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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 190 · 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. 1.8/19 =
  2. 2.7/29 =
  3. 3.7/19 =
  4. 4.6/19 =
  5. 5.5/59 =
  6. 6.4/19 =
  7. 7.8/59 =
  8. 8.4/29 =
  9. 9.9/39 =
  10. 10.1/49 =
  11. 11.2/39 =
  12. 12.6/29 =
  13. 13.9/59 =
  14. 14.2/59 =
  15. 15.6/49 =
  16. 16.4/49 =
  17. 17.8/19 =
  18. 18.9/59 =
  19. 19.1/59 =
  20. 20.1/19 =
  21. 21.2/29 =
  22. 22.2/59 =
  23. 23.4/29 =
  24. 24.5/29 =
  25. 25.4/39 =
  26. 26.3/19 =
  27. 27.1/29 =
  28. 28.8/19 =
  29. 29.6/19 =
  30. 30.3/49 =
  31. 31.1/29 =
  32. 32.8/59 =
  33. 33.6/49 =
  34. 34.4/19 =
  35. 35.9/19 =
  36. 36.6/59 =
  37. 37.1/49 =
  38. 38.3/59 =
  39. 39.2/29 =
  40. 40.2/19 =

Answer key

  1. 0.421052
  2. 0.241379
  3. 0.368421
  4. 0.315789
  5. 0.084745
  6. 0.210526
  7. 0.135593
  8. 0.137931
  9. 0.230769
  10. 0.020408
  11. 0.051282
  12. 0.206896
  13. 0.152542
  14. 0.033898
  15. 0.122448
  16. 0.081632
  17. 0.421052
  18. 0.152542
  19. 0.016949
  20. 0.052631
  21. 0.068965
  22. 0.033898
  23. 0.137931
  24. 0.172413
  25. 0.102564
  26. 0.157894
  27. 0.034482
  28. 0.421052
  29. 0.315789
  30. 0.061224
  31. 0.034482
  32. 0.135593
  33. 0.122448
  34. 0.210526
  35. 0.473684
  36. 0.101694
  37. 0.020408
  38. 0.050847
  39. 0.068965
  40. 0.105263

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