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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 192 · 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. 1.2/19 =
  2. 2.7/29 =
  3. 3.3/59 =
  4. 4.2/29 =
  5. 5.6/49 =
  6. 6.2/39 =
  7. 7.6/19 =
  8. 8.7/19 =
  9. 9.5/39 =
  10. 10.3/29 =
  11. 11.1/49 =
  12. 12.7/29 =
  13. 13.5/29 =
  14. 14.8/49 =
  15. 15.9/49 =
  16. 16.2/59 =
  17. 17.3/59 =
  18. 18.2/59 =
  19. 19.4/29 =
  20. 20.4/39 =
  21. 21.9/49 =
  22. 22.2/49 =
  23. 23.9/39 =
  24. 24.7/39 =
  25. 25.9/29 =
  26. 26.9/59 =
  27. 27.7/29 =
  28. 28.3/29 =
  29. 29.5/29 =
  30. 30.5/19 =
  31. 31.6/29 =
  32. 32.5/19 =
  33. 33.4/49 =
  34. 34.8/19 =
  35. 35.9/39 =
  36. 36.1/29 =
  37. 37.8/59 =
  38. 38.6/39 =
  39. 39.8/19 =
  40. 40.1/29 =

Answer key

  1. 0.105263
  2. 0.241379
  3. 0.050847
  4. 0.068965
  5. 0.122448
  6. 0.051282
  7. 0.315789
  8. 0.368421
  9. 0.128205
  10. 0.103448
  11. 0.020408
  12. 0.241379
  13. 0.172413
  14. 0.163265
  15. 0.183673
  16. 0.033898
  17. 0.050847
  18. 0.033898
  19. 0.137931
  20. 0.102564
  21. 0.183673
  22. 0.040816
  23. 0.230769
  24. 0.179487
  25. 0.310344
  26. 0.152542
  27. 0.241379
  28. 0.103448
  29. 0.172413
  30. 0.263157
  31. 0.206896
  32. 0.263157
  33. 0.081632
  34. 0.421052
  35. 0.230769
  36. 0.034482
  37. 0.135593
  38. 0.153846
  39. 0.421052
  40. 0.034482

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