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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 973 · 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. 1.6/19 =
  2. 2.9/49 =
  3. 3.1/19 =
  4. 4.6/59 =
  5. 5.9/59 =
  6. 6.1/49 =
  7. 7.4/59 =
  8. 8.7/29 =
  9. 9.5/19 =
  10. 10.6/29 =
  11. 11.8/59 =
  12. 12.2/59 =
  13. 13.1/39 =
  14. 14.7/59 =
  15. 15.1/49 =
  16. 16.4/19 =
  17. 17.1/39 =
  18. 18.2/59 =
  19. 19.1/39 =
  20. 20.8/59 =
  21. 21.6/29 =
  22. 22.5/59 =
  23. 23.9/29 =
  24. 24.5/49 =
  25. 25.8/29 =
  26. 26.6/59 =
  27. 27.1/49 =
  28. 28.6/19 =
  29. 29.9/49 =
  30. 30.4/39 =
  31. 31.2/49 =
  32. 32.2/19 =
  33. 33.3/49 =
  34. 34.8/19 =
  35. 35.9/19 =
  36. 36.1/39 =
  37. 37.3/19 =
  38. 38.2/19 =
  39. 39.1/39 =
  40. 40.8/19 =

Answer key

  1. 0.315789
  2. 0.183673
  3. 0.052631
  4. 0.101694
  5. 0.152542
  6. 0.020408
  7. 0.067796
  8. 0.241379
  9. 0.263157
  10. 0.206896
  11. 0.135593
  12. 0.033898
  13. 0.025641
  14. 0.118644
  15. 0.020408
  16. 0.210526
  17. 0.025641
  18. 0.033898
  19. 0.025641
  20. 0.135593
  21. 0.206896
  22. 0.084745
  23. 0.310344
  24. 0.102040
  25. 0.275862
  26. 0.101694
  27. 0.020408
  28. 0.315789
  29. 0.183673
  30. 0.102564
  31. 0.040816
  32. 0.105263
  33. 0.061224
  34. 0.421052
  35. 0.473684
  36. 0.025641
  37. 0.157894
  38. 0.105263
  39. 0.025641
  40. 0.421052

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