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\frac{-5}{2+8}+5
The opposite of -8 is 8.
\frac{-5}{10}+5
Add 2 and 8 to get 10.
-\frac{1}{2}+5
Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.
-\frac{1}{2}+\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
\frac{-1+10}{2}
Since -\frac{1}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.
\frac{9}{2}
Add -1 and 10 to get 9.