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\frac{3}{2}-4+5
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
\frac{3}{2}-\frac{8}{2}+5
Convert 4 to fraction \frac{8}{2}.
\frac{3-8}{2}+5
Since \frac{3}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{5}{2}+5
Subtract 8 from 3 to get -5.
-\frac{5}{2}+\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
\frac{-5+10}{2}
Since -\frac{5}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.
\frac{5}{2}
Add -5 and 10 to get 5.