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\frac{9}{16\times 9}-\frac{9}{16}
Express \frac{\frac{9}{16}}{9} as a single fraction.
\frac{1}{16}-\frac{9}{16}
Cancel out 9 in both numerator and denominator.
\frac{1-9}{16}
Since \frac{1}{16} and \frac{9}{16} have the same denominator, subtract them by subtracting their numerators.
\frac{-8}{16}
Subtract 9 from 1 to get -8.
-\frac{1}{2}
Reduce the fraction \frac{-8}{16} to lowest terms by extracting and canceling out 8.