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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 414 · 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. 1.4/49 =
  2. 2.4/39 =
  3. 3.1/29 =
  4. 4.2/59 =
  5. 5.4/59 =
  6. 6.9/59 =
  7. 7.5/29 =
  8. 8.7/59 =
  9. 9.2/19 =
  10. 10.2/49 =
  11. 11.6/29 =
  12. 12.8/49 =
  13. 13.8/39 =
  14. 14.3/49 =
  15. 15.2/39 =
  16. 16.8/49 =
  17. 17.5/39 =
  18. 18.6/59 =
  19. 19.8/39 =
  20. 20.4/29 =
  21. 21.7/19 =
  22. 22.2/29 =
  23. 23.9/39 =
  24. 24.4/59 =
  25. 25.3/29 =
  26. 26.2/39 =
  27. 27.1/59 =
  28. 28.5/29 =
  29. 29.2/49 =
  30. 30.6/19 =
  31. 31.7/19 =
  32. 32.9/39 =
  33. 33.4/49 =
  34. 34.2/39 =
  35. 35.3/39 =
  36. 36.9/39 =
  37. 37.7/19 =
  38. 38.9/59 =
  39. 39.7/49 =
  40. 40.4/49 =

Answer key

  1. 0.081632
  2. 0.102564
  3. 0.034482
  4. 0.033898
  5. 0.067796
  6. 0.152542
  7. 0.172413
  8. 0.118644
  9. 0.105263
  10. 0.040816
  11. 0.206896
  12. 0.163265
  13. 0.205128
  14. 0.061224
  15. 0.051282
  16. 0.163265
  17. 0.128205
  18. 0.101694
  19. 0.205128
  20. 0.137931
  21. 0.368421
  22. 0.068965
  23. 0.230769
  24. 0.067796
  25. 0.103448
  26. 0.051282
  27. 0.016949
  28. 0.172413
  29. 0.040816
  30. 0.315789
  31. 0.368421
  32. 0.230769
  33. 0.081632
  34. 0.051282
  35. 0.076923
  36. 0.230769
  37. 0.368421
  38. 0.152542
  39. 0.142857
  40. 0.081632

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