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9+\frac{1}{2}
Add 8 and 1 to get 9.
\frac{18}{2}+\frac{1}{2}
Convert 9 to fraction \frac{18}{2}.
\frac{18+1}{2}
Since \frac{18}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{19}{2}
Add 18 and 1 to get 19.