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\frac{2}{9}-\left(-\frac{2}{3}\right)^{-2}
Subtract 1 from \frac{1}{3} to get -\frac{2}{3}.
\frac{2}{9}-\frac{9}{4}
Calculate -\frac{2}{3} to the power of -2 and get \frac{9}{4}.
-\frac{73}{36}
Subtract \frac{9}{4} from \frac{2}{9} to get -\frac{73}{36}.