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Fraction to Decimal Conversion Worksheet

Mental maths lesson 26: Fractions as decimals by heart · Set 19 · 40 questions
TalentJR

How to do it in your head (Know the families): Quarters, fifths, eighths: 1/4 = 0.25, 1/5 = 0.2, 1/8 = 0.125 — multiply by the top number. Ninths repeat the top number (4/9 = 0.444…); elevenths repeat 9 × the top (3/11 = 0.2727…). Sevenths use the digits 142857 in a circle: start at the first digit of 10 × top ÷ 7.

NameDateTime takenScore ___ / 40
  1. 1.1/8 as a decimal =
  2. 2.Which decimal is 5/7? (a) 0.142857… (b) 0.285714… (c) 0.714285… (d) 0.857142…
  3. 3.Which decimal is 3/11? (a) 0.3636… (b) 0.333… (c) 0.27 (d) 0.2727…
  4. 4.2/5 as a decimal =
  5. 5.1/5 as a decimal =
  6. 6.1/4 as a decimal =
  7. 7.7/8 as a decimal =
  8. 8.3/4 as a decimal =
  9. 9.3/5 as a decimal =
  10. 10.3/8 as a decimal =
  11. 11.Which decimal is 8/9? (a) 0.7272… (b) 0.777… (c) 0.888… (d) 0.8
  12. 12.Which decimal is 6/7? (a) 0.142857… (b) 0.857142… (c) 0.285714… (d) 0.428571…
  13. 13.Which decimal is 4/11? (a) 0.4545… (b) 0.36 (c) 0.3636… (d) 0.444…
  14. 14.Which decimal is 6/9? (a) 0.666… (b) 0.6 (c) 0.5454… (d) 0.777…
  15. 15.Which decimal is 1/7? (a) 0.142857… (b) 0.428571… (c) 0.571428… (d) 0.285714…
  16. 16.Which decimal is 3/9? (a) 0.2727… (b) 0.444… (c) 0.3 (d) 0.333…
  17. 17.Which decimal is 2/11? (a) 0.18 (b) 0.2727… (c) 0.1818… (d) 0.222…
  18. 18.Which decimal is 4/9? (a) 0.4 (b) 0.3636… (c) 0.444… (d) 0.555…
  19. 19.Which decimal is 1/9? (a) 0.1 (b) 0.0909… (c) 0.111… (d) 0.222…
  20. 20.Which decimal is 6/11? (a) 0.5454… (b) 0.6363… (c) 0.54 (d) 0.666…
  21. 21.Which decimal is 1/11? (a) 0.111… (b) 0.09 (c) 0.1818… (d) 0.0909…
  22. 22.Which decimal is 5/9? (a) 0.555… (b) 0.666… (c) 0.4545… (d) 0.5
  23. 23.Which decimal is 7/9? (a) 0.777… (b) 0.888… (c) 0.7 (d) 0.6363…
  24. 24.Which decimal is 7/11? (a) 0.6363… (b) 0.63 (c) 0.777… (d) 0.7272…
  25. 25.Which decimal is 2/7? (a) 0.714285… (b) 0.285714… (c) 0.428571… (d) 0.571428…
  26. 26.Which decimal is 8/11? (a) 0.888… (b) 0.7272… (c) 0.72 (d) 0.6363…
  27. 27.5/8 as a decimal =
  28. 28.Which decimal is 3/7? (a) 0.571428… (b) 0.714285… (c) 0.857142… (d) 0.428571…
  29. 29.4/5 as a decimal =
  30. 30.Which decimal is 5/11? (a) 0.555… (b) 0.5454… (c) 0.45 (d) 0.4545…
  31. 31.Which decimal is 5/7? (a) 0.857142… (b) 0.714285… (c) 0.285714… (d) 0.142857…
  32. 32.Which decimal is 4/7? (a) 0.857142… (b) 0.571428… (c) 0.714285… (d) 0.142857…
  33. 33.4/5 as a decimal =
  34. 34.Which decimal is 5/9? (a) 0.666… (b) 0.4545… (c) 0.555… (d) 0.5
  35. 35.Which decimal is 2/7? (a) 0.714285… (b) 0.285714… (c) 0.428571… (d) 0.571428…
  36. 36.Which decimal is 1/7? (a) 0.428571… (b) 0.571428… (c) 0.142857… (d) 0.285714…
  37. 37.2/5 as a decimal =
  38. 38.1/4 as a decimal =
  39. 39.3/4 as a decimal =
  40. 40.Which decimal is 6/9? (a) 0.777… (b) 0.5454… (c) 0.6 (d) 0.666…

Answer key

  1. 0.125
  2. 0.714285…
  3. 0.2727…
  4. 0.4
  5. 0.2
  6. 0.25
  7. 0.875
  8. 0.75
  9. 0.6
  10. 0.375
  11. 0.888…
  12. 0.857142…
  13. 0.3636…
  14. 0.666…
  15. 0.142857…
  16. 0.333…
  17. 0.1818…
  18. 0.444…
  19. 0.111…
  20. 0.5454…
  21. 0.0909…
  22. 0.555…
  23. 0.777…
  24. 0.6363…
  25. 0.285714…
  26. 0.7272…
  27. 0.625
  28. 0.428571…
  29. 0.8
  30. 0.4545…
  31. 0.714285…
  32. 0.571428…
  33. 0.8
  34. 0.555…
  35. 0.285714…
  36. 0.142857…
  37. 0.4
  38. 0.25
  39. 0.75
  40. 0.666…

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