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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 617 · 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. 1.7/39 =
  2. 2.6/19 =
  3. 3.9/29 =
  4. 4.8/59 =
  5. 5.5/49 =
  6. 6.2/49 =
  7. 7.2/19 =
  8. 8.3/29 =
  9. 9.6/29 =
  10. 10.4/59 =
  11. 11.7/29 =
  12. 12.7/19 =
  13. 13.3/29 =
  14. 14.8/29 =
  15. 15.7/19 =
  16. 16.1/39 =
  17. 17.7/59 =
  18. 18.8/39 =
  19. 19.9/29 =
  20. 20.4/29 =
  21. 21.8/59 =
  22. 22.4/59 =
  23. 23.6/29 =
  24. 24.3/49 =
  25. 25.1/39 =
  26. 26.7/19 =
  27. 27.7/59 =
  28. 28.1/19 =
  29. 29.4/49 =
  30. 30.8/59 =
  31. 31.5/49 =
  32. 32.1/19 =
  33. 33.3/49 =
  34. 34.8/29 =
  35. 35.7/59 =
  36. 36.9/49 =
  37. 37.2/29 =
  38. 38.2/49 =
  39. 39.8/49 =
  40. 40.8/19 =

Answer key

  1. 0.179487
  2. 0.315789
  3. 0.310344
  4. 0.135593
  5. 0.102040
  6. 0.040816
  7. 0.105263
  8. 0.103448
  9. 0.206896
  10. 0.067796
  11. 0.241379
  12. 0.368421
  13. 0.103448
  14. 0.275862
  15. 0.368421
  16. 0.025641
  17. 0.118644
  18. 0.205128
  19. 0.310344
  20. 0.137931
  21. 0.135593
  22. 0.067796
  23. 0.206896
  24. 0.061224
  25. 0.025641
  26. 0.368421
  27. 0.118644
  28. 0.052631
  29. 0.081632
  30. 0.135593
  31. 0.102040
  32. 0.052631
  33. 0.061224
  34. 0.275862
  35. 0.118644
  36. 0.183673
  37. 0.068965
  38. 0.040816
  39. 0.163265
  40. 0.421052

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