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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 697 · 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. 1.1/49 =
  2. 2.6/39 =
  3. 3.3/39 =
  4. 4.5/59 =
  5. 5.9/49 =
  6. 6.4/19 =
  7. 7.5/39 =
  8. 8.7/59 =
  9. 9.8/39 =
  10. 10.7/39 =
  11. 11.1/49 =
  12. 12.3/49 =
  13. 13.7/49 =
  14. 14.2/39 =
  15. 15.4/39 =
  16. 16.4/19 =
  17. 17.5/59 =
  18. 18.4/59 =
  19. 19.8/29 =
  20. 20.2/29 =
  21. 21.2/39 =
  22. 22.2/39 =
  23. 23.9/29 =
  24. 24.1/19 =
  25. 25.3/29 =
  26. 26.8/29 =
  27. 27.8/19 =
  28. 28.4/19 =
  29. 29.6/39 =
  30. 30.9/49 =
  31. 31.3/19 =
  32. 32.9/49 =
  33. 33.9/49 =
  34. 34.9/29 =
  35. 35.3/59 =
  36. 36.3/29 =
  37. 37.5/39 =
  38. 38.2/49 =
  39. 39.3/39 =
  40. 40.5/49 =

Answer key

  1. 0.020408
  2. 0.153846
  3. 0.076923
  4. 0.084745
  5. 0.183673
  6. 0.210526
  7. 0.128205
  8. 0.118644
  9. 0.205128
  10. 0.179487
  11. 0.020408
  12. 0.061224
  13. 0.142857
  14. 0.051282
  15. 0.102564
  16. 0.210526
  17. 0.084745
  18. 0.067796
  19. 0.275862
  20. 0.068965
  21. 0.051282
  22. 0.051282
  23. 0.310344
  24. 0.052631
  25. 0.103448
  26. 0.275862
  27. 0.421052
  28. 0.210526
  29. 0.153846
  30. 0.183673
  31. 0.157894
  32. 0.183673
  33. 0.183673
  34. 0.310344
  35. 0.050847
  36. 0.103448
  37. 0.128205
  38. 0.040816
  39. 0.076923
  40. 0.102040

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