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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 434 · 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. 1.8/19 =
  2. 2.7/39 =
  3. 3.4/59 =
  4. 4.7/49 =
  5. 5.2/29 =
  6. 6.4/49 =
  7. 7.5/19 =
  8. 8.1/39 =
  9. 9.5/59 =
  10. 10.7/39 =
  11. 11.5/19 =
  12. 12.5/59 =
  13. 13.5/49 =
  14. 14.4/49 =
  15. 15.7/49 =
  16. 16.1/19 =
  17. 17.3/29 =
  18. 18.4/39 =
  19. 19.5/19 =
  20. 20.6/59 =
  21. 21.7/59 =
  22. 22.5/59 =
  23. 23.4/39 =
  24. 24.1/29 =
  25. 25.2/39 =
  26. 26.8/19 =
  27. 27.8/19 =
  28. 28.2/39 =
  29. 29.2/49 =
  30. 30.7/19 =
  31. 31.4/39 =
  32. 32.4/59 =
  33. 33.2/19 =
  34. 34.7/19 =
  35. 35.8/29 =
  36. 36.2/29 =
  37. 37.7/19 =
  38. 38.2/49 =
  39. 39.1/19 =
  40. 40.9/19 =

Answer key

  1. 0.421052
  2. 0.179487
  3. 0.067796
  4. 0.142857
  5. 0.068965
  6. 0.081632
  7. 0.263157
  8. 0.025641
  9. 0.084745
  10. 0.179487
  11. 0.263157
  12. 0.084745
  13. 0.102040
  14. 0.081632
  15. 0.142857
  16. 0.052631
  17. 0.103448
  18. 0.102564
  19. 0.263157
  20. 0.101694
  21. 0.118644
  22. 0.084745
  23. 0.102564
  24. 0.034482
  25. 0.051282
  26. 0.421052
  27. 0.421052
  28. 0.051282
  29. 0.040816
  30. 0.368421
  31. 0.102564
  32. 0.067796
  33. 0.105263
  34. 0.368421
  35. 0.275862
  36. 0.068965
  37. 0.368421
  38. 0.040816
  39. 0.052631
  40. 0.473684

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