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Adding fractions with unlike denominators

Grades 5 and 6 (Years 6 and 7 in England) · 16 questions · Common Core: 5.NF.A.1, 5.NF.A.2, 4.NF.B.3.C · England: Y5 Fractions, Y6 Fractions

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Date

Score/ 16

  1. Question 1

    2/3 + 3/4 = ? Give your answer in simplest form.

    Answer(as a fraction)

  2. Question 2

    4 7/8 − 2 1/8 = ? (Simplest form; a mixed number is fine.)

    Answer(as a fraction)

  3. Question 3

    1 3/8 + 1 7/8 = ? (Give a fraction in simplest form, or a mixed number like 3 1/4.)

    Answer(as a fraction)

  4. Question 4

    Jamal ran 3/4 of a mile and then 5/6 of a mile. How far did Jamal run altogether? (Simplest form; an improper fraction is fine.)

    Answer(as a fraction)

  5. Question 5

    2/3 − 3/10 = ? Give your answer in simplest form.

    Answer(as a fraction)

  6. Question 6

    5/6 + 2/3 = ? Give your answer in simplest form.

    Answer(as a fraction)

  7. Question 7

    3 1/4 − 1 3/4 = ? (Simplest form; a mixed number is fine.)

    Answer(as a fraction)

  8. Question 8

    4 1/4 + 3 1/4 = ? (Give a fraction in simplest form, or a mixed number like 3 1/4.)

    Answer(as a fraction)

  9. Question 9

    Daniel painted 1/4 of a fence on Saturday and 1/6 on Sunday. What fraction of the fence is still unpainted? (Simplest form.)

    Answer(as a fraction)

  10. Question 10

    11/12 − 1/3 = ? Give your answer in simplest form.

    Answer(as a fraction)

  11. Question 11

    4/5 + 3/4 = ? Give your answer in simplest form.

    Answer(as a fraction)

  12. Question 12

    7 3/4 − 4 1/4 = ? (Simplest form; a mixed number is fine.)

    Answer(as a fraction)

  13. Question 13

    4 2/3 + 3 2/3 = ? (Give a fraction in simplest form, or a mixed number like 3 1/4.)

    Answer(as a fraction)

  14. Question 14

    Arjun painted 2/3 of a fence on Saturday and 1/12 on Sunday. What fraction of the fence is still unpainted? (Simplest form.)

    Answer(as a fraction)

  15. Question 15

    2/3 − 1/2 = ? Give your answer in simplest form.

    Answer(as a fraction)

  16. Question 16

    1/2 + 9/10 = ? Give your answer in simplest form.

    Answer(as a fraction)

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Answer key: Adding fractions with unlike denominators

  1. 1. 17/12

  2. 2. 11/4

  3. 3. 13/4

  4. 4. 19/12

  5. 5. 11/30

  6. 6. 3/2

  7. 7. 3/2

  8. 8. 15/2

  9. 9. 7/12

  10. 10. 7/12

  11. 11. 31/20

  12. 12. 7/2

  13. 13. 25/3

  14. 14. 1/4

  15. 15. 1/6

  16. 16. 7/5