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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 716 · 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. 1.7/39 =
  2. 2.6/19 =
  3. 3.9/29 =
  4. 4.4/59 =
  5. 5.9/19 =
  6. 6.8/29 =
  7. 7.4/49 =
  8. 8.1/19 =
  9. 9.2/19 =
  10. 10.3/19 =
  11. 11.4/19 =
  12. 12.3/59 =
  13. 13.4/39 =
  14. 14.7/59 =
  15. 15.6/49 =
  16. 16.2/29 =
  17. 17.4/59 =
  18. 18.2/59 =
  19. 19.3/29 =
  20. 20.1/39 =
  21. 21.5/59 =
  22. 22.3/29 =
  23. 23.4/29 =
  24. 24.9/19 =
  25. 25.6/39 =
  26. 26.5/59 =
  27. 27.6/29 =
  28. 28.1/49 =
  29. 29.8/39 =
  30. 30.5/19 =
  31. 31.4/49 =
  32. 32.4/49 =
  33. 33.5/39 =
  34. 34.1/29 =
  35. 35.6/19 =
  36. 36.2/29 =
  37. 37.6/59 =
  38. 38.9/39 =
  39. 39.5/39 =
  40. 40.3/59 =

Answer key

  1. 0.179487
  2. 0.315789
  3. 0.310344
  4. 0.067796
  5. 0.473684
  6. 0.275862
  7. 0.081632
  8. 0.052631
  9. 0.105263
  10. 0.157894
  11. 0.210526
  12. 0.050847
  13. 0.102564
  14. 0.118644
  15. 0.122448
  16. 0.068965
  17. 0.067796
  18. 0.033898
  19. 0.103448
  20. 0.025641
  21. 0.084745
  22. 0.103448
  23. 0.137931
  24. 0.473684
  25. 0.153846
  26. 0.084745
  27. 0.206896
  28. 0.020408
  29. 0.205128
  30. 0.263157
  31. 0.081632
  32. 0.081632
  33. 0.128205
  34. 0.034482
  35. 0.315789
  36. 0.068965
  37. 0.101694
  38. 0.230769
  39. 0.128205
  40. 0.050847

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