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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 829 · 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. 1.7/19 =
  2. 2.6/59 =
  3. 3.6/39 =
  4. 4.2/29 =
  5. 5.6/59 =
  6. 6.1/29 =
  7. 7.2/19 =
  8. 8.3/29 =
  9. 9.6/29 =
  10. 10.7/29 =
  11. 11.3/29 =
  12. 12.6/49 =
  13. 13.1/39 =
  14. 14.5/59 =
  15. 15.1/39 =
  16. 16.7/29 =
  17. 17.3/59 =
  18. 18.1/19 =
  19. 19.1/59 =
  20. 20.5/49 =
  21. 21.7/29 =
  22. 22.1/39 =
  23. 23.2/29 =
  24. 24.4/29 =
  25. 25.2/59 =
  26. 26.7/29 =
  27. 27.8/49 =
  28. 28.3/29 =
  29. 29.3/59 =
  30. 30.1/59 =
  31. 31.3/59 =
  32. 32.3/19 =
  33. 33.7/59 =
  34. 34.2/59 =
  35. 35.6/29 =
  36. 36.3/19 =
  37. 37.1/19 =
  38. 38.7/59 =
  39. 39.3/19 =
  40. 40.6/29 =

Answer key

  1. 0.368421
  2. 0.101694
  3. 0.153846
  4. 0.068965
  5. 0.101694
  6. 0.034482
  7. 0.105263
  8. 0.103448
  9. 0.206896
  10. 0.241379
  11. 0.103448
  12. 0.122448
  13. 0.025641
  14. 0.084745
  15. 0.025641
  16. 0.241379
  17. 0.050847
  18. 0.052631
  19. 0.016949
  20. 0.102040
  21. 0.241379
  22. 0.025641
  23. 0.068965
  24. 0.137931
  25. 0.033898
  26. 0.241379
  27. 0.163265
  28. 0.103448
  29. 0.050847
  30. 0.016949
  31. 0.050847
  32. 0.157894
  33. 0.118644
  34. 0.033898
  35. 0.206896
  36. 0.157894
  37. 0.052631
  38. 0.118644
  39. 0.157894
  40. 0.206896

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