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\frac{1}{2}+2-\frac{2}{4}
Anything divided by one gives itself.
\frac{1}{2}+\frac{4}{2}-\frac{2}{4}
Convert 2 to fraction \frac{4}{2}.
\frac{1+4}{2}-\frac{2}{4}
Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.
\frac{5}{2}-\frac{2}{4}
Add 1 and 4 to get 5.
\frac{5}{2}-\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{5-1}{2}
Since \frac{5}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{2}
Subtract 1 from 5 to get 4.
2
Divide 4 by 2 to get 2.