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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 298 · 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. 1.8/59 =
  2. 2.7/29 =
  3. 3.1/39 =
  4. 4.2/39 =
  5. 5.6/59 =
  6. 6.2/49 =
  7. 7.6/59 =
  8. 8.4/39 =
  9. 9.9/49 =
  10. 10.4/29 =
  11. 11.7/19 =
  12. 12.2/49 =
  13. 13.8/49 =
  14. 14.9/49 =
  15. 15.1/29 =
  16. 16.1/49 =
  17. 17.8/29 =
  18. 18.4/49 =
  19. 19.7/49 =
  20. 20.8/49 =
  21. 21.9/59 =
  22. 22.6/49 =
  23. 23.9/49 =
  24. 24.5/49 =
  25. 25.8/19 =
  26. 26.1/29 =
  27. 27.9/39 =
  28. 28.5/19 =
  29. 29.1/59 =
  30. 30.9/19 =
  31. 31.6/29 =
  32. 32.3/59 =
  33. 33.8/39 =
  34. 34.2/29 =
  35. 35.6/49 =
  36. 36.9/49 =
  37. 37.7/39 =
  38. 38.8/49 =
  39. 39.8/29 =
  40. 40.3/49 =

Answer key

  1. 0.135593
  2. 0.241379
  3. 0.025641
  4. 0.051282
  5. 0.101694
  6. 0.040816
  7. 0.101694
  8. 0.102564
  9. 0.183673
  10. 0.137931
  11. 0.368421
  12. 0.040816
  13. 0.163265
  14. 0.183673
  15. 0.034482
  16. 0.020408
  17. 0.275862
  18. 0.081632
  19. 0.142857
  20. 0.163265
  21. 0.152542
  22. 0.122448
  23. 0.183673
  24. 0.102040
  25. 0.421052
  26. 0.034482
  27. 0.230769
  28. 0.263157
  29. 0.016949
  30. 0.473684
  31. 0.206896
  32. 0.050847
  33. 0.205128
  34. 0.068965
  35. 0.122448
  36. 0.183673
  37. 0.179487
  38. 0.163265
  39. 0.275862
  40. 0.061224

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