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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 927 · 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. 1.1/59 =
  2. 2.1/19 =
  3. 3.4/39 =
  4. 4.5/19 =
  5. 5.8/59 =
  6. 6.3/29 =
  7. 7.2/19 =
  8. 8.5/39 =
  9. 9.2/29 =
  10. 10.6/29 =
  11. 11.9/19 =
  12. 12.3/49 =
  13. 13.2/59 =
  14. 14.6/19 =
  15. 15.2/29 =
  16. 16.3/39 =
  17. 17.3/49 =
  18. 18.2/19 =
  19. 19.7/59 =
  20. 20.7/39 =
  21. 21.6/49 =
  22. 22.1/19 =
  23. 23.1/29 =
  24. 24.1/49 =
  25. 25.4/59 =
  26. 26.6/29 =
  27. 27.3/39 =
  28. 28.8/19 =
  29. 29.5/59 =
  30. 30.7/19 =
  31. 31.2/29 =
  32. 32.5/29 =
  33. 33.1/19 =
  34. 34.2/19 =
  35. 35.8/49 =
  36. 36.9/29 =
  37. 37.4/49 =
  38. 38.8/49 =
  39. 39.7/29 =
  40. 40.9/29 =

Answer key

  1. 0.016949
  2. 0.052631
  3. 0.102564
  4. 0.263157
  5. 0.135593
  6. 0.103448
  7. 0.105263
  8. 0.128205
  9. 0.068965
  10. 0.206896
  11. 0.473684
  12. 0.061224
  13. 0.033898
  14. 0.315789
  15. 0.068965
  16. 0.076923
  17. 0.061224
  18. 0.105263
  19. 0.118644
  20. 0.179487
  21. 0.122448
  22. 0.052631
  23. 0.034482
  24. 0.020408
  25. 0.067796
  26. 0.206896
  27. 0.076923
  28. 0.421052
  29. 0.084745
  30. 0.368421
  31. 0.068965
  32. 0.172413
  33. 0.052631
  34. 0.105263
  35. 0.163265
  36. 0.310344
  37. 0.081632
  38. 0.163265
  39. 0.241379
  40. 0.310344

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