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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 457 · 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. 1.8/39 =
  2. 2.5/59 =
  3. 3.4/49 =
  4. 4.7/29 =
  5. 5.1/19 =
  6. 6.5/29 =
  7. 7.3/49 =
  8. 8.8/49 =
  9. 9.9/29 =
  10. 10.1/39 =
  11. 11.6/59 =
  12. 12.5/59 =
  13. 13.2/39 =
  14. 14.1/19 =
  15. 15.2/59 =
  16. 16.3/49 =
  17. 17.3/19 =
  18. 18.7/29 =
  19. 19.1/39 =
  20. 20.4/19 =
  21. 21.9/39 =
  22. 22.7/59 =
  23. 23.1/59 =
  24. 24.3/19 =
  25. 25.8/49 =
  26. 26.1/59 =
  27. 27.6/59 =
  28. 28.5/19 =
  29. 29.2/29 =
  30. 30.7/29 =
  31. 31.3/19 =
  32. 32.7/19 =
  33. 33.5/59 =
  34. 34.2/39 =
  35. 35.2/29 =
  36. 36.1/59 =
  37. 37.4/19 =
  38. 38.2/59 =
  39. 39.4/59 =
  40. 40.3/39 =

Answer key

  1. 0.205128
  2. 0.084745
  3. 0.081632
  4. 0.241379
  5. 0.052631
  6. 0.172413
  7. 0.061224
  8. 0.163265
  9. 0.310344
  10. 0.025641
  11. 0.101694
  12. 0.084745
  13. 0.051282
  14. 0.052631
  15. 0.033898
  16. 0.061224
  17. 0.157894
  18. 0.241379
  19. 0.025641
  20. 0.210526
  21. 0.230769
  22. 0.118644
  23. 0.016949
  24. 0.157894
  25. 0.163265
  26. 0.016949
  27. 0.101694
  28. 0.263157
  29. 0.068965
  30. 0.241379
  31. 0.157894
  32. 0.368421
  33. 0.084745
  34. 0.051282
  35. 0.068965
  36. 0.016949
  37. 0.210526
  38. 0.033898
  39. 0.067796
  40. 0.076923

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