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