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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 770 · 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. 2.8/49 =
  3. 3.7/29 =
  4. 4.9/39 =
  5. 5.1/19 =
  6. 6.2/39 =
  7. 7.8/19 =
  8. 8.6/59 =
  9. 9.6/19 =
  10. 10.3/19 =
  11. 11.4/59 =
  12. 12.5/29 =
  13. 13.7/19 =
  14. 14.7/19 =
  15. 15.3/19 =
  16. 16.3/29 =
  17. 17.9/39 =
  18. 18.1/59 =
  19. 19.3/49 =
  20. 20.2/19 =
  21. 21.7/59 =
  22. 22.4/39 =
  23. 23.4/19 =
  24. 24.6/49 =
  25. 25.8/19 =
  26. 26.4/29 =
  27. 27.2/49 =
  28. 28.4/19 =
  29. 29.6/29 =
  30. 30.8/59 =
  31. 31.3/39 =
  32. 32.6/19 =
  33. 33.8/19 =
  34. 34.5/29 =
  35. 35.7/19 =
  36. 36.8/49 =
  37. 37.6/29 =
  38. 38.9/59 =
  39. 39.2/59 =
  40. 40.3/49 =

Answer key

  1. 0.020408
  2. 0.163265
  3. 0.241379
  4. 0.230769
  5. 0.052631
  6. 0.051282
  7. 0.421052
  8. 0.101694
  9. 0.315789
  10. 0.157894
  11. 0.067796
  12. 0.172413
  13. 0.368421
  14. 0.368421
  15. 0.157894
  16. 0.103448
  17. 0.230769
  18. 0.016949
  19. 0.061224
  20. 0.105263
  21. 0.118644
  22. 0.102564
  23. 0.210526
  24. 0.122448
  25. 0.421052
  26. 0.137931
  27. 0.040816
  28. 0.210526
  29. 0.206896
  30. 0.135593
  31. 0.076923
  32. 0.315789
  33. 0.421052
  34. 0.172413
  35. 0.368421
  36. 0.163265
  37. 0.206896
  38. 0.152542
  39. 0.033898
  40. 0.061224

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