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\frac{9}{4}-\frac{4\left(-1\right)}{2}\left(-1\right)
Express 4\left(-\frac{1}{2}\right) as a single fraction.
\frac{9}{4}-\frac{-4}{2}\left(-1\right)
Multiply 4 and -1 to get -4.
\frac{9}{4}-\left(-2\left(-1\right)\right)
Divide -4 by 2 to get -2.
\frac{9}{4}-2
Multiply -2 and -1 to get 2.
\frac{9}{4}-\frac{8}{4}
Convert 2 to fraction \frac{8}{4}.
\frac{9-8}{4}
Since \frac{9}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{4}
Subtract 8 from 9 to get 1.