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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 270 · 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. 2.2/29 =
  3. 3.6/59 =
  4. 4.5/49 =
  5. 5.3/19 =
  6. 6.2/29 =
  7. 7.6/29 =
  8. 8.3/49 =
  9. 9.3/29 =
  10. 10.4/49 =
  11. 11.1/59 =
  12. 12.1/19 =
  13. 13.9/29 =
  14. 14.7/59 =
  15. 15.1/39 =
  16. 16.9/49 =
  17. 17.8/19 =
  18. 18.1/19 =
  19. 19.1/39 =
  20. 20.7/29 =
  21. 21.8/29 =
  22. 22.8/19 =
  23. 23.3/39 =
  24. 24.3/49 =
  25. 25.3/49 =
  26. 26.8/19 =
  27. 27.5/29 =
  28. 28.6/59 =
  29. 29.3/59 =
  30. 30.6/29 =
  31. 31.1/29 =
  32. 32.7/19 =
  33. 33.1/29 =
  34. 34.1/19 =
  35. 35.4/19 =
  36. 36.9/39 =
  37. 37.2/19 =
  38. 38.9/49 =
  39. 39.3/29 =
  40. 40.2/59 =

Answer key

  1. 0.102564
  2. 0.068965
  3. 0.101694
  4. 0.102040
  5. 0.157894
  6. 0.068965
  7. 0.206896
  8. 0.061224
  9. 0.103448
  10. 0.081632
  11. 0.016949
  12. 0.052631
  13. 0.310344
  14. 0.118644
  15. 0.025641
  16. 0.183673
  17. 0.421052
  18. 0.052631
  19. 0.025641
  20. 0.241379
  21. 0.275862
  22. 0.421052
  23. 0.076923
  24. 0.061224
  25. 0.061224
  26. 0.421052
  27. 0.172413
  28. 0.101694
  29. 0.050847
  30. 0.206896
  31. 0.034482
  32. 0.368421
  33. 0.034482
  34. 0.052631
  35. 0.210526
  36. 0.230769
  37. 0.105263
  38. 0.183673
  39. 0.103448
  40. 0.033898

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