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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 628 · 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. 1.2/59 =
  2. 2.4/19 =
  3. 3.9/19 =
  4. 4.4/39 =
  5. 5.8/19 =
  6. 6.7/19 =
  7. 7.7/49 =
  8. 8.7/49 =
  9. 9.1/59 =
  10. 10.2/59 =
  11. 11.9/19 =
  12. 12.1/39 =
  13. 13.5/19 =
  14. 14.5/49 =
  15. 15.4/19 =
  16. 16.6/39 =
  17. 17.3/29 =
  18. 18.8/59 =
  19. 19.7/59 =
  20. 20.8/29 =
  21. 21.3/29 =
  22. 22.5/19 =
  23. 23.4/29 =
  24. 24.4/19 =
  25. 25.5/59 =
  26. 26.6/19 =
  27. 27.4/39 =
  28. 28.6/19 =
  29. 29.9/39 =
  30. 30.1/39 =
  31. 31.5/49 =
  32. 32.3/49 =
  33. 33.6/59 =
  34. 34.4/49 =
  35. 35.5/49 =
  36. 36.1/49 =
  37. 37.7/29 =
  38. 38.1/49 =
  39. 39.6/49 =
  40. 40.9/19 =

Answer key

  1. 0.033898
  2. 0.210526
  3. 0.473684
  4. 0.102564
  5. 0.421052
  6. 0.368421
  7. 0.142857
  8. 0.142857
  9. 0.016949
  10. 0.033898
  11. 0.473684
  12. 0.025641
  13. 0.263157
  14. 0.102040
  15. 0.210526
  16. 0.153846
  17. 0.103448
  18. 0.135593
  19. 0.118644
  20. 0.275862
  21. 0.103448
  22. 0.263157
  23. 0.137931
  24. 0.210526
  25. 0.084745
  26. 0.315789
  27. 0.102564
  28. 0.315789
  29. 0.230769
  30. 0.025641
  31. 0.102040
  32. 0.061224
  33. 0.101694
  34. 0.081632
  35. 0.102040
  36. 0.020408
  37. 0.241379
  38. 0.020408
  39. 0.122448
  40. 0.473684

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