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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 610 · 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. 1.2/49 =
  2. 2.4/49 =
  3. 3.2/29 =
  4. 4.1/39 =
  5. 5.6/29 =
  6. 6.5/19 =
  7. 7.1/19 =
  8. 8.1/49 =
  9. 9.1/59 =
  10. 10.5/39 =
  11. 11.3/29 =
  12. 12.4/19 =
  13. 13.4/49 =
  14. 14.2/59 =
  15. 15.2/29 =
  16. 16.4/29 =
  17. 17.1/19 =
  18. 18.5/49 =
  19. 19.3/39 =
  20. 20.5/19 =
  21. 21.6/49 =
  22. 22.1/39 =
  23. 23.5/19 =
  24. 24.2/29 =
  25. 25.4/19 =
  26. 26.7/39 =
  27. 27.1/49 =
  28. 28.9/29 =
  29. 29.2/39 =
  30. 30.3/19 =
  31. 31.1/59 =
  32. 32.2/39 =
  33. 33.7/29 =
  34. 34.8/39 =
  35. 35.8/39 =
  36. 36.2/39 =
  37. 37.3/29 =
  38. 38.5/49 =
  39. 39.1/29 =
  40. 40.7/49 =

Answer key

  1. 0.040816
  2. 0.081632
  3. 0.068965
  4. 0.025641
  5. 0.206896
  6. 0.263157
  7. 0.052631
  8. 0.020408
  9. 0.016949
  10. 0.128205
  11. 0.103448
  12. 0.210526
  13. 0.081632
  14. 0.033898
  15. 0.068965
  16. 0.137931
  17. 0.052631
  18. 0.102040
  19. 0.076923
  20. 0.263157
  21. 0.122448
  22. 0.025641
  23. 0.263157
  24. 0.068965
  25. 0.210526
  26. 0.179487
  27. 0.020408
  28. 0.310344
  29. 0.051282
  30. 0.157894
  31. 0.016949
  32. 0.051282
  33. 0.241379
  34. 0.205128
  35. 0.205128
  36. 0.051282
  37. 0.103448
  38. 0.102040
  39. 0.034482
  40. 0.142857

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