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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 513 · 40 sums
TalentJR

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. 1.1/19 =
  2. 2.9/19 =
  3. 3.7/19 =
  4. 4.5/39 =
  5. 5.5/49 =
  6. 6.2/39 =
  7. 7.2/59 =
  8. 8.7/19 =
  9. 9.1/29 =
  10. 10.8/29 =
  11. 11.5/39 =
  12. 12.1/29 =
  13. 13.9/59 =
  14. 14.2/19 =
  15. 15.7/39 =
  16. 16.9/49 =
  17. 17.9/39 =
  18. 18.8/39 =
  19. 19.6/19 =
  20. 20.8/59 =
  21. 21.1/29 =
  22. 22.3/19 =
  23. 23.4/29 =
  24. 24.4/39 =
  25. 25.6/59 =
  26. 26.7/59 =
  27. 27.2/39 =
  28. 28.9/59 =
  29. 29.9/29 =
  30. 30.1/39 =
  31. 31.9/59 =
  32. 32.5/49 =
  33. 33.2/19 =
  34. 34.4/49 =
  35. 35.7/19 =
  36. 36.2/29 =
  37. 37.3/59 =
  38. 38.5/19 =
  39. 39.5/19 =
  40. 40.5/39 =

Answer key

  1. 0.052631
  2. 0.473684
  3. 0.368421
  4. 0.128205
  5. 0.102040
  6. 0.051282
  7. 0.033898
  8. 0.368421
  9. 0.034482
  10. 0.275862
  11. 0.128205
  12. 0.034482
  13. 0.152542
  14. 0.105263
  15. 0.179487
  16. 0.183673
  17. 0.230769
  18. 0.205128
  19. 0.315789
  20. 0.135593
  21. 0.034482
  22. 0.157894
  23. 0.137931
  24. 0.102564
  25. 0.101694
  26. 0.118644
  27. 0.051282
  28. 0.152542
  29. 0.310344
  30. 0.025641
  31. 0.152542
  32. 0.102040
  33. 0.105263
  34. 0.081632
  35. 0.368421
  36. 0.068965
  37. 0.050847
  38. 0.263157
  39. 0.263157
  40. 0.128205

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