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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 406 · 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. 1.7/49 =
  2. 2.1/29 =
  3. 3.9/39 =
  4. 4.4/19 =
  5. 5.1/59 =
  6. 6.3/49 =
  7. 7.5/29 =
  8. 8.9/19 =
  9. 9.2/59 =
  10. 10.9/39 =
  11. 11.2/19 =
  12. 12.6/19 =
  13. 13.3/49 =
  14. 14.8/39 =
  15. 15.9/39 =
  16. 16.5/29 =
  17. 17.2/59 =
  18. 18.2/19 =
  19. 19.3/19 =
  20. 20.4/49 =
  21. 21.8/59 =
  22. 22.3/59 =
  23. 23.8/29 =
  24. 24.9/19 =
  25. 25.2/29 =
  26. 26.9/39 =
  27. 27.7/29 =
  28. 28.9/29 =
  29. 29.8/59 =
  30. 30.4/49 =
  31. 31.4/19 =
  32. 32.3/19 =
  33. 33.1/29 =
  34. 34.2/39 =
  35. 35.3/29 =
  36. 36.5/19 =
  37. 37.4/49 =
  38. 38.6/39 =
  39. 39.9/49 =
  40. 40.9/29 =

Answer key

  1. 0.142857
  2. 0.034482
  3. 0.230769
  4. 0.210526
  5. 0.016949
  6. 0.061224
  7. 0.172413
  8. 0.473684
  9. 0.033898
  10. 0.230769
  11. 0.105263
  12. 0.315789
  13. 0.061224
  14. 0.205128
  15. 0.230769
  16. 0.172413
  17. 0.033898
  18. 0.105263
  19. 0.157894
  20. 0.081632
  21. 0.135593
  22. 0.050847
  23. 0.275862
  24. 0.473684
  25. 0.068965
  26. 0.230769
  27. 0.241379
  28. 0.310344
  29. 0.135593
  30. 0.081632
  31. 0.210526
  32. 0.157894
  33. 0.034482
  34. 0.051282
  35. 0.103448
  36. 0.263157
  37. 0.081632
  38. 0.153846
  39. 0.183673
  40. 0.310344

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