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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 337 · 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. 1.2/19 =
  2. 2.4/29 =
  3. 3.5/39 =
  4. 4.2/29 =
  5. 5.8/39 =
  6. 6.2/39 =
  7. 7.5/59 =
  8. 8.3/59 =
  9. 9.6/19 =
  10. 10.1/49 =
  11. 11.2/59 =
  12. 12.5/19 =
  13. 13.4/29 =
  14. 14.7/29 =
  15. 15.3/29 =
  16. 16.8/29 =
  17. 17.3/19 =
  18. 18.8/19 =
  19. 19.2/19 =
  20. 20.5/39 =
  21. 21.2/29 =
  22. 22.1/49 =
  23. 23.1/39 =
  24. 24.6/39 =
  25. 25.1/29 =
  26. 26.7/49 =
  27. 27.8/39 =
  28. 28.7/29 =
  29. 29.1/39 =
  30. 30.1/49 =
  31. 31.4/39 =
  32. 32.3/19 =
  33. 33.7/39 =
  34. 34.1/19 =
  35. 35.1/19 =
  36. 36.7/49 =
  37. 37.3/29 =
  38. 38.6/39 =
  39. 39.4/59 =
  40. 40.1/49 =

Answer key

  1. 0.105263
  2. 0.137931
  3. 0.128205
  4. 0.068965
  5. 0.205128
  6. 0.051282
  7. 0.084745
  8. 0.050847
  9. 0.315789
  10. 0.020408
  11. 0.033898
  12. 0.263157
  13. 0.137931
  14. 0.241379
  15. 0.103448
  16. 0.275862
  17. 0.157894
  18. 0.421052
  19. 0.105263
  20. 0.128205
  21. 0.068965
  22. 0.020408
  23. 0.025641
  24. 0.153846
  25. 0.034482
  26. 0.142857
  27. 0.205128
  28. 0.241379
  29. 0.025641
  30. 0.020408
  31. 0.102564
  32. 0.157894
  33. 0.179487
  34. 0.052631
  35. 0.052631
  36. 0.142857
  37. 0.103448
  38. 0.153846
  39. 0.067796
  40. 0.020408

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