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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 87 · 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. 1.6/39 =
  2. 2.3/39 =
  3. 3.4/49 =
  4. 4.3/19 =
  5. 5.2/29 =
  6. 6.9/29 =
  7. 7.1/39 =
  8. 8.4/19 =
  9. 9.1/39 =
  10. 10.4/19 =
  11. 11.7/19 =
  12. 12.9/19 =
  13. 13.1/39 =
  14. 14.5/29 =
  15. 15.6/49 =
  16. 16.1/49 =
  17. 17.6/29 =
  18. 18.2/39 =
  19. 19.2/49 =
  20. 20.9/19 =
  21. 21.9/19 =
  22. 22.3/39 =
  23. 23.1/19 =
  24. 24.6/59 =
  25. 25.9/39 =
  26. 26.2/59 =
  27. 27.2/59 =
  28. 28.7/19 =
  29. 29.3/59 =
  30. 30.1/59 =
  31. 31.3/59 =
  32. 32.5/49 =
  33. 33.3/49 =
  34. 34.9/19 =
  35. 35.9/59 =
  36. 36.8/29 =
  37. 37.7/59 =
  38. 38.2/19 =
  39. 39.5/49 =
  40. 40.9/39 =

Answer key

  1. 0.153846
  2. 0.076923
  3. 0.081632
  4. 0.157894
  5. 0.068965
  6. 0.310344
  7. 0.025641
  8. 0.210526
  9. 0.025641
  10. 0.210526
  11. 0.368421
  12. 0.473684
  13. 0.025641
  14. 0.172413
  15. 0.122448
  16. 0.020408
  17. 0.206896
  18. 0.051282
  19. 0.040816
  20. 0.473684
  21. 0.473684
  22. 0.076923
  23. 0.052631
  24. 0.101694
  25. 0.230769
  26. 0.033898
  27. 0.033898
  28. 0.368421
  29. 0.050847
  30. 0.016949
  31. 0.050847
  32. 0.102040
  33. 0.061224
  34. 0.473684
  35. 0.152542
  36. 0.275862
  37. 0.118644
  38. 0.105263
  39. 0.102040
  40. 0.230769

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