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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 360 · 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. 2.3/49 =
  3. 3.5/19 =
  4. 4.7/39 =
  5. 5.9/39 =
  6. 6.1/39 =
  7. 7.1/59 =
  8. 8.9/39 =
  9. 9.1/19 =
  10. 10.8/19 =
  11. 11.4/29 =
  12. 12.5/19 =
  13. 13.8/19 =
  14. 14.2/29 =
  15. 15.9/29 =
  16. 16.2/49 =
  17. 17.2/49 =
  18. 18.7/19 =
  19. 19.9/39 =
  20. 20.1/19 =
  21. 21.3/59 =
  22. 22.8/19 =
  23. 23.6/29 =
  24. 24.9/59 =
  25. 25.2/29 =
  26. 26.8/49 =
  27. 27.8/19 =
  28. 28.8/29 =
  29. 29.6/59 =
  30. 30.6/59 =
  31. 31.2/49 =
  32. 32.1/49 =
  33. 33.5/59 =
  34. 34.6/49 =
  35. 35.7/19 =
  36. 36.6/59 =
  37. 37.1/39 =
  38. 38.1/29 =
  39. 39.1/19 =
  40. 40.8/19 =

Answer key

  1. 0.020408
  2. 0.061224
  3. 0.263157
  4. 0.179487
  5. 0.230769
  6. 0.025641
  7. 0.016949
  8. 0.230769
  9. 0.052631
  10. 0.421052
  11. 0.137931
  12. 0.263157
  13. 0.421052
  14. 0.068965
  15. 0.310344
  16. 0.040816
  17. 0.040816
  18. 0.368421
  19. 0.230769
  20. 0.052631
  21. 0.050847
  22. 0.421052
  23. 0.206896
  24. 0.152542
  25. 0.068965
  26. 0.163265
  27. 0.421052
  28. 0.275862
  29. 0.101694
  30. 0.101694
  31. 0.040816
  32. 0.020408
  33. 0.084745
  34. 0.122448
  35. 0.368421
  36. 0.101694
  37. 0.025641
  38. 0.034482
  39. 0.052631
  40. 0.421052

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