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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 569 · 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. 1.2/29 =
  2. 2.9/19 =
  3. 3.4/49 =
  4. 4.9/19 =
  5. 5.2/29 =
  6. 6.3/39 =
  7. 7.9/39 =
  8. 8.5/19 =
  9. 9.4/39 =
  10. 10.9/19 =
  11. 11.2/59 =
  12. 12.5/29 =
  13. 13.5/39 =
  14. 14.3/39 =
  15. 15.2/49 =
  16. 16.6/29 =
  17. 17.1/29 =
  18. 18.4/19 =
  19. 19.6/49 =
  20. 20.1/59 =
  21. 21.4/39 =
  22. 22.9/49 =
  23. 23.9/39 =
  24. 24.2/19 =
  25. 25.1/49 =
  26. 26.8/29 =
  27. 27.9/19 =
  28. 28.7/59 =
  29. 29.1/49 =
  30. 30.9/59 =
  31. 31.6/39 =
  32. 32.2/39 =
  33. 33.2/19 =
  34. 34.1/59 =
  35. 35.9/59 =
  36. 36.4/19 =
  37. 37.3/59 =
  38. 38.1/19 =
  39. 39.3/49 =
  40. 40.2/39 =

Answer key

  1. 0.068965
  2. 0.473684
  3. 0.081632
  4. 0.473684
  5. 0.068965
  6. 0.076923
  7. 0.230769
  8. 0.263157
  9. 0.102564
  10. 0.473684
  11. 0.033898
  12. 0.172413
  13. 0.128205
  14. 0.076923
  15. 0.040816
  16. 0.206896
  17. 0.034482
  18. 0.210526
  19. 0.122448
  20. 0.016949
  21. 0.102564
  22. 0.183673
  23. 0.230769
  24. 0.105263
  25. 0.020408
  26. 0.275862
  27. 0.473684
  28. 0.118644
  29. 0.020408
  30. 0.152542
  31. 0.153846
  32. 0.051282
  33. 0.105263
  34. 0.016949
  35. 0.152542
  36. 0.210526
  37. 0.050847
  38. 0.052631
  39. 0.061224
  40. 0.051282

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