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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 585 · 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. 1.4/39 =
  2. 2.7/49 =
  3. 3.5/59 =
  4. 4.4/49 =
  5. 5.2/59 =
  6. 6.2/59 =
  7. 7.2/19 =
  8. 8.2/29 =
  9. 9.9/39 =
  10. 10.7/39 =
  11. 11.4/39 =
  12. 12.5/29 =
  13. 13.7/49 =
  14. 14.9/19 =
  15. 15.4/19 =
  16. 16.9/59 =
  17. 17.2/59 =
  18. 18.9/19 =
  19. 19.4/39 =
  20. 20.2/19 =
  21. 21.7/39 =
  22. 22.1/29 =
  23. 23.1/39 =
  24. 24.6/39 =
  25. 25.7/49 =
  26. 26.8/19 =
  27. 27.9/29 =
  28. 28.5/49 =
  29. 29.2/29 =
  30. 30.6/49 =
  31. 31.3/19 =
  32. 32.9/39 =
  33. 33.6/29 =
  34. 34.1/29 =
  35. 35.8/19 =
  36. 36.5/29 =
  37. 37.6/39 =
  38. 38.6/29 =
  39. 39.5/49 =
  40. 40.6/59 =

Answer key

  1. 0.102564
  2. 0.142857
  3. 0.084745
  4. 0.081632
  5. 0.033898
  6. 0.033898
  7. 0.105263
  8. 0.068965
  9. 0.230769
  10. 0.179487
  11. 0.102564
  12. 0.172413
  13. 0.142857
  14. 0.473684
  15. 0.210526
  16. 0.152542
  17. 0.033898
  18. 0.473684
  19. 0.102564
  20. 0.105263
  21. 0.179487
  22. 0.034482
  23. 0.025641
  24. 0.153846
  25. 0.142857
  26. 0.421052
  27. 0.310344
  28. 0.102040
  29. 0.068965
  30. 0.122448
  31. 0.157894
  32. 0.230769
  33. 0.206896
  34. 0.034482
  35. 0.421052
  36. 0.172413
  37. 0.153846
  38. 0.206896
  39. 0.102040
  40. 0.101694

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