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\frac{1}{2}+2-\frac{3}{4}
Anything divided by one gives itself.
\frac{1}{2}+\frac{4}{2}-\frac{3}{4}
Convert 2 to fraction \frac{4}{2}.
\frac{1+4}{2}-\frac{3}{4}
Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.
\frac{5}{2}-\frac{3}{4}
Add 1 and 4 to get 5.
\frac{10}{4}-\frac{3}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{3}{4} to fractions with denominator 4.
\frac{10-3}{4}
Since \frac{10}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{4}
Subtract 3 from 10 to get 7.