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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 272 · 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. 1.1/49 =
  2. 2.6/29 =
  3. 3.1/59 =
  4. 4.7/19 =
  5. 5.7/29 =
  6. 6.4/39 =
  7. 7.8/19 =
  8. 8.4/49 =
  9. 9.5/39 =
  10. 10.9/29 =
  11. 11.7/59 =
  12. 12.7/39 =
  13. 13.5/49 =
  14. 14.5/19 =
  15. 15.9/49 =
  16. 16.3/19 =
  17. 17.3/59 =
  18. 18.4/39 =
  19. 19.8/29 =
  20. 20.5/59 =
  21. 21.7/19 =
  22. 22.8/39 =
  23. 23.1/29 =
  24. 24.2/19 =
  25. 25.9/29 =
  26. 26.2/19 =
  27. 27.3/29 =
  28. 28.9/29 =
  29. 29.7/29 =
  30. 30.2/19 =
  31. 31.2/29 =
  32. 32.8/29 =
  33. 33.9/29 =
  34. 34.2/59 =
  35. 35.5/59 =
  36. 36.9/39 =
  37. 37.4/29 =
  38. 38.6/29 =
  39. 39.7/59 =
  40. 40.3/39 =

Answer key

  1. 0.020408
  2. 0.206896
  3. 0.016949
  4. 0.368421
  5. 0.241379
  6. 0.102564
  7. 0.421052
  8. 0.081632
  9. 0.128205
  10. 0.310344
  11. 0.118644
  12. 0.179487
  13. 0.102040
  14. 0.263157
  15. 0.183673
  16. 0.157894
  17. 0.050847
  18. 0.102564
  19. 0.275862
  20. 0.084745
  21. 0.368421
  22. 0.205128
  23. 0.034482
  24. 0.105263
  25. 0.310344
  26. 0.105263
  27. 0.103448
  28. 0.310344
  29. 0.241379
  30. 0.105263
  31. 0.068965
  32. 0.275862
  33. 0.310344
  34. 0.033898
  35. 0.084745
  36. 0.230769
  37. 0.137931
  38. 0.206896
  39. 0.118644
  40. 0.076923

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