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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 131 · 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. 3.1/49 =
  4. 4.6/19 =
  5. 5.9/29 =
  6. 6.8/39 =
  7. 7.6/59 =
  8. 8.8/19 =
  9. 9.1/49 =
  10. 10.1/49 =
  11. 11.5/19 =
  12. 12.2/29 =
  13. 13.3/29 =
  14. 14.7/49 =
  15. 15.9/19 =
  16. 16.3/19 =
  17. 17.1/49 =
  18. 18.8/59 =
  19. 19.1/39 =
  20. 20.2/19 =
  21. 21.3/19 =
  22. 22.1/39 =
  23. 23.4/49 =
  24. 24.2/29 =
  25. 25.2/29 =
  26. 26.1/29 =
  27. 27.6/59 =
  28. 28.6/19 =
  29. 29.2/29 =
  30. 30.6/39 =
  31. 31.3/59 =
  32. 32.5/39 =
  33. 33.1/19 =
  34. 34.9/19 =
  35. 35.2/29 =
  36. 36.9/29 =
  37. 37.4/39 =
  38. 38.7/29 =
  39. 39.1/59 =
  40. 40.7/19 =

Answer key

  1. 0.025641
  2. 0.473684
  3. 0.020408
  4. 0.315789
  5. 0.310344
  6. 0.205128
  7. 0.101694
  8. 0.421052
  9. 0.020408
  10. 0.020408
  11. 0.263157
  12. 0.068965
  13. 0.103448
  14. 0.142857
  15. 0.473684
  16. 0.157894
  17. 0.020408
  18. 0.135593
  19. 0.025641
  20. 0.105263
  21. 0.157894
  22. 0.025641
  23. 0.081632
  24. 0.068965
  25. 0.068965
  26. 0.034482
  27. 0.101694
  28. 0.315789
  29. 0.068965
  30. 0.153846
  31. 0.050847
  32. 0.128205
  33. 0.052631
  34. 0.473684
  35. 0.068965
  36. 0.310344
  37. 0.102564
  38. 0.241379
  39. 0.016949
  40. 0.368421

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