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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 972 · 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. 1.9/59 =
  2. 2.3/19 =
  3. 3.9/19 =
  4. 4.3/59 =
  5. 5.2/49 =
  6. 6.2/19 =
  7. 7.5/19 =
  8. 8.7/29 =
  9. 9.1/19 =
  10. 10.3/19 =
  11. 11.7/49 =
  12. 12.7/19 =
  13. 13.2/39 =
  14. 14.6/49 =
  15. 15.3/39 =
  16. 16.6/19 =
  17. 17.2/49 =
  18. 18.5/29 =
  19. 19.3/59 =
  20. 20.2/29 =
  21. 21.4/19 =
  22. 22.2/39 =
  23. 23.9/59 =
  24. 24.5/39 =
  25. 25.3/29 =
  26. 26.4/39 =
  27. 27.3/49 =
  28. 28.5/49 =
  29. 29.1/29 =
  30. 30.2/39 =
  31. 31.2/49 =
  32. 32.8/19 =
  33. 33.2/19 =
  34. 34.6/39 =
  35. 35.1/59 =
  36. 36.9/19 =
  37. 37.4/19 =
  38. 38.2/59 =
  39. 39.7/19 =
  40. 40.7/59 =

Answer key

  1. 0.152542
  2. 0.157894
  3. 0.473684
  4. 0.050847
  5. 0.040816
  6. 0.105263
  7. 0.263157
  8. 0.241379
  9. 0.052631
  10. 0.157894
  11. 0.142857
  12. 0.368421
  13. 0.051282
  14. 0.122448
  15. 0.076923
  16. 0.315789
  17. 0.040816
  18. 0.172413
  19. 0.050847
  20. 0.068965
  21. 0.210526
  22. 0.051282
  23. 0.152542
  24. 0.128205
  25. 0.103448
  26. 0.102564
  27. 0.061224
  28. 0.102040
  29. 0.034482
  30. 0.051282
  31. 0.040816
  32. 0.421052
  33. 0.105263
  34. 0.153846
  35. 0.016949
  36. 0.473684
  37. 0.210526
  38. 0.033898
  39. 0.368421
  40. 0.118644

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