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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 526 · 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. 1.3/19 =
  2. 2.5/19 =
  3. 3.1/39 =
  4. 4.4/59 =
  5. 5.7/39 =
  6. 6.4/49 =
  7. 7.4/19 =
  8. 8.4/19 =
  9. 9.6/39 =
  10. 10.4/29 =
  11. 11.7/19 =
  12. 12.6/19 =
  13. 13.3/29 =
  14. 14.8/59 =
  15. 15.1/49 =
  16. 16.6/29 =
  17. 17.8/39 =
  18. 18.9/49 =
  19. 19.5/39 =
  20. 20.2/29 =
  21. 21.4/29 =
  22. 22.8/19 =
  23. 23.8/59 =
  24. 24.6/19 =
  25. 25.1/19 =
  26. 26.5/59 =
  27. 27.1/49 =
  28. 28.7/59 =
  29. 29.5/59 =
  30. 30.3/19 =
  31. 31.6/19 =
  32. 32.3/19 =
  33. 33.1/49 =
  34. 34.4/19 =
  35. 35.9/39 =
  36. 36.6/49 =
  37. 37.8/19 =
  38. 38.9/49 =
  39. 39.3/19 =
  40. 40.5/19 =

Answer key

  1. 0.157894
  2. 0.263157
  3. 0.025641
  4. 0.067796
  5. 0.179487
  6. 0.081632
  7. 0.210526
  8. 0.210526
  9. 0.153846
  10. 0.137931
  11. 0.368421
  12. 0.315789
  13. 0.103448
  14. 0.135593
  15. 0.020408
  16. 0.206896
  17. 0.205128
  18. 0.183673
  19. 0.128205
  20. 0.068965
  21. 0.137931
  22. 0.421052
  23. 0.135593
  24. 0.315789
  25. 0.052631
  26. 0.084745
  27. 0.020408
  28. 0.118644
  29. 0.084745
  30. 0.157894
  31. 0.315789
  32. 0.157894
  33. 0.020408
  34. 0.210526
  35. 0.230769
  36. 0.122448
  37. 0.421052
  38. 0.183673
  39. 0.157894
  40. 0.263157

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