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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 217 · 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. 1.7/59 =
  2. 2.3/39 =
  3. 3.6/39 =
  4. 4.1/29 =
  5. 5.8/39 =
  6. 6.3/39 =
  7. 7.2/49 =
  8. 8.9/19 =
  9. 9.3/59 =
  10. 10.8/39 =
  11. 11.5/19 =
  12. 12.7/19 =
  13. 13.3/59 =
  14. 14.8/59 =
  15. 15.4/59 =
  16. 16.7/39 =
  17. 17.8/29 =
  18. 18.4/59 =
  19. 19.6/49 =
  20. 20.8/59 =
  21. 21.7/59 =
  22. 22.6/19 =
  23. 23.4/19 =
  24. 24.8/29 =
  25. 25.7/29 =
  26. 26.4/19 =
  27. 27.2/29 =
  28. 28.6/59 =
  29. 29.6/59 =
  30. 30.7/39 =
  31. 31.2/29 =
  32. 32.1/39 =
  33. 33.4/49 =
  34. 34.4/39 =
  35. 35.3/49 =
  36. 36.3/19 =
  37. 37.8/59 =
  38. 38.2/29 =
  39. 39.9/49 =
  40. 40.5/29 =

Answer key

  1. 0.118644
  2. 0.076923
  3. 0.153846
  4. 0.034482
  5. 0.205128
  6. 0.076923
  7. 0.040816
  8. 0.473684
  9. 0.050847
  10. 0.205128
  11. 0.263157
  12. 0.368421
  13. 0.050847
  14. 0.135593
  15. 0.067796
  16. 0.179487
  17. 0.275862
  18. 0.067796
  19. 0.122448
  20. 0.135593
  21. 0.118644
  22. 0.315789
  23. 0.210526
  24. 0.275862
  25. 0.241379
  26. 0.210526
  27. 0.068965
  28. 0.101694
  29. 0.101694
  30. 0.179487
  31. 0.068965
  32. 0.025641
  33. 0.081632
  34. 0.102564
  35. 0.061224
  36. 0.157894
  37. 0.135593
  38. 0.068965
  39. 0.183673
  40. 0.172413

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