D. 11) Which choice best shows 2 ¤8 ? A. B. C. D. 12) Which choice best shows 3 ¤6 ? A. B. C. D. 1. A 2. D 3. A 4. C 5. B 6. D 7. D 8. C 9. B 10. B 11. C 12. D Identifying Fractions Determine which letter best represents each fraction. 5
8. 8. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 1) Which choice best shows 1 ¤3 ? A. B. C. D. 2) Which choice best shows 1 ¤4 ? A. B. C. D. 3) Which choice best shows 4 ¤6 ? A. B. C. D. 4) Which choice best shows 6 ¤8 ? A. B. C. D. 5) Which choice best shows 2 ¤3 ? A. B. C. D. 6) Which choice best shows 2 ¤4 ? A. B. C. D. 7) Which choice best shows 5 ¤6 ? A. B. C. D. 8) Which choice best shows 7 ¤8 ? A. B. C. D. 9) Which choice best shows 3 ¤4 ? A. B. C. D. 10) Which choice best shows 2 ¤6 ? A. B. C. D. 11) Which choice best shows 2 ¤8 ? A. B. C. D. 12) Which choice best shows 3 ¤6 ? A. B. C. D. 1. A 2. D 3. A 4. C 5. B 6. D 7. D 8. C 9. B 10. B 11. C 12. D Identifying Fractions Determine which letter best represents each fraction. 5
9. 9. Math Name: www.CommonCoreSheets.com 1-9 89 78 67 56 44 33 22 11 0 Ex) Split the shape into 2 equal parts and label each part. 1) Split the shape into 8 equal parts and label each part. 1/2 1/2 1/8 1/81/8 1/8 1/8 1/8 1/8 1/8 2) Split the shape into 6 equal parts and label each part. 3) Split the shape into 4 equal parts and label each part. 1/6 1/6 1/6 1/6 1/6 1/6 1/41/4 1/4 1/4 4) Split the shape into 3 equal parts and label each part. 5) Split the shape into 8 equal parts and label each part. 1/3 1/3 1/3 1/81 81/881/881/881/881/881/881/88 6) Split the shape into 2 equal parts and label each part. 7) Split the shape into 6 equal parts and label each part. 1/2 1/2 1/6 1/6 1/6 1/6 1/6 1/6 8) Split the shape into 4 equal parts and label each part. 9) Split the shape into 3 equal parts and label each part. 1/4 1/4 1/4 1/4 1/3 1/3 1/3 Partitioning Shapes Partition and label each shape. 5
10. 10. Math Name: www.CommonCoreSheets.com Answer Key 1-9 89 78 67 56 44 33 22 11 0 Ex) Split the shape into 2 equal parts and label each part. 1) Split the shape into 8 equal parts and label each part. 1/2 1/2 1/8 1/81/8 1/8 1/8 1/8 1/8 1/8 2) Split the shape into 6 equal parts and label each part. 3) Split the shape into 4 equal parts and label each part. 1/6 1/6 1/6 1/6 1/6 1/6 1/41/4 1/4 1/4 4) Split the shape into 3 equal parts and label each part. 5) Split the shape into 8 equal parts and label each part. 1/3 1/3 1/3 1/81/81/81/81/81/81/81/8 6) Split the shape into 2 equal parts and label each part. 7) Split the shape into 6 equal parts and label each part. 1/2 1/2 1/6 1/6 1/6 1/6 1/6 1/6 8) Split the shape into 4 equal parts and label each part. 9) Split the shape into 3 equal parts and label each part. 1/4 1/4 1/4 1/4 1/3 1/3 1/3 Partitioning Shapes Partition and label each shape. 5
11. 11. Math www.CommonCoreSheets.com Name: Answers 1-8 88 75 63 50 38 25 13 0 1) a. b. c. d. 2) a. b. c. d. 3) a. b. c. d. 4) a. b. c. d. 5) a. b. c. d. 6) a. b. c. d. 7) a. b. c. d. 8) a. b. c. d. 1. B,C,D 2. A,C,D 3. none 4. A,B,C 5. none 6. A 7. B 8. A,B,C,D Identifying Partitioned Shapes Determine which choice(s) show the shape partitioned so each piece has equal area. If none, write 'none'. 8
12. 12. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-8 88 75 63 50 38 25 13 0 1) a. b. c. d. 2) a. b. c. d. 3) a. b. c. d. 4) a. b. c. d. 5) a. b. c. d. 6) a. b. c. d. 7) a. b. c. d. 8) a. b. c. d. 1. B,C,D 2. A,C,D 3. none 4. A,B,C 5. none 6. A 7. B 8. A,B,C,D Identifying Partitioned Shapes Determine which choice(s) show the shape partitioned so each piece has equal area. If none, write 'none'. 8
13. 13. Math www.CommonCoreSheets.com Name: Answers 1-10 93 87 80 73 67 60 53 47 40 33 11-15 27 20 13 7 0 1) Which is heavier? A shopping cart that is 4 ¤7 full of sodas or a shopping cart that is 3 ¤7 full of sodas? 2) Which has the greater capacity? 9 ¤16 of a cup or 7 ¤16 of a gallon? 3) Which is longer? 4 ¤5 of an hour or 1 ¤5 of a day? 4) Carol drank 1 ¤7 of a can of diet soda. Luke drank 5 ¤7 of a can of regular soda. Which amount is more? 5) Which has more water? A pond that is 3 ¤5 full or a pond that is 2 ¤5 full? 6) Which has fewer people? A football stadium that is 1 ¤3 full or a classroom that is 2 ¤3 full? 7) A jogger is running 4 ¤5 full speed. A car is driving 1 ¤5 full speed. Which is quicker? 8) Which will be louder? When a stereo is 3 ¤8 full volume or when it is 1 ¤8 full volume? 9) Which is lighter? 4 ¤5 of a gram or 3 ¤5 of a gram? 10) A home driveway is 2 ¤3 full. A Wal-Mart parking lot is 1 ¤3 full. Which has less cars? 11) Which is less full? A dump truck that is 6 ¤9 full or one that is 8 ¤9 full? 12) Vanessa spent 1 ¤4 of a month working on her science fair project while Cody spent 3 ¤4 of a day. Which amount is less time? 13) Which is the shorter? A glass of water that is 3 ¤4 of a foot tall or a glass of lemonade that is 1 ¤4 of a foot tall? 14) A bag of lemons made 6 ¤8 of a gallon of lemon juice. A bag of oranges made 5 ¤8 of a gallon of orange juice. Which amount is less? 15) Which is the bigger amount? 2 ¤4 of ten dollars or 1 ¤4 of a hundred dollars? 1. 4 ¤7 2. 7 ¤16 3. 1 ¤5 4. 5 ¤7 5. 3 ¤5 6. 2 ¤3 7. 1 ¤5 8. 3 ¤8 9. 3 ¤5 10. 2 ¤3 11. 6 ¤9 12. 3 ¤4 13. 1 ¤4 14. 5 ¤8 15. 1 ¤4 Comparing Fraction Relative Size Solve each problem. Answer with the fraction. 7
14. 14. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 93 87 80 73 67 60 53 47 40 33 11-15 27 20 13 7 0 1) Which is heavier? A shopping cart that is 4 ¤7 full of sodas or a shopping cart that is 3 ¤7 full of sodas? 2) Which has the greater capacity? 9 ¤16 of a cup or 7 ¤16 of a gallon? 3) Which is longer? 4 ¤5 of an hour or 1 ¤5 of a day? 4) Carol drank 1 ¤7 of a can of diet soda. Luke drank 5 ¤7 of a can of regular soda. Which amount is more? 5) Which has more water? A pond that is 3 ¤5 full or a pond that is 2 ¤5 full? 6) Which has fewer people? A football stadium that is 1 ¤3 full or a classroom that is 2 ¤3 full? 7) A jogger is running 4 ¤5 full speed. A car is driving 1 ¤5 full speed. Which is quicker? 8) Which will be louder? When a stereo is 3 ¤8 full volume or when it is 1 ¤8 full volume? 9) Which is lighter? 4 ¤5 of a gram or 3 ¤5 of a gram? 10) A home driveway is 2 ¤3 full. A Wal-Mart parking lot is 1 ¤3 full. Which has less cars? 11) Which is less full? A dump truck that is 6 ¤9 full or one that is 8 ¤9 full? 12) Vanessa spent 1 ¤4 of a month working on her science fair project while Cody spent 3 ¤4 of a day. Which amount is less time? 13) Which is the shorter? A glass of water that is 3 ¤4 of a foot tall or a glass of lemonade that is 1 ¤4 of a foot tall? 14) A bag of lemons made 6 ¤8 of a gallon of lemon juice. A bag of oranges made 5 ¤8 of a gallon of orange juice. Which amount is less? 15) Which is the bigger amount? 2 ¤4 of ten dollars or 1 ¤4 of a hundred dollars? 1. 4 ¤7 2. 7 ¤16 3. 1 ¤5 4. 5 ¤7 5. 3 ¤5 6. 2 ¤3 7. 1 ¤5 8. 3 ¤8 9. 3 ¤5 10. 2 ¤3 11. 6 ¤9 12. 3 ¤4 13. 1 ¤4 14. 5 ¤8 15. 1 ¤4 Comparing Fraction Relative Size Solve each problem. Answer with the fraction. 7
15. 15. Math www.CommonCoreSheets.com Name: Answers 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 0 1 A 1 6 2 6 3 6 4 6 5 6 Ex) This numberline is divided into how many pieces? Ex) What is the location of A (written as a fraction)? 0 1 B C 1 10 1 10 1 10 1 10 Ex) On this numberline what is the value of 0 written as a fraction? Ex) On this numberline from B to C is how far (written as a fraction)? 0 1 A 1) This numberline is divided into how many pieces? 2) What is the location of A (written as a fraction)? 0 1 B C 3) On this numberline what is the value of 1 written as a fraction? 4) On this numberline from B to C is how far (written as a fraction)? 0 1 A 5) This numberline is divided into how many pieces? 6) What is the location of A (written as a fraction)? 0 1 B C 7) On this numberline what is the value of 0 written as a fraction? 8) On this numberline from B to C is how far (written as a fraction)? 0 1 A 9) This numberline is divided into how many pieces? 10) What is the location of A (written as a fraction)? 0 1 B C 11) On this numberline what is the value of 0 written as a fraction? 12) On this numberline from B to C is how far (written as a fraction)? Ex. 6 Ex. 1 ¤6 Ex. 0 ¤10 Ex. 4 ¤10 1. 3 2. 2 ¤3 3. 6 ¤6 4. 2 ¤6 5. 8 6. 2 ¤8 7. 0 ¤4 8. 1 ¤4 9. 3 10. 1 ¤3 11. 0 ¤6 12. 2 ¤6 Fraction Location on Numberline Determine which letter best shows the location of the fraction. 7
16. 16. Math www.CommonCoreSheets.com Name: Answers Answer Key 1-10 92 83 75 67 58 50 42 33 25 17 11-12 8 0 0 1 A 1 6 2 6 3 6 4 6 5 6 Ex) This numberline is divided into how many pieces? Ex) What is the location of A (written as a fraction)? 0 1 B C 1 10 1 10 1 10 1 10 Ex) On this numberline what is the value of 0 written as a fraction? Ex) On this numberline from B to C is how far (written as a fraction)? 0 1 A 1 3 2 3 1) This numberline is divided into how many pieces? 2) What is the location of A (written as a fraction)? 0 1 B C 1 6 1 6 3) On this numberline what is the value of 1 written as a fraction? 4) On this numberline from B to C is how far (written as a fraction)? 0 1 A 1 8 2 8 3 8 4 8 5 8 6 8 7 8 5) This numberline is divided into how many pieces? 6) What is the location of A (written as a fraction)? 0 1 B C 1 4 7) On this numberline what is the value of 0 written as a fraction? 8) On this numberline from B to C is how far (written as a fraction)? 0 1 A 1 3 2 3 9) This numberline is divided into how many pieces? 10) What is the location of A (written as a fraction)? 0 1 B C 1 6 1 6 11) On this numberline what is the value of 0 written as a fraction? 12) On this numberline from B to C is how far (written as a fraction)? Ex. 6 Ex. 1 ¤6 Ex. 0 ¤10 Ex. 4 ¤10 1. 3 2. 2 ¤3 3. 6 ¤6 4. 2 ¤6 5. 8 6. 2 ¤8 7. 0 ¤4 8. 1 ¤4 9. 3 10. 1 ¤3 11. 0 ¤6 12. 2 ¤6 Fraction Location on Numberline Determine which letter best shows the location of the fraction. 7
17. 17. 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) 2 1 ⁄6 + 2 2 ⁄6 = 2) 1 2 ⁄10 + 3 9 ⁄10 = 3) 3 5 ⁄6 + 2 5 ⁄6 = 4) 2 3 ⁄6 + 1 2 ⁄6 = 5) 1 1 ⁄8 + 3 7 ⁄8 = 6) 2 4 ⁄6 + 1 5 ⁄6 = 7) 1 2 ⁄3 + 1 1 ⁄3 = 8) 3 1 ⁄10 + 3 2 ⁄10 = 9) 3 7 ⁄12 + 1 4 ⁄12 = 10) 2 3 ⁄6 + 3 2 ⁄6 = 11) 1 4 ⁄6 + 2 5 ⁄6 = 12) 2 10 ⁄12 + 3 11 ⁄12 = 1. 4 3 ⁄6 2. 5 1 ⁄10 3. 6 4 ⁄6 4. 3 5 ⁄6 5. 5 6. 4 3 ⁄6 7. 3 8. 6 3 ⁄10 9. 4 11 ⁄12 10. 5 5 ⁄6 11. 4 3 ⁄6 12. 6 9 ⁄12 Adding Mixed Fractions (visual) Use the visual model to solve each problem. 5
18. 18. 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) 2 1 ⁄6 + 2 2 ⁄6 = 2) 1 2 ⁄10 + 3 9 ⁄10 = 3) 3 5 ⁄6 + 2 5 ⁄6 = 4) 2 3 ⁄6 + 1 2 ⁄6 = 5) 1 1 ⁄8 + 3 7 ⁄8 = 6) 2 4 ⁄6 + 1 5 ⁄6 = 7) 1 2 ⁄3 + 1 1 ⁄3 = 8) 3 1 ⁄10 + 3 2 ⁄10 = 9) 3 7 ⁄12 + 1 4 ⁄12 = 10) 2 3 ⁄6 + 3 2 ⁄6 = 11) 1 4 ⁄6 + 2 5 ⁄6 = 12) 2 10 ⁄12 + 3 11 ⁄12 = 1. 4 3 ⁄6 2. 5 1 ⁄10 3. 6 4 ⁄6 4. 3 5 ⁄6 5. 5 6. 4 3 ⁄6 7. 3 8. 6 3 ⁄10 9. 4 11 ⁄12 10. 5 5 ⁄6 11. 4 3 ⁄6 12. 6 9 ⁄12 Adding Mixed Fractions (visual) Use the visual model to solve each problem. 5