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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 499 · 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. 1.8/19 =
  2. 2.1/29 =
  3. 3.4/49 =
  4. 4.8/59 =
  5. 5.2/29 =
  6. 6.3/49 =
  7. 7.1/49 =
  8. 8.2/39 =
  9. 9.2/29 =
  10. 10.3/59 =
  11. 11.6/29 =
  12. 12.3/49 =
  13. 13.3/19 =
  14. 14.6/19 =
  15. 15.2/29 =
  16. 16.3/19 =
  17. 17.2/29 =
  18. 18.5/29 =
  19. 19.7/59 =
  20. 20.7/59 =
  21. 21.1/19 =
  22. 22.3/59 =
  23. 23.5/19 =
  24. 24.7/29 =
  25. 25.9/29 =
  26. 26.4/19 =
  27. 27.7/39 =
  28. 28.5/49 =
  29. 29.1/29 =
  30. 30.2/59 =
  31. 31.9/49 =
  32. 32.8/59 =
  33. 33.3/39 =
  34. 34.8/29 =
  35. 35.3/49 =
  36. 36.2/39 =
  37. 37.1/49 =
  38. 38.3/39 =
  39. 39.5/39 =
  40. 40.2/19 =

Answer key

  1. 0.421052
  2. 0.034482
  3. 0.081632
  4. 0.135593
  5. 0.068965
  6. 0.061224
  7. 0.020408
  8. 0.051282
  9. 0.068965
  10. 0.050847
  11. 0.206896
  12. 0.061224
  13. 0.157894
  14. 0.315789
  15. 0.068965
  16. 0.157894
  17. 0.068965
  18. 0.172413
  19. 0.118644
  20. 0.118644
  21. 0.052631
  22. 0.050847
  23. 0.263157
  24. 0.241379
  25. 0.310344
  26. 0.210526
  27. 0.179487
  28. 0.102040
  29. 0.034482
  30. 0.033898
  31. 0.183673
  32. 0.135593
  33. 0.076923
  34. 0.275862
  35. 0.061224
  36. 0.051282
  37. 0.020408
  38. 0.076923
  39. 0.128205
  40. 0.105263

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