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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 254 · 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. 1.8/39 =
  2. 2.8/29 =
  3. 3.8/59 =
  4. 4.5/29 =
  5. 5.6/59 =
  6. 6.4/29 =
  7. 7.8/59 =
  8. 8.5/29 =
  9. 9.1/19 =
  10. 10.9/59 =
  11. 11.1/29 =
  12. 12.1/39 =
  13. 13.8/49 =
  14. 14.7/19 =
  15. 15.2/29 =
  16. 16.3/29 =
  17. 17.5/19 =
  18. 18.6/29 =
  19. 19.2/49 =
  20. 20.9/39 =
  21. 21.5/29 =
  22. 22.9/59 =
  23. 23.6/59 =
  24. 24.1/19 =
  25. 25.5/39 =
  26. 26.5/59 =
  27. 27.3/49 =
  28. 28.9/49 =
  29. 29.5/29 =
  30. 30.8/19 =
  31. 31.2/19 =
  32. 32.2/59 =
  33. 33.2/49 =
  34. 34.9/49 =
  35. 35.5/39 =
  36. 36.9/39 =
  37. 37.5/49 =
  38. 38.6/49 =
  39. 39.4/39 =
  40. 40.6/59 =

Answer key

  1. 0.205128
  2. 0.275862
  3. 0.135593
  4. 0.172413
  5. 0.101694
  6. 0.137931
  7. 0.135593
  8. 0.172413
  9. 0.052631
  10. 0.152542
  11. 0.034482
  12. 0.025641
  13. 0.163265
  14. 0.368421
  15. 0.068965
  16. 0.103448
  17. 0.263157
  18. 0.206896
  19. 0.040816
  20. 0.230769
  21. 0.172413
  22. 0.152542
  23. 0.101694
  24. 0.052631
  25. 0.128205
  26. 0.084745
  27. 0.061224
  28. 0.183673
  29. 0.172413
  30. 0.421052
  31. 0.105263
  32. 0.033898
  33. 0.040816
  34. 0.183673
  35. 0.128205
  36. 0.230769
  37. 0.102040
  38. 0.122448
  39. 0.102564
  40. 0.101694

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