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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 53 · 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. 2.5/39 =
  3. 3.3/59 =
  4. 4.8/29 =
  5. 5.5/59 =
  6. 6.1/29 =
  7. 7.2/29 =
  8. 8.3/19 =
  9. 9.8/39 =
  10. 10.1/49 =
  11. 11.6/19 =
  12. 12.4/39 =
  13. 13.1/29 =
  14. 14.2/49 =
  15. 15.5/39 =
  16. 16.1/29 =
  17. 17.3/49 =
  18. 18.6/59 =
  19. 19.8/59 =
  20. 20.3/29 =
  21. 21.9/19 =
  22. 22.3/19 =
  23. 23.8/59 =
  24. 24.1/59 =
  25. 25.4/49 =
  26. 26.7/49 =
  27. 27.1/49 =
  28. 28.2/29 =
  29. 29.5/59 =
  30. 30.9/59 =
  31. 31.1/29 =
  32. 32.3/49 =
  33. 33.4/29 =
  34. 34.1/39 =
  35. 35.3/19 =
  36. 36.6/39 =
  37. 37.1/29 =
  38. 38.8/19 =
  39. 39.6/59 =
  40. 40.4/19 =

Answer key

  1. 0.020408
  2. 0.128205
  3. 0.050847
  4. 0.275862
  5. 0.084745
  6. 0.034482
  7. 0.068965
  8. 0.157894
  9. 0.205128
  10. 0.020408
  11. 0.315789
  12. 0.102564
  13. 0.034482
  14. 0.040816
  15. 0.128205
  16. 0.034482
  17. 0.061224
  18. 0.101694
  19. 0.135593
  20. 0.103448
  21. 0.473684
  22. 0.157894
  23. 0.135593
  24. 0.016949
  25. 0.081632
  26. 0.142857
  27. 0.020408
  28. 0.068965
  29. 0.084745
  30. 0.152542
  31. 0.034482
  32. 0.061224
  33. 0.137931
  34. 0.025641
  35. 0.157894
  36. 0.153846
  37. 0.034482
  38. 0.421052
  39. 0.101694
  40. 0.210526

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