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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 295 · 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. 2.8/19 =
  3. 3.5/49 =
  4. 4.9/49 =
  5. 5.4/29 =
  6. 6.2/19 =
  7. 7.1/19 =
  8. 8.7/49 =
  9. 9.7/59 =
  10. 10.7/59 =
  11. 11.9/39 =
  12. 12.6/49 =
  13. 13.6/49 =
  14. 14.8/39 =
  15. 15.8/29 =
  16. 16.7/29 =
  17. 17.5/59 =
  18. 18.9/59 =
  19. 19.8/39 =
  20. 20.6/49 =
  21. 21.4/49 =
  22. 22.1/39 =
  23. 23.2/59 =
  24. 24.5/49 =
  25. 25.6/49 =
  26. 26.9/59 =
  27. 27.6/19 =
  28. 28.7/19 =
  29. 29.4/59 =
  30. 30.5/19 =
  31. 31.3/39 =
  32. 32.9/29 =
  33. 33.9/29 =
  34. 34.2/29 =
  35. 35.8/59 =
  36. 36.1/19 =
  37. 37.4/59 =
  38. 38.8/19 =
  39. 39.5/29 =
  40. 40.9/19 =

Answer key

  1. 0.067796
  2. 0.421052
  3. 0.102040
  4. 0.183673
  5. 0.137931
  6. 0.105263
  7. 0.052631
  8. 0.142857
  9. 0.118644
  10. 0.118644
  11. 0.230769
  12. 0.122448
  13. 0.122448
  14. 0.205128
  15. 0.275862
  16. 0.241379
  17. 0.084745
  18. 0.152542
  19. 0.205128
  20. 0.122448
  21. 0.081632
  22. 0.025641
  23. 0.033898
  24. 0.102040
  25. 0.122448
  26. 0.152542
  27. 0.315789
  28. 0.368421
  29. 0.067796
  30. 0.263157
  31. 0.076923
  32. 0.310344
  33. 0.310344
  34. 0.068965
  35. 0.135593
  36. 0.052631
  37. 0.067796
  38. 0.421052
  39. 0.172413
  40. 0.473684

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