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\frac{5-2}{2}+\frac{1}{2}
Since \frac{5}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{2}+\frac{1}{2}
Subtract 2 from 5 to get 3.
\frac{3+1}{2}
Since \frac{3}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{4}{2}
Add 3 and 1 to get 4.
2
Divide 4 by 2 to get 2.