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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 555 · 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. 1.5/49 =
  2. 2.2/59 =
  3. 3.2/19 =
  4. 4.9/29 =
  5. 5.9/59 =
  6. 6.8/49 =
  7. 7.4/49 =
  8. 8.1/39 =
  9. 9.2/19 =
  10. 10.1/29 =
  11. 11.1/49 =
  12. 12.2/19 =
  13. 13.4/39 =
  14. 14.3/29 =
  15. 15.9/29 =
  16. 16.5/39 =
  17. 17.6/39 =
  18. 18.9/29 =
  19. 19.5/29 =
  20. 20.9/29 =
  21. 21.8/19 =
  22. 22.7/59 =
  23. 23.3/29 =
  24. 24.2/29 =
  25. 25.1/39 =
  26. 26.8/59 =
  27. 27.3/29 =
  28. 28.1/19 =
  29. 29.7/29 =
  30. 30.6/39 =
  31. 31.3/39 =
  32. 32.6/49 =
  33. 33.2/39 =
  34. 34.8/49 =
  35. 35.2/29 =
  36. 36.1/29 =
  37. 37.7/49 =
  38. 38.7/39 =
  39. 39.9/19 =
  40. 40.4/29 =

Answer key

  1. 0.102040
  2. 0.033898
  3. 0.105263
  4. 0.310344
  5. 0.152542
  6. 0.163265
  7. 0.081632
  8. 0.025641
  9. 0.105263
  10. 0.034482
  11. 0.020408
  12. 0.105263
  13. 0.102564
  14. 0.103448
  15. 0.310344
  16. 0.128205
  17. 0.153846
  18. 0.310344
  19. 0.172413
  20. 0.310344
  21. 0.421052
  22. 0.118644
  23. 0.103448
  24. 0.068965
  25. 0.025641
  26. 0.135593
  27. 0.103448
  28. 0.052631
  29. 0.241379
  30. 0.153846
  31. 0.076923
  32. 0.122448
  33. 0.051282
  34. 0.163265
  35. 0.068965
  36. 0.034482
  37. 0.142857
  38. 0.179487
  39. 0.473684
  40. 0.137931

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