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3-\frac{\frac{1}{4}+\frac{2}{4}}{\frac{3}{4}}
Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.
3-\frac{\frac{1+2}{4}}{\frac{3}{4}}
Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
3-\frac{\frac{3}{4}}{\frac{3}{4}}
Add 1 and 2 to get 3.
3-1
Divide \frac{3}{4} by \frac{3}{4} to get 1.
2
Subtract 1 from 3 to get 2.