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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 183 · 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. 1.3/19 =
  2. 2.5/29 =
  3. 3.1/49 =
  4. 4.7/49 =
  5. 5.8/29 =
  6. 6.2/49 =
  7. 7.7/19 =
  8. 8.3/19 =
  9. 9.8/19 =
  10. 10.3/19 =
  11. 11.6/49 =
  12. 12.7/29 =
  13. 13.8/49 =
  14. 14.2/49 =
  15. 15.8/59 =
  16. 16.5/29 =
  17. 17.4/49 =
  18. 18.8/19 =
  19. 19.9/49 =
  20. 20.5/59 =
  21. 21.2/29 =
  22. 22.3/19 =
  23. 23.9/59 =
  24. 24.3/49 =
  25. 25.8/39 =
  26. 26.3/49 =
  27. 27.9/49 =
  28. 28.2/39 =
  29. 29.7/19 =
  30. 30.4/59 =
  31. 31.1/49 =
  32. 32.6/19 =
  33. 33.1/49 =
  34. 34.7/49 =
  35. 35.2/59 =
  36. 36.9/19 =
  37. 37.7/19 =
  38. 38.5/19 =
  39. 39.6/19 =
  40. 40.7/59 =

Answer key

  1. 0.157894
  2. 0.172413
  3. 0.020408
  4. 0.142857
  5. 0.275862
  6. 0.040816
  7. 0.368421
  8. 0.157894
  9. 0.421052
  10. 0.157894
  11. 0.122448
  12. 0.241379
  13. 0.163265
  14. 0.040816
  15. 0.135593
  16. 0.172413
  17. 0.081632
  18. 0.421052
  19. 0.183673
  20. 0.084745
  21. 0.068965
  22. 0.157894
  23. 0.152542
  24. 0.061224
  25. 0.205128
  26. 0.061224
  27. 0.183673
  28. 0.051282
  29. 0.368421
  30. 0.067796
  31. 0.020408
  32. 0.315789
  33. 0.020408
  34. 0.142857
  35. 0.033898
  36. 0.473684
  37. 0.368421
  38. 0.263157
  39. 0.315789
  40. 0.118644

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