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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 43 · 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. 2.8/59 =
  3. 3.1/49 =
  4. 4.7/29 =
  5. 5.6/19 =
  6. 6.1/59 =
  7. 7.4/19 =
  8. 8.2/49 =
  9. 9.8/19 =
  10. 10.3/39 =
  11. 11.3/59 =
  12. 12.6/59 =
  13. 13.2/29 =
  14. 14.8/19 =
  15. 15.4/19 =
  16. 16.1/19 =
  17. 17.2/49 =
  18. 18.3/49 =
  19. 19.4/59 =
  20. 20.4/49 =
  21. 21.2/29 =
  22. 22.4/49 =
  23. 23.5/49 =
  24. 24.1/39 =
  25. 25.8/39 =
  26. 26.4/19 =
  27. 27.1/29 =
  28. 28.6/29 =
  29. 29.2/59 =
  30. 30.9/19 =
  31. 31.3/49 =
  32. 32.6/19 =
  33. 33.5/49 =
  34. 34.2/49 =
  35. 35.7/59 =
  36. 36.2/39 =
  37. 37.7/59 =
  38. 38.2/19 =
  39. 39.1/59 =
  40. 40.6/39 =

Answer key

  1. 0.135593
  2. 0.135593
  3. 0.020408
  4. 0.241379
  5. 0.315789
  6. 0.016949
  7. 0.210526
  8. 0.040816
  9. 0.421052
  10. 0.076923
  11. 0.050847
  12. 0.101694
  13. 0.068965
  14. 0.421052
  15. 0.210526
  16. 0.052631
  17. 0.040816
  18. 0.061224
  19. 0.067796
  20. 0.081632
  21. 0.068965
  22. 0.081632
  23. 0.102040
  24. 0.025641
  25. 0.205128
  26. 0.210526
  27. 0.034482
  28. 0.206896
  29. 0.033898
  30. 0.473684
  31. 0.061224
  32. 0.315789
  33. 0.102040
  34. 0.040816
  35. 0.118644
  36. 0.051282
  37. 0.118644
  38. 0.105263
  39. 0.016949
  40. 0.153846

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