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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 900 · 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. 1.3/29 =
  2. 2.1/49 =
  3. 3.7/59 =
  4. 4.4/19 =
  5. 5.2/59 =
  6. 6.3/29 =
  7. 7.5/59 =
  8. 8.2/49 =
  9. 9.9/29 =
  10. 10.9/49 =
  11. 11.7/49 =
  12. 12.8/49 =
  13. 13.5/19 =
  14. 14.4/49 =
  15. 15.8/59 =
  16. 16.1/29 =
  17. 17.9/49 =
  18. 18.8/19 =
  19. 19.5/29 =
  20. 20.9/59 =
  21. 21.6/39 =
  22. 22.2/19 =
  23. 23.7/19 =
  24. 24.8/19 =
  25. 25.3/39 =
  26. 26.6/39 =
  27. 27.2/39 =
  28. 28.7/59 =
  29. 29.1/49 =
  30. 30.2/59 =
  31. 31.5/19 =
  32. 32.4/39 =
  33. 33.2/39 =
  34. 34.1/29 =
  35. 35.9/39 =
  36. 36.2/39 =
  37. 37.2/59 =
  38. 38.7/19 =
  39. 39.1/29 =
  40. 40.3/59 =

Answer key

  1. 0.103448
  2. 0.020408
  3. 0.118644
  4. 0.210526
  5. 0.033898
  6. 0.103448
  7. 0.084745
  8. 0.040816
  9. 0.310344
  10. 0.183673
  11. 0.142857
  12. 0.163265
  13. 0.263157
  14. 0.081632
  15. 0.135593
  16. 0.034482
  17. 0.183673
  18. 0.421052
  19. 0.172413
  20. 0.152542
  21. 0.153846
  22. 0.105263
  23. 0.368421
  24. 0.421052
  25. 0.076923
  26. 0.153846
  27. 0.051282
  28. 0.118644
  29. 0.020408
  30. 0.033898
  31. 0.263157
  32. 0.102564
  33. 0.051282
  34. 0.034482
  35. 0.230769
  36. 0.051282
  37. 0.033898
  38. 0.368421
  39. 0.034482
  40. 0.050847

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