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\frac{2}{3\left(-2\right)}
Express \frac{\frac{2}{3}}{-2} as a single fraction.
\frac{2}{-6}
Multiply 3 and -2 to get -6.
-\frac{1}{3}
Reduce the fraction \frac{2}{-6} to lowest terms by extracting and canceling out 2.