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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 682 · 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. 1.5/59 =
  2. 2.9/49 =
  3. 3.6/39 =
  4. 4.7/49 =
  5. 5.4/29 =
  6. 6.1/39 =
  7. 7.8/19 =
  8. 8.2/29 =
  9. 9.8/19 =
  10. 10.5/49 =
  11. 11.2/29 =
  12. 12.8/19 =
  13. 13.1/49 =
  14. 14.6/19 =
  15. 15.8/49 =
  16. 16.9/59 =
  17. 17.7/19 =
  18. 18.9/39 =
  19. 19.1/39 =
  20. 20.6/59 =
  21. 21.5/39 =
  22. 22.5/29 =
  23. 23.7/29 =
  24. 24.9/39 =
  25. 25.7/39 =
  26. 26.8/39 =
  27. 27.4/49 =
  28. 28.8/19 =
  29. 29.4/49 =
  30. 30.8/59 =
  31. 31.1/59 =
  32. 32.1/19 =
  33. 33.8/39 =
  34. 34.8/19 =
  35. 35.5/19 =
  36. 36.5/19 =
  37. 37.7/39 =
  38. 38.7/29 =
  39. 39.9/49 =
  40. 40.7/29 =

Answer key

  1. 0.084745
  2. 0.183673
  3. 0.153846
  4. 0.142857
  5. 0.137931
  6. 0.025641
  7. 0.421052
  8. 0.068965
  9. 0.421052
  10. 0.102040
  11. 0.068965
  12. 0.421052
  13. 0.020408
  14. 0.315789
  15. 0.163265
  16. 0.152542
  17. 0.368421
  18. 0.230769
  19. 0.025641
  20. 0.101694
  21. 0.128205
  22. 0.172413
  23. 0.241379
  24. 0.230769
  25. 0.179487
  26. 0.205128
  27. 0.081632
  28. 0.421052
  29. 0.081632
  30. 0.135593
  31. 0.016949
  32. 0.052631
  33. 0.205128
  34. 0.421052
  35. 0.263157
  36. 0.263157
  37. 0.179487
  38. 0.241379
  39. 0.183673
  40. 0.241379

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