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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 557 · 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. 2.2/19 =
  3. 3.5/19 =
  4. 4.1/59 =
  5. 5.4/29 =
  6. 6.9/39 =
  7. 7.8/39 =
  8. 8.5/29 =
  9. 9.8/49 =
  10. 10.4/19 =
  11. 11.5/39 =
  12. 12.3/29 =
  13. 13.6/19 =
  14. 14.9/39 =
  15. 15.6/29 =
  16. 16.6/19 =
  17. 17.8/29 =
  18. 18.1/39 =
  19. 19.6/29 =
  20. 20.7/29 =
  21. 21.6/19 =
  22. 22.8/49 =
  23. 23.3/39 =
  24. 24.7/19 =
  25. 25.5/19 =
  26. 26.1/19 =
  27. 27.7/39 =
  28. 28.7/19 =
  29. 29.5/29 =
  30. 30.1/29 =
  31. 31.3/39 =
  32. 32.1/19 =
  33. 33.9/59 =
  34. 34.7/59 =
  35. 35.1/29 =
  36. 36.4/29 =
  37. 37.4/19 =
  38. 38.6/29 =
  39. 39.2/39 =
  40. 40.4/49 =

Answer key

  1. 0.040816
  2. 0.105263
  3. 0.263157
  4. 0.016949
  5. 0.137931
  6. 0.230769
  7. 0.205128
  8. 0.172413
  9. 0.163265
  10. 0.210526
  11. 0.128205
  12. 0.103448
  13. 0.315789
  14. 0.230769
  15. 0.206896
  16. 0.315789
  17. 0.275862
  18. 0.025641
  19. 0.206896
  20. 0.241379
  21. 0.315789
  22. 0.163265
  23. 0.076923
  24. 0.368421
  25. 0.263157
  26. 0.052631
  27. 0.179487
  28. 0.368421
  29. 0.172413
  30. 0.034482
  31. 0.076923
  32. 0.052631
  33. 0.152542
  34. 0.118644
  35. 0.034482
  36. 0.137931
  37. 0.210526
  38. 0.206896
  39. 0.051282
  40. 0.081632

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