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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 186 · 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. 1.4/39 =
  2. 2.6/49 =
  3. 3.1/29 =
  4. 4.7/19 =
  5. 5.4/59 =
  6. 6.2/49 =
  7. 7.6/49 =
  8. 8.3/59 =
  9. 9.3/39 =
  10. 10.6/49 =
  11. 11.1/19 =
  12. 12.1/39 =
  13. 13.9/59 =
  14. 14.2/49 =
  15. 15.4/29 =
  16. 16.7/59 =
  17. 17.2/29 =
  18. 18.8/59 =
  19. 19.7/49 =
  20. 20.4/59 =
  21. 21.7/39 =
  22. 22.5/59 =
  23. 23.2/39 =
  24. 24.6/19 =
  25. 25.1/39 =
  26. 26.9/59 =
  27. 27.1/39 =
  28. 28.6/59 =
  29. 29.3/19 =
  30. 30.2/59 =
  31. 31.8/49 =
  32. 32.6/59 =
  33. 33.2/39 =
  34. 34.7/19 =
  35. 35.1/29 =
  36. 36.4/49 =
  37. 37.7/49 =
  38. 38.6/29 =
  39. 39.9/49 =
  40. 40.1/19 =

Answer key

  1. 0.102564
  2. 0.122448
  3. 0.034482
  4. 0.368421
  5. 0.067796
  6. 0.040816
  7. 0.122448
  8. 0.050847
  9. 0.076923
  10. 0.122448
  11. 0.052631
  12. 0.025641
  13. 0.152542
  14. 0.040816
  15. 0.137931
  16. 0.118644
  17. 0.068965
  18. 0.135593
  19. 0.142857
  20. 0.067796
  21. 0.179487
  22. 0.084745
  23. 0.051282
  24. 0.315789
  25. 0.025641
  26. 0.152542
  27. 0.025641
  28. 0.101694
  29. 0.157894
  30. 0.033898
  31. 0.163265
  32. 0.101694
  33. 0.051282
  34. 0.368421
  35. 0.034482
  36. 0.081632
  37. 0.142857
  38. 0.206896
  39. 0.183673
  40. 0.052631

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