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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 914 · 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. 1.4/29 =
  2. 2.2/49 =
  3. 3.5/29 =
  4. 4.1/29 =
  5. 5.1/59 =
  6. 6.9/39 =
  7. 7.1/49 =
  8. 8.6/39 =
  9. 9.9/19 =
  10. 10.3/19 =
  11. 11.3/39 =
  12. 12.1/29 =
  13. 13.4/19 =
  14. 14.7/19 =
  15. 15.1/39 =
  16. 16.7/19 =
  17. 17.4/39 =
  18. 18.8/59 =
  19. 19.9/29 =
  20. 20.2/39 =
  21. 21.6/39 =
  22. 22.2/29 =
  23. 23.9/19 =
  24. 24.3/59 =
  25. 25.4/59 =
  26. 26.5/39 =
  27. 27.4/49 =
  28. 28.5/39 =
  29. 29.6/29 =
  30. 30.3/59 =
  31. 31.7/49 =
  32. 32.3/29 =
  33. 33.3/19 =
  34. 34.2/19 =
  35. 35.9/59 =
  36. 36.9/19 =
  37. 37.1/19 =
  38. 38.9/29 =
  39. 39.4/29 =
  40. 40.2/39 =

Answer key

  1. 0.137931
  2. 0.040816
  3. 0.172413
  4. 0.034482
  5. 0.016949
  6. 0.230769
  7. 0.020408
  8. 0.153846
  9. 0.473684
  10. 0.157894
  11. 0.076923
  12. 0.034482
  13. 0.210526
  14. 0.368421
  15. 0.025641
  16. 0.368421
  17. 0.102564
  18. 0.135593
  19. 0.310344
  20. 0.051282
  21. 0.153846
  22. 0.068965
  23. 0.473684
  24. 0.050847
  25. 0.067796
  26. 0.128205
  27. 0.081632
  28. 0.128205
  29. 0.206896
  30. 0.050847
  31. 0.142857
  32. 0.103448
  33. 0.157894
  34. 0.105263
  35. 0.152542
  36. 0.473684
  37. 0.052631
  38. 0.310344
  39. 0.137931
  40. 0.051282

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