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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 800 · 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. 1.9/59 =
  2. 2.2/29 =
  3. 3.1/19 =
  4. 4.7/49 =
  5. 5.9/49 =
  6. 6.9/49 =
  7. 7.5/29 =
  8. 8.8/19 =
  9. 9.4/49 =
  10. 10.7/29 =
  11. 11.6/49 =
  12. 12.8/19 =
  13. 13.6/19 =
  14. 14.2/29 =
  15. 15.1/29 =
  16. 16.3/39 =
  17. 17.8/39 =
  18. 18.8/29 =
  19. 19.5/39 =
  20. 20.4/39 =
  21. 21.1/39 =
  22. 22.6/39 =
  23. 23.8/19 =
  24. 24.7/19 =
  25. 25.9/49 =
  26. 26.1/39 =
  27. 27.1/19 =
  28. 28.5/29 =
  29. 29.3/39 =
  30. 30.1/19 =
  31. 31.3/19 =
  32. 32.6/49 =
  33. 33.2/19 =
  34. 34.9/59 =
  35. 35.5/29 =
  36. 36.2/49 =
  37. 37.3/39 =
  38. 38.6/59 =
  39. 39.4/59 =
  40. 40.2/59 =

Answer key

  1. 0.152542
  2. 0.068965
  3. 0.052631
  4. 0.142857
  5. 0.183673
  6. 0.183673
  7. 0.172413
  8. 0.421052
  9. 0.081632
  10. 0.241379
  11. 0.122448
  12. 0.421052
  13. 0.315789
  14. 0.068965
  15. 0.034482
  16. 0.076923
  17. 0.205128
  18. 0.275862
  19. 0.128205
  20. 0.102564
  21. 0.025641
  22. 0.153846
  23. 0.421052
  24. 0.368421
  25. 0.183673
  26. 0.025641
  27. 0.052631
  28. 0.172413
  29. 0.076923
  30. 0.052631
  31. 0.157894
  32. 0.122448
  33. 0.105263
  34. 0.152542
  35. 0.172413
  36. 0.040816
  37. 0.076923
  38. 0.101694
  39. 0.067796
  40. 0.033898

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