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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 584 · 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. 1.1/39 =
  2. 2.9/19 =
  3. 3.2/39 =
  4. 4.9/19 =
  5. 5.8/49 =
  6. 6.1/49 =
  7. 7.5/49 =
  8. 8.5/19 =
  9. 9.5/19 =
  10. 10.4/39 =
  11. 11.1/49 =
  12. 12.2/39 =
  13. 13.9/49 =
  14. 14.5/29 =
  15. 15.3/19 =
  16. 16.8/39 =
  17. 17.2/59 =
  18. 18.8/59 =
  19. 19.4/39 =
  20. 20.1/19 =
  21. 21.8/39 =
  22. 22.9/39 =
  23. 23.7/49 =
  24. 24.5/59 =
  25. 25.5/49 =
  26. 26.5/29 =
  27. 27.9/59 =
  28. 28.5/39 =
  29. 29.8/29 =
  30. 30.3/49 =
  31. 31.5/49 =
  32. 32.3/29 =
  33. 33.6/59 =
  34. 34.8/29 =
  35. 35.6/19 =
  36. 36.6/39 =
  37. 37.6/49 =
  38. 38.7/19 =
  39. 39.6/49 =
  40. 40.6/39 =

Answer key

  1. 0.025641
  2. 0.473684
  3. 0.051282
  4. 0.473684
  5. 0.163265
  6. 0.020408
  7. 0.102040
  8. 0.263157
  9. 0.263157
  10. 0.102564
  11. 0.020408
  12. 0.051282
  13. 0.183673
  14. 0.172413
  15. 0.157894
  16. 0.205128
  17. 0.033898
  18. 0.135593
  19. 0.102564
  20. 0.052631
  21. 0.205128
  22. 0.230769
  23. 0.142857
  24. 0.084745
  25. 0.102040
  26. 0.172413
  27. 0.152542
  28. 0.128205
  29. 0.275862
  30. 0.061224
  31. 0.102040
  32. 0.103448
  33. 0.101694
  34. 0.275862
  35. 0.315789
  36. 0.153846
  37. 0.122448
  38. 0.368421
  39. 0.122448
  40. 0.153846

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