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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 532 · 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. 1.9/49 =
  2. 2.7/59 =
  3. 3.4/39 =
  4. 4.9/29 =
  5. 5.9/19 =
  6. 6.7/19 =
  7. 7.4/59 =
  8. 8.8/39 =
  9. 9.2/29 =
  10. 10.9/49 =
  11. 11.7/19 =
  12. 12.2/39 =
  13. 13.7/29 =
  14. 14.8/49 =
  15. 15.3/49 =
  16. 16.2/19 =
  17. 17.2/39 =
  18. 18.1/19 =
  19. 19.1/19 =
  20. 20.6/49 =
  21. 21.9/49 =
  22. 22.1/39 =
  23. 23.1/29 =
  24. 24.7/19 =
  25. 25.8/59 =
  26. 26.8/19 =
  27. 27.7/39 =
  28. 28.3/49 =
  29. 29.9/19 =
  30. 30.7/29 =
  31. 31.5/29 =
  32. 32.2/29 =
  33. 33.2/19 =
  34. 34.2/29 =
  35. 35.6/19 =
  36. 36.6/49 =
  37. 37.2/29 =
  38. 38.3/49 =
  39. 39.4/39 =
  40. 40.4/19 =

Answer key

  1. 0.183673
  2. 0.118644
  3. 0.102564
  4. 0.310344
  5. 0.473684
  6. 0.368421
  7. 0.067796
  8. 0.205128
  9. 0.068965
  10. 0.183673
  11. 0.368421
  12. 0.051282
  13. 0.241379
  14. 0.163265
  15. 0.061224
  16. 0.105263
  17. 0.051282
  18. 0.052631
  19. 0.052631
  20. 0.122448
  21. 0.183673
  22. 0.025641
  23. 0.034482
  24. 0.368421
  25. 0.135593
  26. 0.421052
  27. 0.179487
  28. 0.061224
  29. 0.473684
  30. 0.241379
  31. 0.172413
  32. 0.068965
  33. 0.105263
  34. 0.068965
  35. 0.315789
  36. 0.122448
  37. 0.068965
  38. 0.061224
  39. 0.102564
  40. 0.210526

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