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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 792 · 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. 1.4/59 =
  2. 2.8/39 =
  3. 3.4/39 =
  4. 4.5/49 =
  5. 5.4/59 =
  6. 6.1/39 =
  7. 7.2/29 =
  8. 8.5/59 =
  9. 9.7/39 =
  10. 10.1/59 =
  11. 11.3/49 =
  12. 12.9/19 =
  13. 13.8/19 =
  14. 14.7/59 =
  15. 15.6/59 =
  16. 16.1/19 =
  17. 17.2/59 =
  18. 18.3/19 =
  19. 19.1/19 =
  20. 20.5/59 =
  21. 21.1/59 =
  22. 22.7/59 =
  23. 23.7/49 =
  24. 24.7/59 =
  25. 25.1/59 =
  26. 26.5/19 =
  27. 27.5/49 =
  28. 28.7/29 =
  29. 29.8/49 =
  30. 30.1/59 =
  31. 31.9/59 =
  32. 32.6/49 =
  33. 33.7/39 =
  34. 34.8/49 =
  35. 35.1/19 =
  36. 36.9/29 =
  37. 37.6/19 =
  38. 38.5/29 =
  39. 39.5/59 =
  40. 40.3/29 =

Answer key

  1. 0.067796
  2. 0.205128
  3. 0.102564
  4. 0.102040
  5. 0.067796
  6. 0.025641
  7. 0.068965
  8. 0.084745
  9. 0.179487
  10. 0.016949
  11. 0.061224
  12. 0.473684
  13. 0.421052
  14. 0.118644
  15. 0.101694
  16. 0.052631
  17. 0.033898
  18. 0.157894
  19. 0.052631
  20. 0.084745
  21. 0.016949
  22. 0.118644
  23. 0.142857
  24. 0.118644
  25. 0.016949
  26. 0.263157
  27. 0.102040
  28. 0.241379
  29. 0.163265
  30. 0.016949
  31. 0.152542
  32. 0.122448
  33. 0.179487
  34. 0.163265
  35. 0.052631
  36. 0.310344
  37. 0.315789
  38. 0.172413
  39. 0.084745
  40. 0.103448

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