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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 275 · 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. 1.6/39 =
  2. 2.7/49 =
  3. 3.7/49 =
  4. 4.8/19 =
  5. 5.5/19 =
  6. 6.2/39 =
  7. 7.1/39 =
  8. 8.7/49 =
  9. 9.2/29 =
  10. 10.1/59 =
  11. 11.2/19 =
  12. 12.2/39 =
  13. 13.2/19 =
  14. 14.2/19 =
  15. 15.8/59 =
  16. 16.4/29 =
  17. 17.9/29 =
  18. 18.2/19 =
  19. 19.8/29 =
  20. 20.2/29 =
  21. 21.3/59 =
  22. 22.6/29 =
  23. 23.9/19 =
  24. 24.8/59 =
  25. 25.2/59 =
  26. 26.5/49 =
  27. 27.1/39 =
  28. 28.1/29 =
  29. 29.5/59 =
  30. 30.7/39 =
  31. 31.2/29 =
  32. 32.9/59 =
  33. 33.7/59 =
  34. 34.3/29 =
  35. 35.2/59 =
  36. 36.1/19 =
  37. 37.2/19 =
  38. 38.7/59 =
  39. 39.5/59 =
  40. 40.9/19 =

Answer key

  1. 0.153846
  2. 0.142857
  3. 0.142857
  4. 0.421052
  5. 0.263157
  6. 0.051282
  7. 0.025641
  8. 0.142857
  9. 0.068965
  10. 0.016949
  11. 0.105263
  12. 0.051282
  13. 0.105263
  14. 0.105263
  15. 0.135593
  16. 0.137931
  17. 0.310344
  18. 0.105263
  19. 0.275862
  20. 0.068965
  21. 0.050847
  22. 0.206896
  23. 0.473684
  24. 0.135593
  25. 0.033898
  26. 0.102040
  27. 0.025641
  28. 0.034482
  29. 0.084745
  30. 0.179487
  31. 0.068965
  32. 0.152542
  33. 0.118644
  34. 0.103448
  35. 0.033898
  36. 0.052631
  37. 0.105263
  38. 0.118644
  39. 0.084745
  40. 0.473684

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