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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 721 · 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. 1.3/59 =
  2. 2.4/49 =
  3. 3.9/19 =
  4. 4.9/49 =
  5. 5.6/39 =
  6. 6.7/49 =
  7. 7.2/59 =
  8. 8.8/29 =
  9. 9.2/49 =
  10. 10.5/29 =
  11. 11.9/49 =
  12. 12.2/19 =
  13. 13.8/29 =
  14. 14.3/59 =
  15. 15.2/39 =
  16. 16.2/49 =
  17. 17.7/39 =
  18. 18.8/19 =
  19. 19.1/29 =
  20. 20.7/19 =
  21. 21.4/19 =
  22. 22.5/59 =
  23. 23.4/59 =
  24. 24.6/39 =
  25. 25.6/49 =
  26. 26.5/49 =
  27. 27.1/19 =
  28. 28.2/39 =
  29. 29.9/39 =
  30. 30.6/29 =
  31. 31.5/59 =
  32. 32.4/39 =
  33. 33.4/49 =
  34. 34.8/29 =
  35. 35.9/49 =
  36. 36.3/19 =
  37. 37.7/19 =
  38. 38.8/59 =
  39. 39.1/29 =
  40. 40.1/29 =

Answer key

  1. 0.050847
  2. 0.081632
  3. 0.473684
  4. 0.183673
  5. 0.153846
  6. 0.142857
  7. 0.033898
  8. 0.275862
  9. 0.040816
  10. 0.172413
  11. 0.183673
  12. 0.105263
  13. 0.275862
  14. 0.050847
  15. 0.051282
  16. 0.040816
  17. 0.179487
  18. 0.421052
  19. 0.034482
  20. 0.368421
  21. 0.210526
  22. 0.084745
  23. 0.067796
  24. 0.153846
  25. 0.122448
  26. 0.102040
  27. 0.052631
  28. 0.051282
  29. 0.230769
  30. 0.206896
  31. 0.084745
  32. 0.102564
  33. 0.081632
  34. 0.275862
  35. 0.183673
  36. 0.157894
  37. 0.368421
  38. 0.135593
  39. 0.034482
  40. 0.034482

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