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\frac{3}{4}\left(-\frac{5}{4}\right)
Divide \frac{3}{4} by -\frac{4}{5} by multiplying \frac{3}{4} by the reciprocal of -\frac{4}{5}.
\frac{3\left(-5\right)}{4\times 4}
Multiply \frac{3}{4} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{-15}{16}
Do the multiplications in the fraction \frac{3\left(-5\right)}{4\times 4}.
-\frac{15}{16}
Fraction \frac{-15}{16} can be rewritten as -\frac{15}{16} by extracting the negative sign.