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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 258 · 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. 1.3/49 =
  2. 2.6/59 =
  3. 3.1/39 =
  4. 4.1/49 =
  5. 5.2/29 =
  6. 6.5/49 =
  7. 7.8/49 =
  8. 8.7/19 =
  9. 9.6/19 =
  10. 10.4/19 =
  11. 11.3/19 =
  12. 12.1/29 =
  13. 13.6/59 =
  14. 14.9/29 =
  15. 15.4/39 =
  16. 16.3/39 =
  17. 17.4/59 =
  18. 18.7/29 =
  19. 19.3/19 =
  20. 20.9/59 =
  21. 21.8/59 =
  22. 22.4/29 =
  23. 23.9/49 =
  24. 24.9/19 =
  25. 25.3/39 =
  26. 26.7/59 =
  27. 27.9/19 =
  28. 28.6/59 =
  29. 29.6/49 =
  30. 30.4/59 =
  31. 31.1/49 =
  32. 32.2/29 =
  33. 33.8/49 =
  34. 34.7/19 =
  35. 35.8/19 =
  36. 36.1/49 =
  37. 37.2/49 =
  38. 38.7/39 =
  39. 39.9/19 =
  40. 40.3/39 =

Answer key

  1. 0.061224
  2. 0.101694
  3. 0.025641
  4. 0.020408
  5. 0.068965
  6. 0.102040
  7. 0.163265
  8. 0.368421
  9. 0.315789
  10. 0.210526
  11. 0.157894
  12. 0.034482
  13. 0.101694
  14. 0.310344
  15. 0.102564
  16. 0.076923
  17. 0.067796
  18. 0.241379
  19. 0.157894
  20. 0.152542
  21. 0.135593
  22. 0.137931
  23. 0.183673
  24. 0.473684
  25. 0.076923
  26. 0.118644
  27. 0.473684
  28. 0.101694
  29. 0.122448
  30. 0.067796
  31. 0.020408
  32. 0.068965
  33. 0.163265
  34. 0.368421
  35. 0.421052
  36. 0.020408
  37. 0.040816
  38. 0.179487
  39. 0.473684
  40. 0.076923

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