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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 487 · 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. 1.6/59 =
  2. 2.7/39 =
  3. 3.9/29 =
  4. 4.2/49 =
  5. 5.1/19 =
  6. 6.5/39 =
  7. 7.5/19 =
  8. 8.3/29 =
  9. 9.1/19 =
  10. 10.4/39 =
  11. 11.1/29 =
  12. 12.4/19 =
  13. 13.8/19 =
  14. 14.4/19 =
  15. 15.3/59 =
  16. 16.9/19 =
  17. 17.7/29 =
  18. 18.2/29 =
  19. 19.1/19 =
  20. 20.4/19 =
  21. 21.8/49 =
  22. 22.6/19 =
  23. 23.3/49 =
  24. 24.2/59 =
  25. 25.1/29 =
  26. 26.2/19 =
  27. 27.6/29 =
  28. 28.2/29 =
  29. 29.1/19 =
  30. 30.3/59 =
  31. 31.9/29 =
  32. 32.1/19 =
  33. 33.8/59 =
  34. 34.1/29 =
  35. 35.1/49 =
  36. 36.3/39 =
  37. 37.8/59 =
  38. 38.9/39 =
  39. 39.3/29 =
  40. 40.8/49 =

Answer key

  1. 0.101694
  2. 0.179487
  3. 0.310344
  4. 0.040816
  5. 0.052631
  6. 0.128205
  7. 0.263157
  8. 0.103448
  9. 0.052631
  10. 0.102564
  11. 0.034482
  12. 0.210526
  13. 0.421052
  14. 0.210526
  15. 0.050847
  16. 0.473684
  17. 0.241379
  18. 0.068965
  19. 0.052631
  20. 0.210526
  21. 0.163265
  22. 0.315789
  23. 0.061224
  24. 0.033898
  25. 0.034482
  26. 0.105263
  27. 0.206896
  28. 0.068965
  29. 0.052631
  30. 0.050847
  31. 0.310344
  32. 0.052631
  33. 0.135593
  34. 0.034482
  35. 0.020408
  36. 0.076923
  37. 0.135593
  38. 0.230769
  39. 0.103448
  40. 0.163265

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