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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 150 · 40 sums
TalentJR

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. 1.1/19 =
  2. 2.2/39 =
  3. 3.9/49 =
  4. 4.3/49 =
  5. 5.4/59 =
  6. 6.3/29 =
  7. 7.3/39 =
  8. 8.3/19 =
  9. 9.3/29 =
  10. 10.7/29 =
  11. 11.2/49 =
  12. 12.2/29 =
  13. 13.6/49 =
  14. 14.5/49 =
  15. 15.3/59 =
  16. 16.8/19 =
  17. 17.9/59 =
  18. 18.8/39 =
  19. 19.1/59 =
  20. 20.7/39 =
  21. 21.7/19 =
  22. 22.2/49 =
  23. 23.6/59 =
  24. 24.2/39 =
  25. 25.7/29 =
  26. 26.9/59 =
  27. 27.9/59 =
  28. 28.2/29 =
  29. 29.3/49 =
  30. 30.1/29 =
  31. 31.5/29 =
  32. 32.1/59 =
  33. 33.6/49 =
  34. 34.7/29 =
  35. 35.4/29 =
  36. 36.9/29 =
  37. 37.7/59 =
  38. 38.3/49 =
  39. 39.4/49 =
  40. 40.7/39 =

Answer key

  1. 0.052631
  2. 0.051282
  3. 0.183673
  4. 0.061224
  5. 0.067796
  6. 0.103448
  7. 0.076923
  8. 0.157894
  9. 0.103448
  10. 0.241379
  11. 0.040816
  12. 0.068965
  13. 0.122448
  14. 0.102040
  15. 0.050847
  16. 0.421052
  17. 0.152542
  18. 0.205128
  19. 0.016949
  20. 0.179487
  21. 0.368421
  22. 0.040816
  23. 0.101694
  24. 0.051282
  25. 0.241379
  26. 0.152542
  27. 0.152542
  28. 0.068965
  29. 0.061224
  30. 0.034482
  31. 0.172413
  32. 0.016949
  33. 0.122448
  34. 0.241379
  35. 0.137931
  36. 0.310344
  37. 0.118644
  38. 0.061224
  39. 0.081632
  40. 0.179487

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