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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 801 · 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. 1.2/59 =
  2. 2.7/19 =
  3. 3.5/19 =
  4. 4.5/39 =
  5. 5.3/29 =
  6. 6.8/19 =
  7. 7.1/59 =
  8. 8.7/29 =
  9. 9.2/19 =
  10. 10.4/19 =
  11. 11.7/59 =
  12. 12.4/39 =
  13. 13.9/49 =
  14. 14.9/49 =
  15. 15.3/39 =
  16. 16.1/49 =
  17. 17.1/39 =
  18. 18.2/19 =
  19. 19.1/29 =
  20. 20.3/39 =
  21. 21.4/29 =
  22. 22.1/29 =
  23. 23.4/49 =
  24. 24.3/49 =
  25. 25.7/39 =
  26. 26.7/19 =
  27. 27.7/39 =
  28. 28.8/39 =
  29. 29.1/59 =
  30. 30.5/19 =
  31. 31.8/19 =
  32. 32.3/59 =
  33. 33.3/19 =
  34. 34.9/39 =
  35. 35.3/49 =
  36. 36.2/39 =
  37. 37.1/19 =
  38. 38.1/19 =
  39. 39.6/49 =
  40. 40.8/59 =

Answer key

  1. 0.033898
  2. 0.368421
  3. 0.263157
  4. 0.128205
  5. 0.103448
  6. 0.421052
  7. 0.016949
  8. 0.241379
  9. 0.105263
  10. 0.210526
  11. 0.118644
  12. 0.102564
  13. 0.183673
  14. 0.183673
  15. 0.076923
  16. 0.020408
  17. 0.025641
  18. 0.105263
  19. 0.034482
  20. 0.076923
  21. 0.137931
  22. 0.034482
  23. 0.081632
  24. 0.061224
  25. 0.179487
  26. 0.368421
  27. 0.179487
  28. 0.205128
  29. 0.016949
  30. 0.263157
  31. 0.421052
  32. 0.050847
  33. 0.157894
  34. 0.230769
  35. 0.061224
  36. 0.051282
  37. 0.052631
  38. 0.052631
  39. 0.122448
  40. 0.135593

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