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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 635 · 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. 1.7/59 =
  2. 2.6/59 =
  3. 3.4/49 =
  4. 4.9/59 =
  5. 5.6/19 =
  6. 6.1/39 =
  7. 7.5/29 =
  8. 8.7/49 =
  9. 9.9/29 =
  10. 10.9/49 =
  11. 11.6/29 =
  12. 12.9/39 =
  13. 13.1/59 =
  14. 14.1/49 =
  15. 15.9/39 =
  16. 16.8/49 =
  17. 17.6/49 =
  18. 18.3/49 =
  19. 19.8/19 =
  20. 20.1/59 =
  21. 21.7/39 =
  22. 22.5/19 =
  23. 23.2/59 =
  24. 24.9/19 =
  25. 25.3/29 =
  26. 26.1/49 =
  27. 27.5/39 =
  28. 28.8/49 =
  29. 29.4/19 =
  30. 30.6/59 =
  31. 31.3/39 =
  32. 32.1/59 =
  33. 33.4/49 =
  34. 34.7/19 =
  35. 35.2/29 =
  36. 36.7/19 =
  37. 37.1/49 =
  38. 38.1/59 =
  39. 39.8/59 =
  40. 40.1/59 =

Answer key

  1. 0.118644
  2. 0.101694
  3. 0.081632
  4. 0.152542
  5. 0.315789
  6. 0.025641
  7. 0.172413
  8. 0.142857
  9. 0.310344
  10. 0.183673
  11. 0.206896
  12. 0.230769
  13. 0.016949
  14. 0.020408
  15. 0.230769
  16. 0.163265
  17. 0.122448
  18. 0.061224
  19. 0.421052
  20. 0.016949
  21. 0.179487
  22. 0.263157
  23. 0.033898
  24. 0.473684
  25. 0.103448
  26. 0.020408
  27. 0.128205
  28. 0.163265
  29. 0.210526
  30. 0.101694
  31. 0.076923
  32. 0.016949
  33. 0.081632
  34. 0.368421
  35. 0.068965
  36. 0.368421
  37. 0.020408
  38. 0.016949
  39. 0.135593
  40. 0.016949

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