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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 445 · 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. 1.9/49 =
  2. 2.2/19 =
  3. 3.2/39 =
  4. 4.7/39 =
  5. 5.1/39 =
  6. 6.6/19 =
  7. 7.4/19 =
  8. 8.6/19 =
  9. 9.2/39 =
  10. 10.3/29 =
  11. 11.8/39 =
  12. 12.1/49 =
  13. 13.1/19 =
  14. 14.3/29 =
  15. 15.7/19 =
  16. 16.9/39 =
  17. 17.3/29 =
  18. 18.1/59 =
  19. 19.8/59 =
  20. 20.7/59 =
  21. 21.9/49 =
  22. 22.5/19 =
  23. 23.7/49 =
  24. 24.3/29 =
  25. 25.4/39 =
  26. 26.7/19 =
  27. 27.3/29 =
  28. 28.6/49 =
  29. 29.9/29 =
  30. 30.3/59 =
  31. 31.2/39 =
  32. 32.1/39 =
  33. 33.4/19 =
  34. 34.4/39 =
  35. 35.6/29 =
  36. 36.5/49 =
  37. 37.8/59 =
  38. 38.9/29 =
  39. 39.9/29 =
  40. 40.6/29 =

Answer key

  1. 0.183673
  2. 0.105263
  3. 0.051282
  4. 0.179487
  5. 0.025641
  6. 0.315789
  7. 0.210526
  8. 0.315789
  9. 0.051282
  10. 0.103448
  11. 0.205128
  12. 0.020408
  13. 0.052631
  14. 0.103448
  15. 0.368421
  16. 0.230769
  17. 0.103448
  18. 0.016949
  19. 0.135593
  20. 0.118644
  21. 0.183673
  22. 0.263157
  23. 0.142857
  24. 0.103448
  25. 0.102564
  26. 0.368421
  27. 0.103448
  28. 0.122448
  29. 0.310344
  30. 0.050847
  31. 0.051282
  32. 0.025641
  33. 0.210526
  34. 0.102564
  35. 0.206896
  36. 0.102040
  37. 0.135593
  38. 0.310344
  39. 0.310344
  40. 0.206896

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