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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 817 · 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. 1.2/59 =
  2. 2.8/39 =
  3. 3.3/59 =
  4. 4.6/59 =
  5. 5.8/59 =
  6. 6.4/39 =
  7. 7.8/59 =
  8. 8.4/19 =
  9. 9.2/59 =
  10. 10.5/19 =
  11. 11.2/19 =
  12. 12.1/39 =
  13. 13.6/49 =
  14. 14.9/19 =
  15. 15.7/59 =
  16. 16.5/29 =
  17. 17.4/39 =
  18. 18.2/59 =
  19. 19.1/19 =
  20. 20.9/49 =
  21. 21.7/59 =
  22. 22.3/49 =
  23. 23.3/19 =
  24. 24.6/19 =
  25. 25.4/49 =
  26. 26.8/29 =
  27. 27.1/49 =
  28. 28.2/49 =
  29. 29.8/29 =
  30. 30.2/29 =
  31. 31.4/59 =
  32. 32.4/19 =
  33. 33.7/29 =
  34. 34.3/29 =
  35. 35.1/59 =
  36. 36.7/29 =
  37. 37.9/19 =
  38. 38.3/29 =
  39. 39.1/29 =
  40. 40.7/19 =

Answer key

  1. 0.033898
  2. 0.205128
  3. 0.050847
  4. 0.101694
  5. 0.135593
  6. 0.102564
  7. 0.135593
  8. 0.210526
  9. 0.033898
  10. 0.263157
  11. 0.105263
  12. 0.025641
  13. 0.122448
  14. 0.473684
  15. 0.118644
  16. 0.172413
  17. 0.102564
  18. 0.033898
  19. 0.052631
  20. 0.183673
  21. 0.118644
  22. 0.061224
  23. 0.157894
  24. 0.315789
  25. 0.081632
  26. 0.275862
  27. 0.020408
  28. 0.040816
  29. 0.275862
  30. 0.068965
  31. 0.067796
  32. 0.210526
  33. 0.241379
  34. 0.103448
  35. 0.016949
  36. 0.241379
  37. 0.473684
  38. 0.103448
  39. 0.034482
  40. 0.368421

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