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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 647 · 40 sums
TalentJR

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. 1.2/29 =
  2. 2.4/59 =
  3. 3.2/49 =
  4. 4.3/29 =
  5. 5.9/29 =
  6. 6.3/59 =
  7. 7.2/19 =
  8. 8.4/19 =
  9. 9.2/49 =
  10. 10.2/59 =
  11. 11.6/29 =
  12. 12.1/29 =
  13. 13.2/59 =
  14. 14.9/49 =
  15. 15.3/29 =
  16. 16.2/49 =
  17. 17.9/39 =
  18. 18.9/49 =
  19. 19.3/59 =
  20. 20.5/59 =
  21. 21.8/39 =
  22. 22.4/39 =
  23. 23.5/39 =
  24. 24.9/29 =
  25. 25.7/19 =
  26. 26.8/59 =
  27. 27.8/39 =
  28. 28.1/29 =
  29. 29.5/19 =
  30. 30.2/39 =
  31. 31.5/29 =
  32. 32.6/49 =
  33. 33.1/29 =
  34. 34.9/39 =
  35. 35.9/29 =
  36. 36.6/19 =
  37. 37.5/49 =
  38. 38.9/29 =
  39. 39.6/49 =
  40. 40.5/19 =

Answer key

  1. 0.068965
  2. 0.067796
  3. 0.040816
  4. 0.103448
  5. 0.310344
  6. 0.050847
  7. 0.105263
  8. 0.210526
  9. 0.040816
  10. 0.033898
  11. 0.206896
  12. 0.034482
  13. 0.033898
  14. 0.183673
  15. 0.103448
  16. 0.040816
  17. 0.230769
  18. 0.183673
  19. 0.050847
  20. 0.084745
  21. 0.205128
  22. 0.102564
  23. 0.128205
  24. 0.310344
  25. 0.368421
  26. 0.135593
  27. 0.205128
  28. 0.034482
  29. 0.263157
  30. 0.051282
  31. 0.172413
  32. 0.122448
  33. 0.034482
  34. 0.230769
  35. 0.310344
  36. 0.315789
  37. 0.102040
  38. 0.310344
  39. 0.122448
  40. 0.263157

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