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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 419 · 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. 1.8/39 =
  2. 2.2/49 =
  3. 3.8/29 =
  4. 4.6/39 =
  5. 5.7/39 =
  6. 6.9/29 =
  7. 7.5/49 =
  8. 8.1/19 =
  9. 9.1/19 =
  10. 10.1/49 =
  11. 11.6/39 =
  12. 12.9/59 =
  13. 13.5/29 =
  14. 14.8/39 =
  15. 15.3/29 =
  16. 16.5/59 =
  17. 17.9/59 =
  18. 18.7/49 =
  19. 19.1/29 =
  20. 20.6/39 =
  21. 21.1/49 =
  22. 22.2/19 =
  23. 23.8/59 =
  24. 24.2/29 =
  25. 25.8/59 =
  26. 26.4/29 =
  27. 27.8/49 =
  28. 28.3/59 =
  29. 29.4/29 =
  30. 30.6/49 =
  31. 31.1/39 =
  32. 32.2/19 =
  33. 33.9/39 =
  34. 34.9/19 =
  35. 35.8/49 =
  36. 36.7/39 =
  37. 37.5/59 =
  38. 38.2/19 =
  39. 39.2/29 =
  40. 40.4/29 =

Answer key

  1. 0.205128
  2. 0.040816
  3. 0.275862
  4. 0.153846
  5. 0.179487
  6. 0.310344
  7. 0.102040
  8. 0.052631
  9. 0.052631
  10. 0.020408
  11. 0.153846
  12. 0.152542
  13. 0.172413
  14. 0.205128
  15. 0.103448
  16. 0.084745
  17. 0.152542
  18. 0.142857
  19. 0.034482
  20. 0.153846
  21. 0.020408
  22. 0.105263
  23. 0.135593
  24. 0.068965
  25. 0.135593
  26. 0.137931
  27. 0.163265
  28. 0.050847
  29. 0.137931
  30. 0.122448
  31. 0.025641
  32. 0.105263
  33. 0.230769
  34. 0.473684
  35. 0.163265
  36. 0.179487
  37. 0.084745
  38. 0.105263
  39. 0.068965
  40. 0.137931

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