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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 370 · 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. 1.9/29 =
  2. 2.8/59 =
  3. 3.4/49 =
  4. 4.8/49 =
  5. 5.3/29 =
  6. 6.4/29 =
  7. 7.3/19 =
  8. 8.3/39 =
  9. 9.2/29 =
  10. 10.1/19 =
  11. 11.2/29 =
  12. 12.8/29 =
  13. 13.4/39 =
  14. 14.5/59 =
  15. 15.1/29 =
  16. 16.9/59 =
  17. 17.2/19 =
  18. 18.3/29 =
  19. 19.2/49 =
  20. 20.9/29 =
  21. 21.9/49 =
  22. 22.1/39 =
  23. 23.5/49 =
  24. 24.2/19 =
  25. 25.6/29 =
  26. 26.1/39 =
  27. 27.4/49 =
  28. 28.2/49 =
  29. 29.4/39 =
  30. 30.3/49 =
  31. 31.5/39 =
  32. 32.1/39 =
  33. 33.7/49 =
  34. 34.8/59 =
  35. 35.9/59 =
  36. 36.4/29 =
  37. 37.4/39 =
  38. 38.3/59 =
  39. 39.8/39 =
  40. 40.8/19 =

Answer key

  1. 0.310344
  2. 0.135593
  3. 0.081632
  4. 0.163265
  5. 0.103448
  6. 0.137931
  7. 0.157894
  8. 0.076923
  9. 0.068965
  10. 0.052631
  11. 0.068965
  12. 0.275862
  13. 0.102564
  14. 0.084745
  15. 0.034482
  16. 0.152542
  17. 0.105263
  18. 0.103448
  19. 0.040816
  20. 0.310344
  21. 0.183673
  22. 0.025641
  23. 0.102040
  24. 0.105263
  25. 0.206896
  26. 0.025641
  27. 0.081632
  28. 0.040816
  29. 0.102564
  30. 0.061224
  31. 0.128205
  32. 0.025641
  33. 0.142857
  34. 0.135593
  35. 0.152542
  36. 0.137931
  37. 0.102564
  38. 0.050847
  39. 0.205128
  40. 0.421052

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