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\frac{\left(1\times 16+7\right)\times 5}{16\left(9\times 5+1\right)}
Divide \frac{1\times 16+7}{16} by \frac{9\times 5+1}{5} by multiplying \frac{1\times 16+7}{16} by the reciprocal of \frac{9\times 5+1}{5}.
\frac{\left(16+7\right)\times 5}{16\left(9\times 5+1\right)}
Multiply 1 and 16 to get 16.
\frac{23\times 5}{16\left(9\times 5+1\right)}
Add 16 and 7 to get 23.
\frac{115}{16\left(9\times 5+1\right)}
Multiply 23 and 5 to get 115.
\frac{115}{16\left(45+1\right)}
Multiply 9 and 5 to get 45.
\frac{115}{16\times 46}
Add 45 and 1 to get 46.
\frac{115}{736}
Multiply 16 and 46 to get 736.
\frac{5}{32}
Reduce the fraction \frac{115}{736} to lowest terms by extracting and canceling out 23.