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Convert repeating decimals into fractions

8th grade (Year 9 in England) · 16 questions · Common Core: 8.NS.A.1 · England: KS3 Number, GCSE Higher Number

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Date

Score/ 16

  1. Question 1

    Write 0.444… (4 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  2. Question 2

    Write 0.4222… (only the 2 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  3. Question 3

    Write 0.747474… (“74” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  4. Question 4

    Write 0.555… (5 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  5. Question 5

    Write 0.5111… (only the 1 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  6. Question 6

    Write 0.010101… (“01” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  7. Question 7

    Write 0.333… (3 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  8. Question 8

    Write 0.5666… (only the 6 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    Write 0.454545… (“45” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  10. Question 10

    Write 0.888… (8 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  11. Question 11

    Write 0.7111… (only the 1 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  12. Question 12

    Write 0.484848… (“48” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  13. Question 13

    Write 0.444… (4 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  14. Question 14

    Write 0.7888… (only the 8 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    Write 0.636363… (“63” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  16. Question 16

    Write 0.333… (3 repeating) as a fraction in simplest form.

    Answer(as a fraction)

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Answer key: Convert repeating decimals into fractions

  1. 1. 4/9

  2. 2. 19/45

  3. 3. 74/99

  4. 4. 5/9

  5. 5. 23/45

  6. 6. 1/99

  7. 7. 1/3

  8. 8. 17/30

  9. 9. 5/11

  10. 10. 8/9

  11. 11. 32/45

  12. 12. 16/33

  13. 13. 4/9

  14. 14. 71/90

  15. 15. 7/11

  16. 16. 1/3