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\frac{8}{2}-\left(\frac{9}{5}-1\right)^{-1}
Divide 5 by 5 to get 1.
4-\left(\frac{9}{5}-1\right)^{-1}
Divide 8 by 2 to get 4.
4-\left(\frac{4}{5}\right)^{-1}
Subtract 1 from \frac{9}{5} to get \frac{4}{5}.
4-\frac{5}{4}
Calculate \frac{4}{5} to the power of -1 and get \frac{5}{4}.
\frac{11}{4}
Subtract \frac{5}{4} from 4 to get \frac{11}{4}.