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\frac{3}{4}\left(-\frac{12}{5}\right)
Divide \frac{3}{4} by -\frac{5}{12} by multiplying \frac{3}{4} by the reciprocal of -\frac{5}{12}.
\frac{3\left(-12\right)}{4\times 5}
Multiply \frac{3}{4} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-36}{20}
Do the multiplications in the fraction \frac{3\left(-12\right)}{4\times 5}.
-\frac{9}{5}
Reduce the fraction \frac{-36}{20} to lowest terms by extracting and canceling out 4.