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\frac{5}{2}\left(-\frac{7}{21}\right)
Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.
\frac{5}{2}\left(-\frac{1}{3}\right)
Reduce the fraction \frac{7}{21} to lowest terms by extracting and canceling out 7.
\frac{5\left(-1\right)}{2\times 3}
Multiply \frac{5}{2} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-5}{6}
Do the multiplications in the fraction \frac{5\left(-1\right)}{2\times 3}.
-\frac{5}{6}
Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.