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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 938 · 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. 1.2/19 =
  2. 2.4/39 =
  3. 3.9/39 =
  4. 4.1/29 =
  5. 5.3/29 =
  6. 6.4/19 =
  7. 7.1/29 =
  8. 8.5/39 =
  9. 9.5/19 =
  10. 10.1/19 =
  11. 11.4/39 =
  12. 12.5/19 =
  13. 13.3/59 =
  14. 14.9/59 =
  15. 15.5/49 =
  16. 16.2/19 =
  17. 17.5/19 =
  18. 18.4/59 =
  19. 19.8/39 =
  20. 20.5/19 =
  21. 21.8/19 =
  22. 22.7/49 =
  23. 23.5/59 =
  24. 24.2/39 =
  25. 25.4/59 =
  26. 26.3/59 =
  27. 27.5/29 =
  28. 28.2/39 =
  29. 29.1/59 =
  30. 30.2/39 =
  31. 31.2/29 =
  32. 32.9/29 =
  33. 33.7/39 =
  34. 34.4/29 =
  35. 35.8/19 =
  36. 36.8/49 =
  37. 37.1/49 =
  38. 38.7/19 =
  39. 39.7/39 =
  40. 40.1/19 =

Answer key

  1. 0.105263
  2. 0.102564
  3. 0.230769
  4. 0.034482
  5. 0.103448
  6. 0.210526
  7. 0.034482
  8. 0.128205
  9. 0.263157
  10. 0.052631
  11. 0.102564
  12. 0.263157
  13. 0.050847
  14. 0.152542
  15. 0.102040
  16. 0.105263
  17. 0.263157
  18. 0.067796
  19. 0.205128
  20. 0.263157
  21. 0.421052
  22. 0.142857
  23. 0.084745
  24. 0.051282
  25. 0.067796
  26. 0.050847
  27. 0.172413
  28. 0.051282
  29. 0.016949
  30. 0.051282
  31. 0.068965
  32. 0.310344
  33. 0.179487
  34. 0.137931
  35. 0.421052
  36. 0.163265
  37. 0.020408
  38. 0.368421
  39. 0.179487
  40. 0.052631

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