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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 820 · 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. 1.4/19 =
  2. 2.1/19 =
  3. 3.1/19 =
  4. 4.4/49 =
  5. 5.8/49 =
  6. 6.3/39 =
  7. 7.2/19 =
  8. 8.4/29 =
  9. 9.2/29 =
  10. 10.2/39 =
  11. 11.7/19 =
  12. 12.1/29 =
  13. 13.6/19 =
  14. 14.1/29 =
  15. 15.7/59 =
  16. 16.1/19 =
  17. 17.2/49 =
  18. 18.3/19 =
  19. 19.4/39 =
  20. 20.3/29 =
  21. 21.4/59 =
  22. 22.6/59 =
  23. 23.2/19 =
  24. 24.9/59 =
  25. 25.8/59 =
  26. 26.1/29 =
  27. 27.9/59 =
  28. 28.4/49 =
  29. 29.7/19 =
  30. 30.3/49 =
  31. 31.5/29 =
  32. 32.6/29 =
  33. 33.3/19 =
  34. 34.1/29 =
  35. 35.8/39 =
  36. 36.1/29 =
  37. 37.3/19 =
  38. 38.3/59 =
  39. 39.3/19 =
  40. 40.3/59 =

Answer key

  1. 0.210526
  2. 0.052631
  3. 0.052631
  4. 0.081632
  5. 0.163265
  6. 0.076923
  7. 0.105263
  8. 0.137931
  9. 0.068965
  10. 0.051282
  11. 0.368421
  12. 0.034482
  13. 0.315789
  14. 0.034482
  15. 0.118644
  16. 0.052631
  17. 0.040816
  18. 0.157894
  19. 0.102564
  20. 0.103448
  21. 0.067796
  22. 0.101694
  23. 0.105263
  24. 0.152542
  25. 0.135593
  26. 0.034482
  27. 0.152542
  28. 0.081632
  29. 0.368421
  30. 0.061224
  31. 0.172413
  32. 0.206896
  33. 0.157894
  34. 0.034482
  35. 0.205128
  36. 0.034482
  37. 0.157894
  38. 0.050847
  39. 0.157894
  40. 0.050847

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