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\frac{2}{5}\times \frac{-3}{12}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{2}{5}\left(-\frac{1}{4}\right)
Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.
\frac{2\left(-1\right)}{5\times 4}
Multiply \frac{2}{5} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{-2}{20}
Do the multiplications in the fraction \frac{2\left(-1\right)}{5\times 4}.
-\frac{1}{10}
Reduce the fraction \frac{-2}{20} to lowest terms by extracting and canceling out 2.