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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 339 · 40 sums
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The trick (Ekadhikena Purvena): Denominator ending in 9: find the Ekadhika — one more than the digits before the 9 (19 → 2, 29 → 3, 39 → 4, 59 → 6). Start: the top number ÷ Ekadhika gives the first decimal digit and a remainder. Every next digit: put the remainder in front of the last digit and divide by the Ekadhika again.

NameDateTime takenScore ___ / 40
  1. 1.6/29 =
  2. 2.1/29 =
  3. 3.4/39 =
  4. 4.5/49 =
  5. 5.1/19 =
  6. 6.7/59 =
  7. 7.7/59 =
  8. 8.6/19 =
  9. 9.3/49 =
  10. 10.3/49 =
  11. 11.5/39 =
  12. 12.8/19 =
  13. 13.4/59 =
  14. 14.1/39 =
  15. 15.6/29 =
  16. 16.6/49 =
  17. 17.9/19 =
  18. 18.8/49 =
  19. 19.9/19 =
  20. 20.8/49 =
  21. 21.7/49 =
  22. 22.3/59 =
  23. 23.9/49 =
  24. 24.6/29 =
  25. 25.2/39 =
  26. 26.9/19 =
  27. 27.9/49 =
  28. 28.2/59 =
  29. 29.6/49 =
  30. 30.2/59 =
  31. 31.7/59 =
  32. 32.3/39 =
  33. 33.1/39 =
  34. 34.4/19 =
  35. 35.5/19 =
  36. 36.7/59 =
  37. 37.1/19 =
  38. 38.1/19 =
  39. 39.1/19 =
  40. 40.9/39 =

Answer key

  1. 0.206896
  2. 0.034482
  3. 0.102564
  4. 0.102040
  5. 0.052631
  6. 0.118644
  7. 0.118644
  8. 0.315789
  9. 0.061224
  10. 0.061224
  11. 0.128205
  12. 0.421052
  13. 0.067796
  14. 0.025641
  15. 0.206896
  16. 0.122448
  17. 0.473684
  18. 0.163265
  19. 0.473684
  20. 0.163265
  21. 0.142857
  22. 0.050847
  23. 0.183673
  24. 0.206896
  25. 0.051282
  26. 0.473684
  27. 0.183673
  28. 0.033898
  29. 0.122448
  30. 0.033898
  31. 0.118644
  32. 0.076923
  33. 0.025641
  34. 0.210526
  35. 0.263157
  36. 0.118644
  37. 0.052631
  38. 0.052631
  39. 0.052631
  40. 0.230769

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