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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 232 · 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. 1.2/59 =
  2. 2.5/29 =
  3. 3.4/19 =
  4. 4.8/19 =
  5. 5.2/39 =
  6. 6.4/19 =
  7. 7.5/59 =
  8. 8.6/49 =
  9. 9.2/19 =
  10. 10.9/59 =
  11. 11.7/29 =
  12. 12.7/29 =
  13. 13.9/29 =
  14. 14.2/49 =
  15. 15.2/29 =
  16. 16.9/59 =
  17. 17.7/29 =
  18. 18.8/39 =
  19. 19.2/19 =
  20. 20.9/19 =
  21. 21.2/29 =
  22. 22.9/39 =
  23. 23.3/59 =
  24. 24.6/29 =
  25. 25.7/39 =
  26. 26.5/29 =
  27. 27.6/39 =
  28. 28.4/49 =
  29. 29.9/49 =
  30. 30.8/29 =
  31. 31.2/49 =
  32. 32.2/29 =
  33. 33.8/39 =
  34. 34.4/49 =
  35. 35.2/39 =
  36. 36.9/59 =
  37. 37.8/39 =
  38. 38.2/49 =
  39. 39.4/19 =
  40. 40.7/39 =

Answer key

  1. 0.033898
  2. 0.172413
  3. 0.210526
  4. 0.421052
  5. 0.051282
  6. 0.210526
  7. 0.084745
  8. 0.122448
  9. 0.105263
  10. 0.152542
  11. 0.241379
  12. 0.241379
  13. 0.310344
  14. 0.040816
  15. 0.068965
  16. 0.152542
  17. 0.241379
  18. 0.205128
  19. 0.105263
  20. 0.473684
  21. 0.068965
  22. 0.230769
  23. 0.050847
  24. 0.206896
  25. 0.179487
  26. 0.172413
  27. 0.153846
  28. 0.081632
  29. 0.183673
  30. 0.275862
  31. 0.040816
  32. 0.068965
  33. 0.205128
  34. 0.081632
  35. 0.051282
  36. 0.152542
  37. 0.205128
  38. 0.040816
  39. 0.210526
  40. 0.179487

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