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\frac{4\left(-3\right)}{9}
Express \frac{4}{9}\left(-3\right) as a single fraction.
\frac{-12}{9}
Multiply 4 and -3 to get -12.
-\frac{4}{3}
Reduce the fraction \frac{-12}{9} to lowest terms by extracting and canceling out 3.