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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 528 · 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. 1.8/19 =
  2. 2.2/39 =
  3. 3.5/19 =
  4. 4.1/49 =
  5. 5.4/19 =
  6. 6.6/39 =
  7. 7.9/19 =
  8. 8.6/19 =
  9. 9.9/19 =
  10. 10.3/59 =
  11. 11.7/49 =
  12. 12.4/39 =
  13. 13.8/29 =
  14. 14.7/59 =
  15. 15.1/59 =
  16. 16.7/49 =
  17. 17.7/59 =
  18. 18.7/39 =
  19. 19.8/29 =
  20. 20.5/29 =
  21. 21.7/19 =
  22. 22.1/29 =
  23. 23.4/39 =
  24. 24.5/29 =
  25. 25.3/39 =
  26. 26.2/49 =
  27. 27.6/19 =
  28. 28.1/19 =
  29. 29.5/59 =
  30. 30.3/29 =
  31. 31.1/19 =
  32. 32.1/19 =
  33. 33.7/49 =
  34. 34.9/49 =
  35. 35.2/19 =
  36. 36.5/29 =
  37. 37.4/29 =
  38. 38.1/59 =
  39. 39.4/39 =
  40. 40.1/49 =

Answer key

  1. 0.421052
  2. 0.051282
  3. 0.263157
  4. 0.020408
  5. 0.210526
  6. 0.153846
  7. 0.473684
  8. 0.315789
  9. 0.473684
  10. 0.050847
  11. 0.142857
  12. 0.102564
  13. 0.275862
  14. 0.118644
  15. 0.016949
  16. 0.142857
  17. 0.118644
  18. 0.179487
  19. 0.275862
  20. 0.172413
  21. 0.368421
  22. 0.034482
  23. 0.102564
  24. 0.172413
  25. 0.076923
  26. 0.040816
  27. 0.315789
  28. 0.052631
  29. 0.084745
  30. 0.103448
  31. 0.052631
  32. 0.052631
  33. 0.142857
  34. 0.183673
  35. 0.105263
  36. 0.172413
  37. 0.137931
  38. 0.016949
  39. 0.102564
  40. 0.020408

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