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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 297 · 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. 2.4/59 =
  3. 3.8/59 =
  4. 4.2/29 =
  5. 5.3/19 =
  6. 6.6/19 =
  7. 7.7/49 =
  8. 8.7/39 =
  9. 9.3/59 =
  10. 10.3/49 =
  11. 11.1/19 =
  12. 12.6/19 =
  13. 13.1/39 =
  14. 14.7/39 =
  15. 15.4/59 =
  16. 16.4/59 =
  17. 17.1/49 =
  18. 18.1/29 =
  19. 19.3/29 =
  20. 20.1/59 =
  21. 21.5/39 =
  22. 22.5/59 =
  23. 23.4/59 =
  24. 24.6/19 =
  25. 25.2/49 =
  26. 26.1/49 =
  27. 27.7/19 =
  28. 28.6/49 =
  29. 29.8/29 =
  30. 30.2/19 =
  31. 31.2/29 =
  32. 32.5/19 =
  33. 33.1/19 =
  34. 34.5/29 =
  35. 35.8/39 =
  36. 36.1/49 =
  37. 37.4/29 =
  38. 38.7/59 =
  39. 39.2/39 =
  40. 40.2/59 =

Answer key

  1. 0.118644
  2. 0.067796
  3. 0.135593
  4. 0.068965
  5. 0.157894
  6. 0.315789
  7. 0.142857
  8. 0.179487
  9. 0.050847
  10. 0.061224
  11. 0.052631
  12. 0.315789
  13. 0.025641
  14. 0.179487
  15. 0.067796
  16. 0.067796
  17. 0.020408
  18. 0.034482
  19. 0.103448
  20. 0.016949
  21. 0.128205
  22. 0.084745
  23. 0.067796
  24. 0.315789
  25. 0.040816
  26. 0.020408
  27. 0.368421
  28. 0.122448
  29. 0.275862
  30. 0.105263
  31. 0.068965
  32. 0.263157
  33. 0.052631
  34. 0.172413
  35. 0.205128
  36. 0.020408
  37. 0.137931
  38. 0.118644
  39. 0.051282
  40. 0.033898

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