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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 668 · 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. 1.3/29 =
  2. 2.4/49 =
  3. 3.6/39 =
  4. 4.3/19 =
  5. 5.5/39 =
  6. 6.1/59 =
  7. 7.1/59 =
  8. 8.9/49 =
  9. 9.2/19 =
  10. 10.2/19 =
  11. 11.3/29 =
  12. 12.8/59 =
  13. 13.7/59 =
  14. 14.7/49 =
  15. 15.7/49 =
  16. 16.6/59 =
  17. 17.5/19 =
  18. 18.2/39 =
  19. 19.9/49 =
  20. 20.5/59 =
  21. 21.3/29 =
  22. 22.4/59 =
  23. 23.2/49 =
  24. 24.3/59 =
  25. 25.7/19 =
  26. 26.4/29 =
  27. 27.8/29 =
  28. 28.5/29 =
  29. 29.4/39 =
  30. 30.6/49 =
  31. 31.5/29 =
  32. 32.9/19 =
  33. 33.8/29 =
  34. 34.6/39 =
  35. 35.1/19 =
  36. 36.9/49 =
  37. 37.2/59 =
  38. 38.2/39 =
  39. 39.2/29 =
  40. 40.2/59 =

Answer key

  1. 0.103448
  2. 0.081632
  3. 0.153846
  4. 0.157894
  5. 0.128205
  6. 0.016949
  7. 0.016949
  8. 0.183673
  9. 0.105263
  10. 0.105263
  11. 0.103448
  12. 0.135593
  13. 0.118644
  14. 0.142857
  15. 0.142857
  16. 0.101694
  17. 0.263157
  18. 0.051282
  19. 0.183673
  20. 0.084745
  21. 0.103448
  22. 0.067796
  23. 0.040816
  24. 0.050847
  25. 0.368421
  26. 0.137931
  27. 0.275862
  28. 0.172413
  29. 0.102564
  30. 0.122448
  31. 0.172413
  32. 0.473684
  33. 0.275862
  34. 0.153846
  35. 0.052631
  36. 0.183673
  37. 0.033898
  38. 0.051282
  39. 0.068965
  40. 0.033898

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