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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 851 · 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. 1.3/39 =
  2. 2.7/39 =
  3. 3.9/49 =
  4. 4.9/19 =
  5. 5.6/19 =
  6. 6.1/29 =
  7. 7.5/29 =
  8. 8.4/59 =
  9. 9.5/19 =
  10. 10.4/59 =
  11. 11.1/39 =
  12. 12.8/59 =
  13. 13.5/39 =
  14. 14.8/29 =
  15. 15.4/49 =
  16. 16.1/59 =
  17. 17.1/49 =
  18. 18.3/19 =
  19. 19.5/19 =
  20. 20.4/19 =
  21. 21.7/39 =
  22. 22.5/59 =
  23. 23.7/59 =
  24. 24.1/19 =
  25. 25.3/39 =
  26. 26.2/49 =
  27. 27.5/39 =
  28. 28.2/39 =
  29. 29.4/39 =
  30. 30.9/49 =
  31. 31.6/49 =
  32. 32.2/29 =
  33. 33.1/49 =
  34. 34.1/59 =
  35. 35.7/19 =
  36. 36.2/29 =
  37. 37.8/29 =
  38. 38.9/19 =
  39. 39.6/19 =
  40. 40.3/19 =

Answer key

  1. 0.076923
  2. 0.179487
  3. 0.183673
  4. 0.473684
  5. 0.315789
  6. 0.034482
  7. 0.172413
  8. 0.067796
  9. 0.263157
  10. 0.067796
  11. 0.025641
  12. 0.135593
  13. 0.128205
  14. 0.275862
  15. 0.081632
  16. 0.016949
  17. 0.020408
  18. 0.157894
  19. 0.263157
  20. 0.210526
  21. 0.179487
  22. 0.084745
  23. 0.118644
  24. 0.052631
  25. 0.076923
  26. 0.040816
  27. 0.128205
  28. 0.051282
  29. 0.102564
  30. 0.183673
  31. 0.122448
  32. 0.068965
  33. 0.020408
  34. 0.016949
  35. 0.368421
  36. 0.068965
  37. 0.275862
  38. 0.473684
  39. 0.315789
  40. 0.157894

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