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\frac{\left(4\times 12+5\right)\times 9}{12}
Divide \frac{4\times 12+5}{12} by \frac{1}{9} by multiplying \frac{4\times 12+5}{12} by the reciprocal of \frac{1}{9}.
\frac{\left(48+5\right)\times 9}{12}
Multiply 4 and 12 to get 48.
\frac{53\times 9}{12}
Add 48 and 5 to get 53.
\frac{477}{12}
Multiply 53 and 9 to get 477.
\frac{159}{4}
Reduce the fraction \frac{477}{12} to lowest terms by extracting and canceling out 3.