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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 250 · 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. 1.5/39 =
  2. 2.3/59 =
  3. 3.7/59 =
  4. 4.9/59 =
  5. 5.2/29 =
  6. 6.1/19 =
  7. 7.1/59 =
  8. 8.7/29 =
  9. 9.7/29 =
  10. 10.4/59 =
  11. 11.1/59 =
  12. 12.2/39 =
  13. 13.5/59 =
  14. 14.8/39 =
  15. 15.5/59 =
  16. 16.1/59 =
  17. 17.8/19 =
  18. 18.9/19 =
  19. 19.7/29 =
  20. 20.5/59 =
  21. 21.1/39 =
  22. 22.5/19 =
  23. 23.2/29 =
  24. 24.4/39 =
  25. 25.3/39 =
  26. 26.7/59 =
  27. 27.2/19 =
  28. 28.2/39 =
  29. 29.9/39 =
  30. 30.9/49 =
  31. 31.1/19 =
  32. 32.9/29 =
  33. 33.4/49 =
  34. 34.3/59 =
  35. 35.7/29 =
  36. 36.6/49 =
  37. 37.7/59 =
  38. 38.5/49 =
  39. 39.5/39 =
  40. 40.2/39 =

Answer key

  1. 0.128205
  2. 0.050847
  3. 0.118644
  4. 0.152542
  5. 0.068965
  6. 0.052631
  7. 0.016949
  8. 0.241379
  9. 0.241379
  10. 0.067796
  11. 0.016949
  12. 0.051282
  13. 0.084745
  14. 0.205128
  15. 0.084745
  16. 0.016949
  17. 0.421052
  18. 0.473684
  19. 0.241379
  20. 0.084745
  21. 0.025641
  22. 0.263157
  23. 0.068965
  24. 0.102564
  25. 0.076923
  26. 0.118644
  27. 0.105263
  28. 0.051282
  29. 0.230769
  30. 0.183673
  31. 0.052631
  32. 0.310344
  33. 0.081632
  34. 0.050847
  35. 0.241379
  36. 0.122448
  37. 0.118644
  38. 0.102040
  39. 0.128205
  40. 0.051282

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