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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 858 · 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. 1.6/29 =
  2. 2.9/39 =
  3. 3.1/19 =
  4. 4.2/29 =
  5. 5.5/49 =
  6. 6.7/59 =
  7. 7.5/59 =
  8. 8.7/39 =
  9. 9.2/49 =
  10. 10.5/29 =
  11. 11.3/49 =
  12. 12.3/59 =
  13. 13.6/49 =
  14. 14.7/29 =
  15. 15.8/39 =
  16. 16.3/39 =
  17. 17.8/59 =
  18. 18.8/49 =
  19. 19.6/19 =
  20. 20.9/49 =
  21. 21.2/49 =
  22. 22.9/59 =
  23. 23.2/29 =
  24. 24.9/39 =
  25. 25.4/19 =
  26. 26.3/59 =
  27. 27.2/39 =
  28. 28.1/19 =
  29. 29.8/39 =
  30. 30.9/19 =
  31. 31.3/19 =
  32. 32.5/19 =
  33. 33.7/49 =
  34. 34.5/19 =
  35. 35.8/29 =
  36. 36.1/29 =
  37. 37.8/19 =
  38. 38.7/59 =
  39. 39.5/49 =
  40. 40.8/19 =

Answer key

  1. 0.206896
  2. 0.230769
  3. 0.052631
  4. 0.068965
  5. 0.102040
  6. 0.118644
  7. 0.084745
  8. 0.179487
  9. 0.040816
  10. 0.172413
  11. 0.061224
  12. 0.050847
  13. 0.122448
  14. 0.241379
  15. 0.205128
  16. 0.076923
  17. 0.135593
  18. 0.163265
  19. 0.315789
  20. 0.183673
  21. 0.040816
  22. 0.152542
  23. 0.068965
  24. 0.230769
  25. 0.210526
  26. 0.050847
  27. 0.051282
  28. 0.052631
  29. 0.205128
  30. 0.473684
  31. 0.157894
  32. 0.263157
  33. 0.142857
  34. 0.263157
  35. 0.275862
  36. 0.034482
  37. 0.421052
  38. 0.118644
  39. 0.102040
  40. 0.421052

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