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\frac{\frac{3\times 3\times 3}{6}}{6\times 6}
Express \frac{\frac{\frac{3\times 3\times 3}{6}}{6}}{6} as a single fraction.
\frac{\frac{9\times 3}{6}}{6\times 6}
Multiply 3 and 3 to get 9.
\frac{\frac{27}{6}}{6\times 6}
Multiply 9 and 3 to get 27.
\frac{\frac{9}{2}}{6\times 6}
Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.
\frac{\frac{9}{2}}{36}
Multiply 6 and 6 to get 36.
\frac{9}{2\times 36}
Express \frac{\frac{9}{2}}{36} as a single fraction.
\frac{9}{72}
Multiply 2 and 36 to get 72.
\frac{1}{8}
Reduce the fraction \frac{9}{72} to lowest terms by extracting and canceling out 9.