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\frac{9\times 16+9}{16\times 9}
Express \frac{\frac{9\times 16+9}{16}}{9} as a single fraction.
\frac{144+9}{16\times 9}
Multiply 9 and 16 to get 144.
\frac{153}{16\times 9}
Add 144 and 9 to get 153.
\frac{153}{144}
Multiply 16 and 9 to get 144.
\frac{17}{16}
Reduce the fraction \frac{153}{144} to lowest terms by extracting and canceling out 9.