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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 824 · 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. 1.2/59 =
  2. 2.8/49 =
  3. 3.1/29 =
  4. 4.9/39 =
  5. 5.6/39 =
  6. 6.1/19 =
  7. 7.4/59 =
  8. 8.8/29 =
  9. 9.8/49 =
  10. 10.9/29 =
  11. 11.2/29 =
  12. 12.9/19 =
  13. 13.8/59 =
  14. 14.8/49 =
  15. 15.3/59 =
  16. 16.3/49 =
  17. 17.1/19 =
  18. 18.8/39 =
  19. 19.8/29 =
  20. 20.7/59 =
  21. 21.9/29 =
  22. 22.2/19 =
  23. 23.7/19 =
  24. 24.9/39 =
  25. 25.3/29 =
  26. 26.2/49 =
  27. 27.2/39 =
  28. 28.3/19 =
  29. 29.8/49 =
  30. 30.2/39 =
  31. 31.9/19 =
  32. 32.2/19 =
  33. 33.3/19 =
  34. 34.2/49 =
  35. 35.8/19 =
  36. 36.4/19 =
  37. 37.3/49 =
  38. 38.5/19 =
  39. 39.2/29 =
  40. 40.9/49 =

Answer key

  1. 0.033898
  2. 0.163265
  3. 0.034482
  4. 0.230769
  5. 0.153846
  6. 0.052631
  7. 0.067796
  8. 0.275862
  9. 0.163265
  10. 0.310344
  11. 0.068965
  12. 0.473684
  13. 0.135593
  14. 0.163265
  15. 0.050847
  16. 0.061224
  17. 0.052631
  18. 0.205128
  19. 0.275862
  20. 0.118644
  21. 0.310344
  22. 0.105263
  23. 0.368421
  24. 0.230769
  25. 0.103448
  26. 0.040816
  27. 0.051282
  28. 0.157894
  29. 0.163265
  30. 0.051282
  31. 0.473684
  32. 0.105263
  33. 0.157894
  34. 0.040816
  35. 0.421052
  36. 0.210526
  37. 0.061224
  38. 0.263157
  39. 0.068965
  40. 0.183673

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