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\frac{12}{5}\left(-10\right)
Divide \frac{12}{5} by -\frac{1}{10} by multiplying \frac{12}{5} by the reciprocal of -\frac{1}{10}.
\frac{12\left(-10\right)}{5}
Express \frac{12}{5}\left(-10\right) as a single fraction.
\frac{-120}{5}
Multiply 12 and -10 to get -120.
-24
Divide -120 by 5 to get -24.