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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 294 · 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. 1.1/39 =
  2. 2.7/19 =
  3. 3.1/29 =
  4. 4.4/19 =
  5. 5.5/29 =
  6. 6.9/59 =
  7. 7.2/29 =
  8. 8.9/19 =
  9. 9.6/19 =
  10. 10.4/59 =
  11. 11.9/49 =
  12. 12.8/59 =
  13. 13.8/49 =
  14. 14.6/49 =
  15. 15.1/49 =
  16. 16.6/29 =
  17. 17.3/59 =
  18. 18.7/29 =
  19. 19.6/49 =
  20. 20.6/29 =
  21. 21.2/29 =
  22. 22.8/19 =
  23. 23.8/29 =
  24. 24.7/49 =
  25. 25.7/59 =
  26. 26.1/59 =
  27. 27.5/59 =
  28. 28.8/19 =
  29. 29.8/19 =
  30. 30.3/59 =
  31. 31.5/49 =
  32. 32.7/39 =
  33. 33.2/29 =
  34. 34.1/29 =
  35. 35.5/39 =
  36. 36.5/29 =
  37. 37.4/29 =
  38. 38.1/49 =
  39. 39.7/19 =
  40. 40.2/39 =

Answer key

  1. 0.025641
  2. 0.368421
  3. 0.034482
  4. 0.210526
  5. 0.172413
  6. 0.152542
  7. 0.068965
  8. 0.473684
  9. 0.315789
  10. 0.067796
  11. 0.183673
  12. 0.135593
  13. 0.163265
  14. 0.122448
  15. 0.020408
  16. 0.206896
  17. 0.050847
  18. 0.241379
  19. 0.122448
  20. 0.206896
  21. 0.068965
  22. 0.421052
  23. 0.275862
  24. 0.142857
  25. 0.118644
  26. 0.016949
  27. 0.084745
  28. 0.421052
  29. 0.421052
  30. 0.050847
  31. 0.102040
  32. 0.179487
  33. 0.068965
  34. 0.034482
  35. 0.128205
  36. 0.172413
  37. 0.137931
  38. 0.020408
  39. 0.368421
  40. 0.051282

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