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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 903 · 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. 1.8/39 =
  2. 2.6/39 =
  3. 3.6/29 =
  4. 4.8/19 =
  5. 5.2/29 =
  6. 6.8/39 =
  7. 7.7/29 =
  8. 8.1/39 =
  9. 9.4/29 =
  10. 10.3/59 =
  11. 11.2/29 =
  12. 12.7/49 =
  13. 13.6/59 =
  14. 14.9/59 =
  15. 15.7/19 =
  16. 16.3/59 =
  17. 17.9/49 =
  18. 18.4/29 =
  19. 19.4/39 =
  20. 20.6/39 =
  21. 21.9/49 =
  22. 22.8/59 =
  23. 23.1/59 =
  24. 24.7/59 =
  25. 25.1/19 =
  26. 26.5/19 =
  27. 27.2/49 =
  28. 28.4/59 =
  29. 29.8/29 =
  30. 30.6/29 =
  31. 31.1/29 =
  32. 32.7/39 =
  33. 33.6/59 =
  34. 34.9/59 =
  35. 35.7/19 =
  36. 36.4/49 =
  37. 37.2/59 =
  38. 38.3/19 =
  39. 39.9/59 =
  40. 40.2/39 =

Answer key

  1. 0.205128
  2. 0.153846
  3. 0.206896
  4. 0.421052
  5. 0.068965
  6. 0.205128
  7. 0.241379
  8. 0.025641
  9. 0.137931
  10. 0.050847
  11. 0.068965
  12. 0.142857
  13. 0.101694
  14. 0.152542
  15. 0.368421
  16. 0.050847
  17. 0.183673
  18. 0.137931
  19. 0.102564
  20. 0.153846
  21. 0.183673
  22. 0.135593
  23. 0.016949
  24. 0.118644
  25. 0.052631
  26. 0.263157
  27. 0.040816
  28. 0.067796
  29. 0.275862
  30. 0.206896
  31. 0.034482
  32. 0.179487
  33. 0.101694
  34. 0.152542
  35. 0.368421
  36. 0.081632
  37. 0.033898
  38. 0.157894
  39. 0.152542
  40. 0.051282

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