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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 310 · 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. 1.3/59 =
  2. 2.7/59 =
  3. 3.3/19 =
  4. 4.1/49 =
  5. 5.7/19 =
  6. 6.2/49 =
  7. 7.6/19 =
  8. 8.2/59 =
  9. 9.8/19 =
  10. 10.8/19 =
  11. 11.8/59 =
  12. 12.7/19 =
  13. 13.1/59 =
  14. 14.2/29 =
  15. 15.8/39 =
  16. 16.1/49 =
  17. 17.7/49 =
  18. 18.7/49 =
  19. 19.7/19 =
  20. 20.1/59 =
  21. 21.7/19 =
  22. 22.1/59 =
  23. 23.4/19 =
  24. 24.1/29 =
  25. 25.9/49 =
  26. 26.1/49 =
  27. 27.7/59 =
  28. 28.9/19 =
  29. 29.7/29 =
  30. 30.7/19 =
  31. 31.3/39 =
  32. 32.2/49 =
  33. 33.1/39 =
  34. 34.1/19 =
  35. 35.9/59 =
  36. 36.3/39 =
  37. 37.3/19 =
  38. 38.1/19 =
  39. 39.3/39 =
  40. 40.9/29 =

Answer key

  1. 0.050847
  2. 0.118644
  3. 0.157894
  4. 0.020408
  5. 0.368421
  6. 0.040816
  7. 0.315789
  8. 0.033898
  9. 0.421052
  10. 0.421052
  11. 0.135593
  12. 0.368421
  13. 0.016949
  14. 0.068965
  15. 0.205128
  16. 0.020408
  17. 0.142857
  18. 0.142857
  19. 0.368421
  20. 0.016949
  21. 0.368421
  22. 0.016949
  23. 0.210526
  24. 0.034482
  25. 0.183673
  26. 0.020408
  27. 0.118644
  28. 0.473684
  29. 0.241379
  30. 0.368421
  31. 0.076923
  32. 0.040816
  33. 0.025641
  34. 0.052631
  35. 0.152542
  36. 0.076923
  37. 0.157894
  38. 0.052631
  39. 0.076923
  40. 0.310344

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