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\frac{2}{9}\left(-\frac{3}{5}\right)
Divide \frac{2}{9} by -\frac{5}{3} by multiplying \frac{2}{9} by the reciprocal of -\frac{5}{3}.
\frac{2\left(-3\right)}{9\times 5}
Multiply \frac{2}{9} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-6}{45}
Do the multiplications in the fraction \frac{2\left(-3\right)}{9\times 5}.
-\frac{2}{15}
Reduce the fraction \frac{-6}{45} to lowest terms by extracting and canceling out 3.