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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 762 · 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. 1.6/49 =
  2. 2.4/49 =
  3. 3.8/49 =
  4. 4.6/29 =
  5. 5.1/39 =
  6. 6.9/29 =
  7. 7.5/39 =
  8. 8.6/19 =
  9. 9.6/49 =
  10. 10.1/39 =
  11. 11.4/59 =
  12. 12.7/49 =
  13. 13.5/39 =
  14. 14.5/19 =
  15. 15.7/59 =
  16. 16.5/59 =
  17. 17.2/19 =
  18. 18.8/59 =
  19. 19.7/19 =
  20. 20.6/59 =
  21. 21.9/19 =
  22. 22.5/59 =
  23. 23.3/59 =
  24. 24.3/39 =
  25. 25.3/39 =
  26. 26.6/59 =
  27. 27.2/49 =
  28. 28.3/29 =
  29. 29.8/49 =
  30. 30.5/29 =
  31. 31.8/59 =
  32. 32.2/49 =
  33. 33.7/29 =
  34. 34.1/49 =
  35. 35.9/19 =
  36. 36.9/29 =
  37. 37.2/39 =
  38. 38.1/49 =
  39. 39.9/59 =
  40. 40.4/29 =

Answer key

  1. 0.122448
  2. 0.081632
  3. 0.163265
  4. 0.206896
  5. 0.025641
  6. 0.310344
  7. 0.128205
  8. 0.315789
  9. 0.122448
  10. 0.025641
  11. 0.067796
  12. 0.142857
  13. 0.128205
  14. 0.263157
  15. 0.118644
  16. 0.084745
  17. 0.105263
  18. 0.135593
  19. 0.368421
  20. 0.101694
  21. 0.473684
  22. 0.084745
  23. 0.050847
  24. 0.076923
  25. 0.076923
  26. 0.101694
  27. 0.040816
  28. 0.103448
  29. 0.163265
  30. 0.172413
  31. 0.135593
  32. 0.040816
  33. 0.241379
  34. 0.020408
  35. 0.473684
  36. 0.310344
  37. 0.051282
  38. 0.020408
  39. 0.152542
  40. 0.137931

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