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\frac{1\left(-5\right)}{3\times 2}\left(-\frac{3}{10}\right)
Multiply \frac{1}{3} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-5}{6}\left(-\frac{3}{10}\right)
Do the multiplications in the fraction \frac{1\left(-5\right)}{3\times 2}.
-\frac{5}{6}\left(-\frac{3}{10}\right)
Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.
\frac{-5\left(-3\right)}{6\times 10}
Multiply -\frac{5}{6} times -\frac{3}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{15}{60}
Do the multiplications in the fraction \frac{-5\left(-3\right)}{6\times 10}.
\frac{1}{4}
Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.