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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 51 · 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. 1.1/49 =
  2. 2.3/29 =
  3. 3.9/59 =
  4. 4.4/59 =
  5. 5.8/39 =
  6. 6.6/39 =
  7. 7.1/19 =
  8. 8.1/29 =
  9. 9.8/49 =
  10. 10.9/39 =
  11. 11.6/19 =
  12. 12.9/19 =
  13. 13.5/29 =
  14. 14.1/19 =
  15. 15.7/49 =
  16. 16.6/19 =
  17. 17.9/49 =
  18. 18.1/59 =
  19. 19.6/39 =
  20. 20.9/59 =
  21. 21.9/19 =
  22. 22.4/49 =
  23. 23.3/39 =
  24. 24.9/19 =
  25. 25.2/59 =
  26. 26.7/59 =
  27. 27.8/19 =
  28. 28.1/19 =
  29. 29.1/29 =
  30. 30.7/59 =
  31. 31.1/19 =
  32. 32.6/29 =
  33. 33.3/59 =
  34. 34.3/39 =
  35. 35.5/19 =
  36. 36.2/19 =
  37. 37.6/59 =
  38. 38.3/19 =
  39. 39.8/19 =
  40. 40.2/59 =

Answer key

  1. 0.020408
  2. 0.103448
  3. 0.152542
  4. 0.067796
  5. 0.205128
  6. 0.153846
  7. 0.052631
  8. 0.034482
  9. 0.163265
  10. 0.230769
  11. 0.315789
  12. 0.473684
  13. 0.172413
  14. 0.052631
  15. 0.142857
  16. 0.315789
  17. 0.183673
  18. 0.016949
  19. 0.153846
  20. 0.152542
  21. 0.473684
  22. 0.081632
  23. 0.076923
  24. 0.473684
  25. 0.033898
  26. 0.118644
  27. 0.421052
  28. 0.052631
  29. 0.034482
  30. 0.118644
  31. 0.052631
  32. 0.206896
  33. 0.050847
  34. 0.076923
  35. 0.263157
  36. 0.105263
  37. 0.101694
  38. 0.157894
  39. 0.421052
  40. 0.033898

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