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\frac{5}{7}\left(-\frac{3}{2}\right)
Divide \frac{5}{7} by -\frac{2}{3} by multiplying \frac{5}{7} by the reciprocal of -\frac{2}{3}.
\frac{5\left(-3\right)}{7\times 2}
Multiply \frac{5}{7} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-15}{14}
Do the multiplications in the fraction \frac{5\left(-3\right)}{7\times 2}.
-\frac{15}{14}
Fraction \frac{-15}{14} can be rewritten as -\frac{15}{14} by extracting the negative sign.