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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 325 · 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. 1.3/29 =
  2. 2.6/39 =
  3. 3.8/59 =
  4. 4.9/29 =
  5. 5.8/59 =
  6. 6.5/49 =
  7. 7.7/49 =
  8. 8.7/29 =
  9. 9.8/59 =
  10. 10.8/59 =
  11. 11.3/39 =
  12. 12.5/49 =
  13. 13.7/29 =
  14. 14.5/59 =
  15. 15.8/39 =
  16. 16.3/59 =
  17. 17.5/49 =
  18. 18.1/49 =
  19. 19.4/39 =
  20. 20.3/19 =
  21. 21.9/19 =
  22. 22.7/59 =
  23. 23.2/19 =
  24. 24.1/29 =
  25. 25.1/59 =
  26. 26.5/29 =
  27. 27.6/29 =
  28. 28.1/29 =
  29. 29.7/39 =
  30. 30.2/39 =
  31. 31.2/19 =
  32. 32.6/19 =
  33. 33.1/49 =
  34. 34.3/49 =
  35. 35.8/29 =
  36. 36.4/49 =
  37. 37.5/29 =
  38. 38.5/19 =
  39. 39.5/19 =
  40. 40.5/19 =

Answer key

  1. 0.103448
  2. 0.153846
  3. 0.135593
  4. 0.310344
  5. 0.135593
  6. 0.102040
  7. 0.142857
  8. 0.241379
  9. 0.135593
  10. 0.135593
  11. 0.076923
  12. 0.102040
  13. 0.241379
  14. 0.084745
  15. 0.205128
  16. 0.050847
  17. 0.102040
  18. 0.020408
  19. 0.102564
  20. 0.157894
  21. 0.473684
  22. 0.118644
  23. 0.105263
  24. 0.034482
  25. 0.016949
  26. 0.172413
  27. 0.206896
  28. 0.034482
  29. 0.179487
  30. 0.051282
  31. 0.105263
  32. 0.315789
  33. 0.020408
  34. 0.061224
  35. 0.275862
  36. 0.081632
  37. 0.172413
  38. 0.263157
  39. 0.263157
  40. 0.263157

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