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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 849 · 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. 1.9/19 =
  2. 2.3/59 =
  3. 3.1/29 =
  4. 4.4/39 =
  5. 5.2/29 =
  6. 6.3/49 =
  7. 7.5/59 =
  8. 8.4/39 =
  9. 9.4/19 =
  10. 10.3/19 =
  11. 11.5/39 =
  12. 12.7/59 =
  13. 13.9/39 =
  14. 14.6/59 =
  15. 15.9/29 =
  16. 16.7/29 =
  17. 17.6/59 =
  18. 18.1/29 =
  19. 19.7/19 =
  20. 20.8/19 =
  21. 21.8/29 =
  22. 22.5/49 =
  23. 23.7/59 =
  24. 24.1/49 =
  25. 25.5/29 =
  26. 26.7/49 =
  27. 27.6/49 =
  28. 28.4/19 =
  29. 29.6/39 =
  30. 30.1/39 =
  31. 31.3/59 =
  32. 32.8/39 =
  33. 33.6/19 =
  34. 34.1/59 =
  35. 35.3/29 =
  36. 36.2/19 =
  37. 37.3/59 =
  38. 38.1/19 =
  39. 39.9/19 =
  40. 40.8/19 =

Answer key

  1. 0.473684
  2. 0.050847
  3. 0.034482
  4. 0.102564
  5. 0.068965
  6. 0.061224
  7. 0.084745
  8. 0.102564
  9. 0.210526
  10. 0.157894
  11. 0.128205
  12. 0.118644
  13. 0.230769
  14. 0.101694
  15. 0.310344
  16. 0.241379
  17. 0.101694
  18. 0.034482
  19. 0.368421
  20. 0.421052
  21. 0.275862
  22. 0.102040
  23. 0.118644
  24. 0.020408
  25. 0.172413
  26. 0.142857
  27. 0.122448
  28. 0.210526
  29. 0.153846
  30. 0.025641
  31. 0.050847
  32. 0.205128
  33. 0.315789
  34. 0.016949
  35. 0.103448
  36. 0.105263
  37. 0.050847
  38. 0.052631
  39. 0.473684
  40. 0.421052

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