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-\frac{1}{2}+3-\left(-6\right)
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
-\frac{1}{2}+\frac{6}{2}-\left(-6\right)
Convert 3 to fraction \frac{6}{2}.
\frac{-1+6}{2}-\left(-6\right)
Since -\frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.
\frac{5}{2}-\left(-6\right)
Add -1 and 6 to get 5.
\frac{5}{2}+6
The opposite of -6 is 6.
\frac{5}{2}+\frac{12}{2}
Convert 6 to fraction \frac{12}{2}.
\frac{5+12}{2}
Since \frac{5}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.
\frac{17}{2}
Add 5 and 12 to get 17.