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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 274 · 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. 1.3/29 =
  2. 2.2/39 =
  3. 3.9/59 =
  4. 4.6/39 =
  5. 5.5/59 =
  6. 6.5/29 =
  7. 7.4/59 =
  8. 8.5/29 =
  9. 9.8/39 =
  10. 10.1/39 =
  11. 11.6/19 =
  12. 12.2/39 =
  13. 13.4/29 =
  14. 14.8/29 =
  15. 15.6/29 =
  16. 16.4/59 =
  17. 17.8/39 =
  18. 18.9/29 =
  19. 19.3/49 =
  20. 20.8/19 =
  21. 21.8/29 =
  22. 22.7/19 =
  23. 23.2/19 =
  24. 24.1/19 =
  25. 25.2/19 =
  26. 26.8/39 =
  27. 27.5/59 =
  28. 28.2/49 =
  29. 29.7/59 =
  30. 30.6/19 =
  31. 31.9/49 =
  32. 32.7/29 =
  33. 33.9/59 =
  34. 34.1/29 =
  35. 35.4/29 =
  36. 36.4/59 =
  37. 37.2/29 =
  38. 38.7/59 =
  39. 39.5/59 =
  40. 40.8/19 =

Answer key

  1. 0.103448
  2. 0.051282
  3. 0.152542
  4. 0.153846
  5. 0.084745
  6. 0.172413
  7. 0.067796
  8. 0.172413
  9. 0.205128
  10. 0.025641
  11. 0.315789
  12. 0.051282
  13. 0.137931
  14. 0.275862
  15. 0.206896
  16. 0.067796
  17. 0.205128
  18. 0.310344
  19. 0.061224
  20. 0.421052
  21. 0.275862
  22. 0.368421
  23. 0.105263
  24. 0.052631
  25. 0.105263
  26. 0.205128
  27. 0.084745
  28. 0.040816
  29. 0.118644
  30. 0.315789
  31. 0.183673
  32. 0.241379
  33. 0.152542
  34. 0.034482
  35. 0.137931
  36. 0.067796
  37. 0.068965
  38. 0.118644
  39. 0.084745
  40. 0.421052

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