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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 218 · 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. 1.2/49 =
  2. 2.8/19 =
  3. 3.1/29 =
  4. 4.6/19 =
  5. 5.5/19 =
  6. 6.3/29 =
  7. 7.7/49 =
  8. 8.5/59 =
  9. 9.3/29 =
  10. 10.1/39 =
  11. 11.7/29 =
  12. 12.1/49 =
  13. 13.1/19 =
  14. 14.8/59 =
  15. 15.6/59 =
  16. 16.6/29 =
  17. 17.4/29 =
  18. 18.1/29 =
  19. 19.3/59 =
  20. 20.8/29 =
  21. 21.8/19 =
  22. 22.3/39 =
  23. 23.8/29 =
  24. 24.3/19 =
  25. 25.4/59 =
  26. 26.1/29 =
  27. 27.8/19 =
  28. 28.3/29 =
  29. 29.1/59 =
  30. 30.7/49 =
  31. 31.1/29 =
  32. 32.6/59 =
  33. 33.7/29 =
  34. 34.2/39 =
  35. 35.2/39 =
  36. 36.9/29 =
  37. 37.1/39 =
  38. 38.2/19 =
  39. 39.4/49 =
  40. 40.1/59 =

Answer key

  1. 0.040816
  2. 0.421052
  3. 0.034482
  4. 0.315789
  5. 0.263157
  6. 0.103448
  7. 0.142857
  8. 0.084745
  9. 0.103448
  10. 0.025641
  11. 0.241379
  12. 0.020408
  13. 0.052631
  14. 0.135593
  15. 0.101694
  16. 0.206896
  17. 0.137931
  18. 0.034482
  19. 0.050847
  20. 0.275862
  21. 0.421052
  22. 0.076923
  23. 0.275862
  24. 0.157894
  25. 0.067796
  26. 0.034482
  27. 0.421052
  28. 0.103448
  29. 0.016949
  30. 0.142857
  31. 0.034482
  32. 0.101694
  33. 0.241379
  34. 0.051282
  35. 0.051282
  36. 0.310344
  37. 0.025641
  38. 0.105263
  39. 0.081632
  40. 0.016949

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