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\frac{\left(3\times 7+3\right)\times 3}{7\left(11\times 3+5\right)}\times \frac{8\times 6+5}{6}
Divide \frac{3\times 7+3}{7} by \frac{11\times 3+5}{3} by multiplying \frac{3\times 7+3}{7} by the reciprocal of \frac{11\times 3+5}{3}.
\frac{\left(21+3\right)\times 3}{7\left(11\times 3+5\right)}\times \frac{8\times 6+5}{6}
Multiply 3 and 7 to get 21.
\frac{24\times 3}{7\left(11\times 3+5\right)}\times \frac{8\times 6+5}{6}
Add 21 and 3 to get 24.
\frac{72}{7\left(11\times 3+5\right)}\times \frac{8\times 6+5}{6}
Multiply 24 and 3 to get 72.
\frac{72}{7\left(33+5\right)}\times \frac{8\times 6+5}{6}
Multiply 11 and 3 to get 33.
\frac{72}{7\times 38}\times \frac{8\times 6+5}{6}
Add 33 and 5 to get 38.
\frac{72}{266}\times \frac{8\times 6+5}{6}
Multiply 7 and 38 to get 266.
\frac{36}{133}\times \frac{8\times 6+5}{6}
Reduce the fraction \frac{72}{266} to lowest terms by extracting and canceling out 2.
\frac{36}{133}\times \frac{48+5}{6}
Multiply 8 and 6 to get 48.
\frac{36}{133}\times \frac{53}{6}
Add 48 and 5 to get 53.
\frac{36\times 53}{133\times 6}
Multiply \frac{36}{133} times \frac{53}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{1908}{798}
Do the multiplications in the fraction \frac{36\times 53}{133\times 6}.
\frac{318}{133}
Reduce the fraction \frac{1908}{798} to lowest terms by extracting and canceling out 6.