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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 307 · 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. 1.1/29 =
  2. 2.1/49 =
  3. 3.9/29 =
  4. 4.3/29 =
  5. 5.3/19 =
  6. 6.2/29 =
  7. 7.6/29 =
  8. 8.6/39 =
  9. 9.1/19 =
  10. 10.9/39 =
  11. 11.4/19 =
  12. 12.4/19 =
  13. 13.2/39 =
  14. 14.1/29 =
  15. 15.7/59 =
  16. 16.7/49 =
  17. 17.1/29 =
  18. 18.7/19 =
  19. 19.2/29 =
  20. 20.9/19 =
  21. 21.7/29 =
  22. 22.2/19 =
  23. 23.8/49 =
  24. 24.8/29 =
  25. 25.1/39 =
  26. 26.3/19 =
  27. 27.7/19 =
  28. 28.7/59 =
  29. 29.4/19 =
  30. 30.9/59 =
  31. 31.5/39 =
  32. 32.3/29 =
  33. 33.4/39 =
  34. 34.6/39 =
  35. 35.5/59 =
  36. 36.3/39 =
  37. 37.3/39 =
  38. 38.3/59 =
  39. 39.2/39 =
  40. 40.7/59 =

Answer key

  1. 0.034482
  2. 0.020408
  3. 0.310344
  4. 0.103448
  5. 0.157894
  6. 0.068965
  7. 0.206896
  8. 0.153846
  9. 0.052631
  10. 0.230769
  11. 0.210526
  12. 0.210526
  13. 0.051282
  14. 0.034482
  15. 0.118644
  16. 0.142857
  17. 0.034482
  18. 0.368421
  19. 0.068965
  20. 0.473684
  21. 0.241379
  22. 0.105263
  23. 0.163265
  24. 0.275862
  25. 0.025641
  26. 0.157894
  27. 0.368421
  28. 0.118644
  29. 0.210526
  30. 0.152542
  31. 0.128205
  32. 0.103448
  33. 0.102564
  34. 0.153846
  35. 0.084745
  36. 0.076923
  37. 0.076923
  38. 0.050847
  39. 0.051282
  40. 0.118644

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