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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 68 · 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. 1.6/59 =
  2. 2.4/49 =
  3. 3.3/19 =
  4. 4.1/39 =
  5. 5.4/59 =
  6. 6.9/39 =
  7. 7.9/29 =
  8. 8.2/59 =
  9. 9.6/59 =
  10. 10.9/49 =
  11. 11.3/59 =
  12. 12.2/29 =
  13. 13.2/59 =
  14. 14.5/49 =
  15. 15.4/59 =
  16. 16.7/49 =
  17. 17.1/29 =
  18. 18.3/29 =
  19. 19.7/29 =
  20. 20.4/49 =
  21. 21.8/59 =
  22. 22.3/29 =
  23. 23.1/29 =
  24. 24.7/29 =
  25. 25.2/29 =
  26. 26.7/49 =
  27. 27.4/29 =
  28. 28.1/49 =
  29. 29.2/59 =
  30. 30.5/19 =
  31. 31.5/49 =
  32. 32.9/59 =
  33. 33.9/39 =
  34. 34.9/49 =
  35. 35.3/49 =
  36. 36.8/39 =
  37. 37.1/59 =
  38. 38.2/39 =
  39. 39.8/29 =
  40. 40.7/49 =

Answer key

  1. 0.101694
  2. 0.081632
  3. 0.157894
  4. 0.025641
  5. 0.067796
  6. 0.230769
  7. 0.310344
  8. 0.033898
  9. 0.101694
  10. 0.183673
  11. 0.050847
  12. 0.068965
  13. 0.033898
  14. 0.102040
  15. 0.067796
  16. 0.142857
  17. 0.034482
  18. 0.103448
  19. 0.241379
  20. 0.081632
  21. 0.135593
  22. 0.103448
  23. 0.034482
  24. 0.241379
  25. 0.068965
  26. 0.142857
  27. 0.137931
  28. 0.020408
  29. 0.033898
  30. 0.263157
  31. 0.102040
  32. 0.152542
  33. 0.230769
  34. 0.183673
  35. 0.061224
  36. 0.205128
  37. 0.016949
  38. 0.051282
  39. 0.275862
  40. 0.142857

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