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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 828 · 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. 1.9/59 =
  2. 2.8/49 =
  3. 3.6/19 =
  4. 4.5/19 =
  5. 5.9/49 =
  6. 6.2/49 =
  7. 7.7/49 =
  8. 8.3/29 =
  9. 9.8/49 =
  10. 10.9/29 =
  11. 11.2/39 =
  12. 12.2/49 =
  13. 13.4/19 =
  14. 14.2/49 =
  15. 15.9/19 =
  16. 16.5/49 =
  17. 17.3/29 =
  18. 18.1/59 =
  19. 19.3/49 =
  20. 20.2/39 =
  21. 21.1/29 =
  22. 22.6/59 =
  23. 23.9/29 =
  24. 24.3/49 =
  25. 25.6/19 =
  26. 26.1/59 =
  27. 27.6/29 =
  28. 28.8/29 =
  29. 29.6/49 =
  30. 30.1/19 =
  31. 31.7/59 =
  32. 32.9/49 =
  33. 33.2/39 =
  34. 34.1/19 =
  35. 35.6/49 =
  36. 36.4/19 =
  37. 37.3/29 =
  38. 38.7/49 =
  39. 39.5/59 =
  40. 40.3/49 =

Answer key

  1. 0.152542
  2. 0.163265
  3. 0.315789
  4. 0.263157
  5. 0.183673
  6. 0.040816
  7. 0.142857
  8. 0.103448
  9. 0.163265
  10. 0.310344
  11. 0.051282
  12. 0.040816
  13. 0.210526
  14. 0.040816
  15. 0.473684
  16. 0.102040
  17. 0.103448
  18. 0.016949
  19. 0.061224
  20. 0.051282
  21. 0.034482
  22. 0.101694
  23. 0.310344
  24. 0.061224
  25. 0.315789
  26. 0.016949
  27. 0.206896
  28. 0.275862
  29. 0.122448
  30. 0.052631
  31. 0.118644
  32. 0.183673
  33. 0.051282
  34. 0.052631
  35. 0.122448
  36. 0.210526
  37. 0.103448
  38. 0.142857
  39. 0.084745
  40. 0.061224

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