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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 732 · 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. 1.3/39 =
  2. 2.3/39 =
  3. 3.5/49 =
  4. 4.4/19 =
  5. 5.5/49 =
  6. 6.9/59 =
  7. 7.9/59 =
  8. 8.8/59 =
  9. 9.8/19 =
  10. 10.9/49 =
  11. 11.2/39 =
  12. 12.8/39 =
  13. 13.5/19 =
  14. 14.1/29 =
  15. 15.4/59 =
  16. 16.3/59 =
  17. 17.9/39 =
  18. 18.7/39 =
  19. 19.7/19 =
  20. 20.7/29 =
  21. 21.6/59 =
  22. 22.1/19 =
  23. 23.6/59 =
  24. 24.2/29 =
  25. 25.2/49 =
  26. 26.7/59 =
  27. 27.6/49 =
  28. 28.9/19 =
  29. 29.3/59 =
  30. 30.1/49 =
  31. 31.2/39 =
  32. 32.3/59 =
  33. 33.1/49 =
  34. 34.8/29 =
  35. 35.8/59 =
  36. 36.7/59 =
  37. 37.5/39 =
  38. 38.2/19 =
  39. 39.4/39 =
  40. 40.9/49 =

Answer key

  1. 0.076923
  2. 0.076923
  3. 0.102040
  4. 0.210526
  5. 0.102040
  6. 0.152542
  7. 0.152542
  8. 0.135593
  9. 0.421052
  10. 0.183673
  11. 0.051282
  12. 0.205128
  13. 0.263157
  14. 0.034482
  15. 0.067796
  16. 0.050847
  17. 0.230769
  18. 0.179487
  19. 0.368421
  20. 0.241379
  21. 0.101694
  22. 0.052631
  23. 0.101694
  24. 0.068965
  25. 0.040816
  26. 0.118644
  27. 0.122448
  28. 0.473684
  29. 0.050847
  30. 0.020408
  31. 0.051282
  32. 0.050847
  33. 0.020408
  34. 0.275862
  35. 0.135593
  36. 0.118644
  37. 0.128205
  38. 0.105263
  39. 0.102564
  40. 0.183673

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