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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 9 · 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. 1.3/19 =
  2. 2.4/29 =
  3. 3.9/59 =
  4. 4.6/59 =
  5. 5.2/59 =
  6. 6.9/19 =
  7. 7.1/19 =
  8. 8.7/49 =
  9. 9.6/19 =
  10. 10.1/39 =
  11. 11.3/49 =
  12. 12.1/49 =
  13. 13.6/19 =
  14. 14.2/39 =
  15. 15.1/49 =
  16. 16.1/19 =
  17. 17.4/29 =
  18. 18.2/19 =
  19. 19.4/39 =
  20. 20.7/39 =
  21. 21.4/59 =
  22. 22.8/39 =
  23. 23.2/59 =
  24. 24.3/49 =
  25. 25.4/29 =
  26. 26.4/59 =
  27. 27.6/39 =
  28. 28.9/29 =
  29. 29.5/49 =
  30. 30.2/29 =
  31. 31.6/19 =
  32. 32.6/49 =
  33. 33.4/19 =
  34. 34.7/49 =
  35. 35.5/39 =
  36. 36.7/19 =
  37. 37.5/59 =
  38. 38.3/39 =
  39. 39.4/19 =
  40. 40.1/19 =

Answer key

  1. 0.157894
  2. 0.137931
  3. 0.152542
  4. 0.101694
  5. 0.033898
  6. 0.473684
  7. 0.052631
  8. 0.142857
  9. 0.315789
  10. 0.025641
  11. 0.061224
  12. 0.020408
  13. 0.315789
  14. 0.051282
  15. 0.020408
  16. 0.052631
  17. 0.137931
  18. 0.105263
  19. 0.102564
  20. 0.179487
  21. 0.067796
  22. 0.205128
  23. 0.033898
  24. 0.061224
  25. 0.137931
  26. 0.067796
  27. 0.153846
  28. 0.310344
  29. 0.102040
  30. 0.068965
  31. 0.315789
  32. 0.122448
  33. 0.210526
  34. 0.142857
  35. 0.128205
  36. 0.368421
  37. 0.084745
  38. 0.076923
  39. 0.210526
  40. 0.052631

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