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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 0.565656… (“56” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  2. Question 2

    Write 0.222… (2 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  3. Question 3

    Write 0.3888… (only the 8 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  4. Question 4

    Write 0.424242… (“42” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  5. Question 5

    Write 0.666… (6 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  6. Question 6

    Write 0.8222… (only the 2 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  7. Question 7

    Write 0.848484… (“84” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  8. Question 8

    Write 0.111… (1 repeating) as a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    Write 0.4888… (only the 8 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  10. Question 10

    Write 0.808080… (“80” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  11. Question 11

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

    Answer(as a fraction)

  12. Question 12

    Write 0.7555… (only the 5 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  13. Question 13

    Write 0.676767… (“67” repeating) as a fraction in simplest form.

    Answer(as a fraction)

  14. Question 14

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

    Answer(as a fraction)

  15. Question 15

    Write 0.8555… (only the 5 repeats) as a fraction in simplest form.

    Answer(as a fraction)

  16. Question 16

    Write 0.515151… (“51” repeating) as a fraction in simplest form.

    Answer(as a fraction)

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  1. 56/99
  2. 2/9
  3. 7/18
  4. 14/33
  5. 2/3
  6. 37/45
  7. 28/33
  8. 1/9
  9. 22/45
  10. 80/99
  11. 4/9
  12. 34/45
  13. 67/99
  14. 8/9
  15. 77/90
  16. 17/33