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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 875 · 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. 1.3/29 =
  2. 2.5/39 =
  3. 3.7/59 =
  4. 4.8/49 =
  5. 5.4/19 =
  6. 6.9/49 =
  7. 7.1/19 =
  8. 8.8/39 =
  9. 9.7/49 =
  10. 10.5/59 =
  11. 11.1/59 =
  12. 12.5/59 =
  13. 13.1/19 =
  14. 14.1/49 =
  15. 15.2/29 =
  16. 16.3/19 =
  17. 17.2/59 =
  18. 18.3/39 =
  19. 19.4/49 =
  20. 20.5/29 =
  21. 21.1/29 =
  22. 22.3/29 =
  23. 23.1/39 =
  24. 24.6/49 =
  25. 25.7/19 =
  26. 26.5/29 =
  27. 27.1/19 =
  28. 28.9/19 =
  29. 29.5/39 =
  30. 30.2/19 =
  31. 31.3/19 =
  32. 32.5/19 =
  33. 33.8/19 =
  34. 34.2/29 =
  35. 35.1/59 =
  36. 36.4/39 =
  37. 37.2/29 =
  38. 38.4/59 =
  39. 39.6/49 =
  40. 40.4/39 =

Answer key

  1. 0.103448
  2. 0.128205
  3. 0.118644
  4. 0.163265
  5. 0.210526
  6. 0.183673
  7. 0.052631
  8. 0.205128
  9. 0.142857
  10. 0.084745
  11. 0.016949
  12. 0.084745
  13. 0.052631
  14. 0.020408
  15. 0.068965
  16. 0.157894
  17. 0.033898
  18. 0.076923
  19. 0.081632
  20. 0.172413
  21. 0.034482
  22. 0.103448
  23. 0.025641
  24. 0.122448
  25. 0.368421
  26. 0.172413
  27. 0.052631
  28. 0.473684
  29. 0.128205
  30. 0.105263
  31. 0.157894
  32. 0.263157
  33. 0.421052
  34. 0.068965
  35. 0.016949
  36. 0.102564
  37. 0.068965
  38. 0.067796
  39. 0.122448
  40. 0.102564

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