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-\frac{4}{15}\times \frac{9}{2}
Divide -\frac{4}{15} by \frac{2}{9} by multiplying -\frac{4}{15} by the reciprocal of \frac{2}{9}.
\frac{-4\times 9}{15\times 2}
Multiply -\frac{4}{15} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-36}{30}
Do the multiplications in the fraction \frac{-4\times 9}{15\times 2}.
-\frac{6}{5}
Reduce the fraction \frac{-36}{30} to lowest terms by extracting and canceling out 6.