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18-\frac{9}{2}+5
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
\frac{36}{2}-\frac{9}{2}+5
Convert 18 to fraction \frac{36}{2}.
\frac{36-9}{2}+5
Since \frac{36}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{27}{2}+5
Subtract 9 from 36 to get 27.
\frac{27}{2}+\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
\frac{27+10}{2}
Since \frac{27}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.
\frac{37}{2}
Add 27 and 10 to get 37.