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\frac{4}{5}\left(-\frac{2}{3}\right)
Divide \frac{4}{5} by -\frac{3}{2} by multiplying \frac{4}{5} by the reciprocal of -\frac{3}{2}.
\frac{4\left(-2\right)}{5\times 3}
Multiply \frac{4}{5} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-8}{15}
Do the multiplications in the fraction \frac{4\left(-2\right)}{5\times 3}.
-\frac{8}{15}
Fraction \frac{-8}{15} can be rewritten as -\frac{8}{15} by extracting the negative sign.