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1+\frac{1}{1+1}
Divide 1 by 1 to get 1.
1+\frac{1}{2}
Add 1 and 1 to get 2.
\frac{2}{2}+\frac{1}{2}
Convert 1 to fraction \frac{2}{2}.
\frac{2+1}{2}
Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{3}{2}
Add 2 and 1 to get 3.