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\frac{8+7}{2}\times \frac{6\times 8+2}{8}
Multiply 4 and 2 to get 8.
\frac{15}{2}\times \frac{6\times 8+2}{8}
Add 8 and 7 to get 15.
\frac{15}{2}\times \frac{48+2}{8}
Multiply 6 and 8 to get 48.
\frac{15}{2}\times \frac{50}{8}
Add 48 and 2 to get 50.
\frac{15}{2}\times \frac{25}{4}
Reduce the fraction \frac{50}{8} to lowest terms by extracting and canceling out 2.
\frac{15\times 25}{2\times 4}
Multiply \frac{15}{2} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{375}{8}
Do the multiplications in the fraction \frac{15\times 25}{2\times 4}.