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\frac{27}{\frac{3\times 5+3}{5}\times 15}
Express \frac{\frac{27}{\frac{3\times 5+3}{5}}}{15} as a single fraction.
\frac{27}{\frac{15+3}{5}\times 15}
Multiply 3 and 5 to get 15.
\frac{27}{\frac{18}{5}\times 15}
Add 15 and 3 to get 18.
\frac{27}{\frac{18\times 15}{5}}
Express \frac{18}{5}\times 15 as a single fraction.
\frac{27}{\frac{270}{5}}
Multiply 18 and 15 to get 270.
\frac{27}{54}
Divide 270 by 5 to get 54.
\frac{1}{2}
Reduce the fraction \frac{27}{54} to lowest terms by extracting and canceling out 27.