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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 111 · 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. 1.9/19 =
  2. 2.3/19 =
  3. 3.6/39 =
  4. 4.6/29 =
  5. 5.4/39 =
  6. 6.3/39 =
  7. 7.4/29 =
  8. 8.3/19 =
  9. 9.2/29 =
  10. 10.7/59 =
  11. 11.1/19 =
  12. 12.4/49 =
  13. 13.8/39 =
  14. 14.1/59 =
  15. 15.1/19 =
  16. 16.6/49 =
  17. 17.3/19 =
  18. 18.9/29 =
  19. 19.1/19 =
  20. 20.9/29 =
  21. 21.6/59 =
  22. 22.9/39 =
  23. 23.2/29 =
  24. 24.5/29 =
  25. 25.1/19 =
  26. 26.3/59 =
  27. 27.3/59 =
  28. 28.7/59 =
  29. 29.1/19 =
  30. 30.6/19 =
  31. 31.3/59 =
  32. 32.9/29 =
  33. 33.4/19 =
  34. 34.6/39 =
  35. 35.3/59 =
  36. 36.2/59 =
  37. 37.4/19 =
  38. 38.2/59 =
  39. 39.2/39 =
  40. 40.2/59 =

Answer key

  1. 0.473684
  2. 0.157894
  3. 0.153846
  4. 0.206896
  5. 0.102564
  6. 0.076923
  7. 0.137931
  8. 0.157894
  9. 0.068965
  10. 0.118644
  11. 0.052631
  12. 0.081632
  13. 0.205128
  14. 0.016949
  15. 0.052631
  16. 0.122448
  17. 0.157894
  18. 0.310344
  19. 0.052631
  20. 0.310344
  21. 0.101694
  22. 0.230769
  23. 0.068965
  24. 0.172413
  25. 0.052631
  26. 0.050847
  27. 0.050847
  28. 0.118644
  29. 0.052631
  30. 0.315789
  31. 0.050847
  32. 0.310344
  33. 0.210526
  34. 0.153846
  35. 0.050847
  36. 0.033898
  37. 0.210526
  38. 0.033898
  39. 0.051282
  40. 0.033898

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