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\frac{1}{2}+\frac{1}{2}+1
Divide 2 by 2 to get 1.
\frac{1+1}{2}+1
Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{2}{2}+1
Add 1 and 1 to get 2.
1+1
Divide 2 by 2 to get 1.
2
Add 1 and 1 to get 2.