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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 48 · 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. 1.6/29 =
  2. 2.1/49 =
  3. 3.7/19 =
  4. 4.8/39 =
  5. 5.2/29 =
  6. 6.8/59 =
  7. 7.2/29 =
  8. 8.5/59 =
  9. 9.1/29 =
  10. 10.2/39 =
  11. 11.4/39 =
  12. 12.8/19 =
  13. 13.6/19 =
  14. 14.1/29 =
  15. 15.7/19 =
  16. 16.9/19 =
  17. 17.1/19 =
  18. 18.8/29 =
  19. 19.1/19 =
  20. 20.3/49 =
  21. 21.5/49 =
  22. 22.9/29 =
  23. 23.5/59 =
  24. 24.4/49 =
  25. 25.3/49 =
  26. 26.2/39 =
  27. 27.3/39 =
  28. 28.5/59 =
  29. 29.3/19 =
  30. 30.4/19 =
  31. 31.8/19 =
  32. 32.9/59 =
  33. 33.5/49 =
  34. 34.1/39 =
  35. 35.3/29 =
  36. 36.7/39 =
  37. 37.7/39 =
  38. 38.9/29 =
  39. 39.3/19 =
  40. 40.5/59 =

Answer key

  1. 0.206896
  2. 0.020408
  3. 0.368421
  4. 0.205128
  5. 0.068965
  6. 0.135593
  7. 0.068965
  8. 0.084745
  9. 0.034482
  10. 0.051282
  11. 0.102564
  12. 0.421052
  13. 0.315789
  14. 0.034482
  15. 0.368421
  16. 0.473684
  17. 0.052631
  18. 0.275862
  19. 0.052631
  20. 0.061224
  21. 0.102040
  22. 0.310344
  23. 0.084745
  24. 0.081632
  25. 0.061224
  26. 0.051282
  27. 0.076923
  28. 0.084745
  29. 0.157894
  30. 0.210526
  31. 0.421052
  32. 0.152542
  33. 0.102040
  34. 0.025641
  35. 0.103448
  36. 0.179487
  37. 0.179487
  38. 0.310344
  39. 0.157894
  40. 0.084745

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