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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 200 · 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. 1.7/19 =
  2. 2.3/29 =
  3. 3.3/49 =
  4. 4.7/19 =
  5. 5.6/49 =
  6. 6.8/39 =
  7. 7.1/39 =
  8. 8.9/19 =
  9. 9.9/29 =
  10. 10.1/39 =
  11. 11.6/19 =
  12. 12.9/49 =
  13. 13.9/49 =
  14. 14.3/19 =
  15. 15.7/19 =
  16. 16.3/19 =
  17. 17.7/59 =
  18. 18.3/19 =
  19. 19.5/29 =
  20. 20.2/19 =
  21. 21.8/49 =
  22. 22.4/39 =
  23. 23.1/59 =
  24. 24.8/19 =
  25. 25.6/59 =
  26. 26.8/39 =
  27. 27.3/19 =
  28. 28.8/39 =
  29. 29.7/49 =
  30. 30.9/19 =
  31. 31.4/49 =
  32. 32.5/39 =
  33. 33.3/29 =
  34. 34.7/39 =
  35. 35.5/39 =
  36. 36.4/29 =
  37. 37.3/19 =
  38. 38.3/59 =
  39. 39.9/29 =
  40. 40.6/39 =

Answer key

  1. 0.368421
  2. 0.103448
  3. 0.061224
  4. 0.368421
  5. 0.122448
  6. 0.205128
  7. 0.025641
  8. 0.473684
  9. 0.310344
  10. 0.025641
  11. 0.315789
  12. 0.183673
  13. 0.183673
  14. 0.157894
  15. 0.368421
  16. 0.157894
  17. 0.118644
  18. 0.157894
  19. 0.172413
  20. 0.105263
  21. 0.163265
  22. 0.102564
  23. 0.016949
  24. 0.421052
  25. 0.101694
  26. 0.205128
  27. 0.157894
  28. 0.205128
  29. 0.142857
  30. 0.473684
  31. 0.081632
  32. 0.128205
  33. 0.103448
  34. 0.179487
  35. 0.128205
  36. 0.137931
  37. 0.157894
  38. 0.050847
  39. 0.310344
  40. 0.153846

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