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\frac{8+1}{2}\times \frac{2\times 15+6}{15}
Multiply 4 and 2 to get 8.
\frac{9}{2}\times \frac{2\times 15+6}{15}
Add 8 and 1 to get 9.
\frac{9}{2}\times \frac{30+6}{15}
Multiply 2 and 15 to get 30.
\frac{9}{2}\times \frac{36}{15}
Add 30 and 6 to get 36.
\frac{9}{2}\times \frac{12}{5}
Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.
\frac{9\times 12}{2\times 5}
Multiply \frac{9}{2} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{108}{10}
Do the multiplications in the fraction \frac{9\times 12}{2\times 5}.
\frac{54}{5}
Reduce the fraction \frac{108}{10} to lowest terms by extracting and canceling out 2.