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\frac{5}{2}-\left(-\frac{2}{4}\right)
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.
\frac{5}{2}-\left(-\frac{1}{2}\right)
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{5}{2}+\frac{1}{2}
The opposite of -\frac{1}{2} is \frac{1}{2}.
\frac{5+1}{2}
Since \frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{6}{2}
Add 5 and 1 to get 6.
3
Divide 6 by 2 to get 3.