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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 934 · 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. 1.7/49 =
  2. 2.2/29 =
  3. 3.4/29 =
  4. 4.6/49 =
  5. 5.7/19 =
  6. 6.4/59 =
  7. 7.8/39 =
  8. 8.7/59 =
  9. 9.1/29 =
  10. 10.5/59 =
  11. 11.5/39 =
  12. 12.7/19 =
  13. 13.1/59 =
  14. 14.4/49 =
  15. 15.5/39 =
  16. 16.6/59 =
  17. 17.7/39 =
  18. 18.8/19 =
  19. 19.3/49 =
  20. 20.3/19 =
  21. 21.3/39 =
  22. 22.1/19 =
  23. 23.8/29 =
  24. 24.5/19 =
  25. 25.3/19 =
  26. 26.4/39 =
  27. 27.2/19 =
  28. 28.6/39 =
  29. 29.6/39 =
  30. 30.9/49 =
  31. 31.2/39 =
  32. 32.7/29 =
  33. 33.7/49 =
  34. 34.3/19 =
  35. 35.5/29 =
  36. 36.2/39 =
  37. 37.2/19 =
  38. 38.2/19 =
  39. 39.1/19 =
  40. 40.5/49 =

Answer key

  1. 0.142857
  2. 0.068965
  3. 0.137931
  4. 0.122448
  5. 0.368421
  6. 0.067796
  7. 0.205128
  8. 0.118644
  9. 0.034482
  10. 0.084745
  11. 0.128205
  12. 0.368421
  13. 0.016949
  14. 0.081632
  15. 0.128205
  16. 0.101694
  17. 0.179487
  18. 0.421052
  19. 0.061224
  20. 0.157894
  21. 0.076923
  22. 0.052631
  23. 0.275862
  24. 0.263157
  25. 0.157894
  26. 0.102564
  27. 0.105263
  28. 0.153846
  29. 0.153846
  30. 0.183673
  31. 0.051282
  32. 0.241379
  33. 0.142857
  34. 0.157894
  35. 0.172413
  36. 0.051282
  37. 0.105263
  38. 0.105263
  39. 0.052631
  40. 0.102040

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