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\frac{6}{13-9}\times \frac{13-3}{2}
Add -2 and 8 to get 6.
\frac{6}{4}\times \frac{13-3}{2}
Subtract 9 from 13 to get 4.
\frac{3}{2}\times \frac{13-3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}\times \frac{10}{2}
Subtract 3 from 13 to get 10.
\frac{3}{2}\times 5
Divide 10 by 2 to get 5.
\frac{3\times 5}{2}
Express \frac{3}{2}\times 5 as a single fraction.
\frac{15}{2}
Multiply 3 and 5 to get 15.