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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 381 · 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. 1.7/59 =
  2. 2.7/49 =
  3. 3.9/49 =
  4. 4.6/59 =
  5. 5.4/39 =
  6. 6.9/19 =
  7. 7.9/39 =
  8. 8.3/39 =
  9. 9.5/39 =
  10. 10.6/19 =
  11. 11.2/19 =
  12. 12.1/49 =
  13. 13.6/49 =
  14. 14.3/29 =
  15. 15.2/29 =
  16. 16.6/19 =
  17. 17.8/29 =
  18. 18.6/29 =
  19. 19.8/59 =
  20. 20.6/49 =
  21. 21.7/39 =
  22. 22.5/49 =
  23. 23.2/39 =
  24. 24.1/59 =
  25. 25.4/29 =
  26. 26.9/49 =
  27. 27.6/59 =
  28. 28.8/49 =
  29. 29.6/19 =
  30. 30.6/49 =
  31. 31.5/49 =
  32. 32.2/19 =
  33. 33.1/19 =
  34. 34.8/39 =
  35. 35.1/59 =
  36. 36.7/29 =
  37. 37.5/59 =
  38. 38.6/39 =
  39. 39.3/19 =
  40. 40.9/29 =

Answer key

  1. 0.118644
  2. 0.142857
  3. 0.183673
  4. 0.101694
  5. 0.102564
  6. 0.473684
  7. 0.230769
  8. 0.076923
  9. 0.128205
  10. 0.315789
  11. 0.105263
  12. 0.020408
  13. 0.122448
  14. 0.103448
  15. 0.068965
  16. 0.315789
  17. 0.275862
  18. 0.206896
  19. 0.135593
  20. 0.122448
  21. 0.179487
  22. 0.102040
  23. 0.051282
  24. 0.016949
  25. 0.137931
  26. 0.183673
  27. 0.101694
  28. 0.163265
  29. 0.315789
  30. 0.122448
  31. 0.102040
  32. 0.105263
  33. 0.052631
  34. 0.205128
  35. 0.016949
  36. 0.241379
  37. 0.084745
  38. 0.153846
  39. 0.157894
  40. 0.310344

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