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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 236 · 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. 1.7/39 =
  2. 2.7/39 =
  3. 3.6/59 =
  4. 4.9/29 =
  5. 5.8/39 =
  6. 6.6/39 =
  7. 7.9/29 =
  8. 8.6/39 =
  9. 9.5/39 =
  10. 10.7/49 =
  11. 11.5/29 =
  12. 12.4/39 =
  13. 13.6/39 =
  14. 14.4/39 =
  15. 15.1/49 =
  16. 16.7/29 =
  17. 17.5/29 =
  18. 18.7/59 =
  19. 19.9/29 =
  20. 20.6/49 =
  21. 21.2/29 =
  22. 22.3/29 =
  23. 23.2/39 =
  24. 24.6/29 =
  25. 25.9/49 =
  26. 26.6/39 =
  27. 27.2/39 =
  28. 28.5/19 =
  29. 29.1/19 =
  30. 30.8/39 =
  31. 31.4/19 =
  32. 32.6/39 =
  33. 33.4/49 =
  34. 34.4/29 =
  35. 35.7/39 =
  36. 36.1/49 =
  37. 37.1/59 =
  38. 38.3/39 =
  39. 39.1/19 =
  40. 40.6/19 =

Answer key

  1. 0.179487
  2. 0.179487
  3. 0.101694
  4. 0.310344
  5. 0.205128
  6. 0.153846
  7. 0.310344
  8. 0.153846
  9. 0.128205
  10. 0.142857
  11. 0.172413
  12. 0.102564
  13. 0.153846
  14. 0.102564
  15. 0.020408
  16. 0.241379
  17. 0.172413
  18. 0.118644
  19. 0.310344
  20. 0.122448
  21. 0.068965
  22. 0.103448
  23. 0.051282
  24. 0.206896
  25. 0.183673
  26. 0.153846
  27. 0.051282
  28. 0.263157
  29. 0.052631
  30. 0.205128
  31. 0.210526
  32. 0.153846
  33. 0.081632
  34. 0.137931
  35. 0.179487
  36. 0.020408
  37. 0.016949
  38. 0.076923
  39. 0.052631
  40. 0.315789

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