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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 599 · 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. 1.2/29 =
  2. 2.8/39 =
  3. 3.9/29 =
  4. 4.1/19 =
  5. 5.6/29 =
  6. 6.2/49 =
  7. 7.7/19 =
  8. 8.7/59 =
  9. 9.6/29 =
  10. 10.7/39 =
  11. 11.5/59 =
  12. 12.4/19 =
  13. 13.8/49 =
  14. 14.9/29 =
  15. 15.6/29 =
  16. 16.6/49 =
  17. 17.1/19 =
  18. 18.7/19 =
  19. 19.2/19 =
  20. 20.3/39 =
  21. 21.3/29 =
  22. 22.2/39 =
  23. 23.8/49 =
  24. 24.4/49 =
  25. 25.7/59 =
  26. 26.5/19 =
  27. 27.8/29 =
  28. 28.9/19 =
  29. 29.5/19 =
  30. 30.4/49 =
  31. 31.4/29 =
  32. 32.7/59 =
  33. 33.6/19 =
  34. 34.7/19 =
  35. 35.1/29 =
  36. 36.6/49 =
  37. 37.6/49 =
  38. 38.7/29 =
  39. 39.8/19 =
  40. 40.8/39 =

Answer key

  1. 0.068965
  2. 0.205128
  3. 0.310344
  4. 0.052631
  5. 0.206896
  6. 0.040816
  7. 0.368421
  8. 0.118644
  9. 0.206896
  10. 0.179487
  11. 0.084745
  12. 0.210526
  13. 0.163265
  14. 0.310344
  15. 0.206896
  16. 0.122448
  17. 0.052631
  18. 0.368421
  19. 0.105263
  20. 0.076923
  21. 0.103448
  22. 0.051282
  23. 0.163265
  24. 0.081632
  25. 0.118644
  26. 0.263157
  27. 0.275862
  28. 0.473684
  29. 0.263157
  30. 0.081632
  31. 0.137931
  32. 0.118644
  33. 0.315789
  34. 0.368421
  35. 0.034482
  36. 0.122448
  37. 0.122448
  38. 0.241379
  39. 0.421052
  40. 0.205128

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