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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 925 · 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. 1.8/59 =
  2. 2.3/29 =
  3. 3.5/39 =
  4. 4.5/49 =
  5. 5.1/49 =
  6. 6.8/19 =
  7. 7.1/19 =
  8. 8.1/29 =
  9. 9.5/29 =
  10. 10.1/49 =
  11. 11.2/39 =
  12. 12.8/49 =
  13. 13.3/29 =
  14. 14.2/49 =
  15. 15.5/49 =
  16. 16.9/29 =
  17. 17.1/39 =
  18. 18.9/49 =
  19. 19.6/59 =
  20. 20.5/49 =
  21. 21.2/19 =
  22. 22.3/39 =
  23. 23.5/49 =
  24. 24.2/19 =
  25. 25.2/49 =
  26. 26.8/29 =
  27. 27.1/59 =
  28. 28.3/49 =
  29. 29.1/39 =
  30. 30.8/19 =
  31. 31.2/19 =
  32. 32.5/59 =
  33. 33.7/49 =
  34. 34.5/19 =
  35. 35.3/39 =
  36. 36.2/39 =
  37. 37.8/19 =
  38. 38.3/19 =
  39. 39.7/59 =
  40. 40.6/59 =

Answer key

  1. 0.135593
  2. 0.103448
  3. 0.128205
  4. 0.102040
  5. 0.020408
  6. 0.421052
  7. 0.052631
  8. 0.034482
  9. 0.172413
  10. 0.020408
  11. 0.051282
  12. 0.163265
  13. 0.103448
  14. 0.040816
  15. 0.102040
  16. 0.310344
  17. 0.025641
  18. 0.183673
  19. 0.101694
  20. 0.102040
  21. 0.105263
  22. 0.076923
  23. 0.102040
  24. 0.105263
  25. 0.040816
  26. 0.275862
  27. 0.016949
  28. 0.061224
  29. 0.025641
  30. 0.421052
  31. 0.105263
  32. 0.084745
  33. 0.142857
  34. 0.263157
  35. 0.076923
  36. 0.051282
  37. 0.421052
  38. 0.157894
  39. 0.118644
  40. 0.101694

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