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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 373 · 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. 2.4/29 =
  3. 3.5/29 =
  4. 4.4/29 =
  5. 5.4/39 =
  6. 6.6/59 =
  7. 7.7/19 =
  8. 8.1/19 =
  9. 9.1/59 =
  10. 10.9/49 =
  11. 11.6/49 =
  12. 12.1/39 =
  13. 13.1/29 =
  14. 14.1/49 =
  15. 15.7/39 =
  16. 16.7/19 =
  17. 17.1/29 =
  18. 18.6/19 =
  19. 19.7/19 =
  20. 20.9/59 =
  21. 21.2/39 =
  22. 22.2/29 =
  23. 23.3/49 =
  24. 24.2/39 =
  25. 25.9/39 =
  26. 26.1/39 =
  27. 27.3/49 =
  28. 28.5/29 =
  29. 29.5/49 =
  30. 30.9/49 =
  31. 31.4/29 =
  32. 32.6/29 =
  33. 33.1/49 =
  34. 34.6/59 =
  35. 35.9/39 =
  36. 36.3/29 =
  37. 37.4/39 =
  38. 38.8/59 =
  39. 39.3/29 =
  40. 40.8/29 =

Answer key

  1. 0.421052
  2. 0.137931
  3. 0.172413
  4. 0.137931
  5. 0.102564
  6. 0.101694
  7. 0.368421
  8. 0.052631
  9. 0.016949
  10. 0.183673
  11. 0.122448
  12. 0.025641
  13. 0.034482
  14. 0.020408
  15. 0.179487
  16. 0.368421
  17. 0.034482
  18. 0.315789
  19. 0.368421
  20. 0.152542
  21. 0.051282
  22. 0.068965
  23. 0.061224
  24. 0.051282
  25. 0.230769
  26. 0.025641
  27. 0.061224
  28. 0.172413
  29. 0.102040
  30. 0.183673
  31. 0.137931
  32. 0.206896
  33. 0.020408
  34. 0.101694
  35. 0.230769
  36. 0.103448
  37. 0.102564
  38. 0.135593
  39. 0.103448
  40. 0.275862

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