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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 791 · 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. 1.2/49 =
  2. 2.1/19 =
  3. 3.8/29 =
  4. 4.3/19 =
  5. 5.5/19 =
  6. 6.2/39 =
  7. 7.2/49 =
  8. 8.1/19 =
  9. 9.8/29 =
  10. 10.5/49 =
  11. 11.2/29 =
  12. 12.2/19 =
  13. 13.3/59 =
  14. 14.6/19 =
  15. 15.3/39 =
  16. 16.9/29 =
  17. 17.4/39 =
  18. 18.7/29 =
  19. 19.9/59 =
  20. 20.8/19 =
  21. 21.3/29 =
  22. 22.4/29 =
  23. 23.7/49 =
  24. 24.3/29 =
  25. 25.4/19 =
  26. 26.1/29 =
  27. 27.3/39 =
  28. 28.2/19 =
  29. 29.5/29 =
  30. 30.8/19 =
  31. 31.2/29 =
  32. 32.8/49 =
  33. 33.9/39 =
  34. 34.9/29 =
  35. 35.2/29 =
  36. 36.5/49 =
  37. 37.4/29 =
  38. 38.8/19 =
  39. 39.4/39 =
  40. 40.8/29 =

Answer key

  1. 0.040816
  2. 0.052631
  3. 0.275862
  4. 0.157894
  5. 0.263157
  6. 0.051282
  7. 0.040816
  8. 0.052631
  9. 0.275862
  10. 0.102040
  11. 0.068965
  12. 0.105263
  13. 0.050847
  14. 0.315789
  15. 0.076923
  16. 0.310344
  17. 0.102564
  18. 0.241379
  19. 0.152542
  20. 0.421052
  21. 0.103448
  22. 0.137931
  23. 0.142857
  24. 0.103448
  25. 0.210526
  26. 0.034482
  27. 0.076923
  28. 0.105263
  29. 0.172413
  30. 0.421052
  31. 0.068965
  32. 0.163265
  33. 0.230769
  34. 0.310344
  35. 0.068965
  36. 0.102040
  37. 0.137931
  38. 0.421052
  39. 0.102564
  40. 0.275862

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