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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 531 · 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. 1.3/49 =
  2. 2.3/59 =
  3. 3.6/29 =
  4. 4.5/19 =
  5. 5.6/49 =
  6. 6.9/49 =
  7. 7.8/29 =
  8. 8.1/39 =
  9. 9.9/39 =
  10. 10.2/49 =
  11. 11.6/19 =
  12. 12.4/59 =
  13. 13.9/59 =
  14. 14.3/39 =
  15. 15.2/29 =
  16. 16.4/49 =
  17. 17.9/49 =
  18. 18.2/59 =
  19. 19.4/19 =
  20. 20.6/49 =
  21. 21.4/49 =
  22. 22.5/19 =
  23. 23.4/19 =
  24. 24.7/39 =
  25. 25.7/39 =
  26. 26.8/19 =
  27. 27.8/39 =
  28. 28.4/29 =
  29. 29.7/49 =
  30. 30.2/19 =
  31. 31.3/19 =
  32. 32.1/19 =
  33. 33.3/59 =
  34. 34.3/49 =
  35. 35.3/19 =
  36. 36.2/59 =
  37. 37.8/59 =
  38. 38.2/59 =
  39. 39.9/39 =
  40. 40.9/49 =

Answer key

  1. 0.061224
  2. 0.050847
  3. 0.206896
  4. 0.263157
  5. 0.122448
  6. 0.183673
  7. 0.275862
  8. 0.025641
  9. 0.230769
  10. 0.040816
  11. 0.315789
  12. 0.067796
  13. 0.152542
  14. 0.076923
  15. 0.068965
  16. 0.081632
  17. 0.183673
  18. 0.033898
  19. 0.210526
  20. 0.122448
  21. 0.081632
  22. 0.263157
  23. 0.210526
  24. 0.179487
  25. 0.179487
  26. 0.421052
  27. 0.205128
  28. 0.137931
  29. 0.142857
  30. 0.105263
  31. 0.157894
  32. 0.052631
  33. 0.050847
  34. 0.061224
  35. 0.157894
  36. 0.033898
  37. 0.135593
  38. 0.033898
  39. 0.230769
  40. 0.183673

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