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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 701 · 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. 1.2/19 =
  2. 2.7/19 =
  3. 3.4/39 =
  4. 4.4/39 =
  5. 5.9/49 =
  6. 6.2/49 =
  7. 7.5/29 =
  8. 8.2/49 =
  9. 9.6/29 =
  10. 10.9/19 =
  11. 11.8/19 =
  12. 12.8/19 =
  13. 13.3/39 =
  14. 14.4/29 =
  15. 15.4/19 =
  16. 16.3/29 =
  17. 17.1/29 =
  18. 18.7/59 =
  19. 19.9/29 =
  20. 20.3/49 =
  21. 21.6/49 =
  22. 22.6/29 =
  23. 23.7/29 =
  24. 24.2/39 =
  25. 25.8/59 =
  26. 26.2/19 =
  27. 27.7/19 =
  28. 28.7/29 =
  29. 29.1/39 =
  30. 30.8/19 =
  31. 31.7/39 =
  32. 32.2/19 =
  33. 33.9/39 =
  34. 34.2/29 =
  35. 35.4/49 =
  36. 36.4/29 =
  37. 37.3/49 =
  38. 38.8/39 =
  39. 39.2/49 =
  40. 40.5/39 =

Answer key

  1. 0.105263
  2. 0.368421
  3. 0.102564
  4. 0.102564
  5. 0.183673
  6. 0.040816
  7. 0.172413
  8. 0.040816
  9. 0.206896
  10. 0.473684
  11. 0.421052
  12. 0.421052
  13. 0.076923
  14. 0.137931
  15. 0.210526
  16. 0.103448
  17. 0.034482
  18. 0.118644
  19. 0.310344
  20. 0.061224
  21. 0.122448
  22. 0.206896
  23. 0.241379
  24. 0.051282
  25. 0.135593
  26. 0.105263
  27. 0.368421
  28. 0.241379
  29. 0.025641
  30. 0.421052
  31. 0.179487
  32. 0.105263
  33. 0.230769
  34. 0.068965
  35. 0.081632
  36. 0.137931
  37. 0.061224
  38. 0.205128
  39. 0.040816
  40. 0.128205

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