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\frac{15+32}{3}\times \frac{54\times 8+6}{8}
Multiply 5 and 3 to get 15.
\frac{47}{3}\times \frac{54\times 8+6}{8}
Add 15 and 32 to get 47.
\frac{47}{3}\times \frac{432+6}{8}
Multiply 54 and 8 to get 432.
\frac{47}{3}\times \frac{438}{8}
Add 432 and 6 to get 438.
\frac{47}{3}\times \frac{219}{4}
Reduce the fraction \frac{438}{8} to lowest terms by extracting and canceling out 2.
\frac{47\times 219}{3\times 4}
Multiply \frac{47}{3} times \frac{219}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{10293}{12}
Do the multiplications in the fraction \frac{47\times 219}{3\times 4}.
\frac{3431}{4}
Reduce the fraction \frac{10293}{12} to lowest terms by extracting and canceling out 3.