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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 423 · 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. 1.4/49 =
  2. 2.2/59 =
  3. 3.3/49 =
  4. 4.3/19 =
  5. 5.1/49 =
  6. 6.6/19 =
  7. 7.3/19 =
  8. 8.3/49 =
  9. 9.7/59 =
  10. 10.6/39 =
  11. 11.1/19 =
  12. 12.5/29 =
  13. 13.6/49 =
  14. 14.9/39 =
  15. 15.1/19 =
  16. 16.8/19 =
  17. 17.1/49 =
  18. 18.1/29 =
  19. 19.9/39 =
  20. 20.8/59 =
  21. 21.7/49 =
  22. 22.8/49 =
  23. 23.7/19 =
  24. 24.8/59 =
  25. 25.7/59 =
  26. 26.9/19 =
  27. 27.8/19 =
  28. 28.1/29 =
  29. 29.3/29 =
  30. 30.2/59 =
  31. 31.4/59 =
  32. 32.2/49 =
  33. 33.1/59 =
  34. 34.8/19 =
  35. 35.4/59 =
  36. 36.2/19 =
  37. 37.4/39 =
  38. 38.6/49 =
  39. 39.7/49 =
  40. 40.1/19 =

Answer key

  1. 0.081632
  2. 0.033898
  3. 0.061224
  4. 0.157894
  5. 0.020408
  6. 0.315789
  7. 0.157894
  8. 0.061224
  9. 0.118644
  10. 0.153846
  11. 0.052631
  12. 0.172413
  13. 0.122448
  14. 0.230769
  15. 0.052631
  16. 0.421052
  17. 0.020408
  18. 0.034482
  19. 0.230769
  20. 0.135593
  21. 0.142857
  22. 0.163265
  23. 0.368421
  24. 0.135593
  25. 0.118644
  26. 0.473684
  27. 0.421052
  28. 0.034482
  29. 0.103448
  30. 0.033898
  31. 0.067796
  32. 0.040816
  33. 0.016949
  34. 0.421052
  35. 0.067796
  36. 0.105263
  37. 0.102564
  38. 0.122448
  39. 0.142857
  40. 0.052631

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