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\frac{12}{5}\left(-\frac{2}{5}\right)
Divide \frac{12}{5} by -\frac{5}{2} by multiplying \frac{12}{5} by the reciprocal of -\frac{5}{2}.
\frac{12\left(-2\right)}{5\times 5}
Multiply \frac{12}{5} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-24}{25}
Do the multiplications in the fraction \frac{12\left(-2\right)}{5\times 5}.
-\frac{24}{25}
Fraction \frac{-24}{25} can be rewritten as -\frac{24}{25} by extracting the negative sign.