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\frac{-2\left(-8\right)}{3\times 7}\times \frac{1}{4}
Multiply -\frac{2}{3} times -\frac{8}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{16}{21}\times \frac{1}{4}
Do the multiplications in the fraction \frac{-2\left(-8\right)}{3\times 7}.
\frac{16\times 1}{21\times 4}
Multiply \frac{16}{21} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{16}{84}
Do the multiplications in the fraction \frac{16\times 1}{21\times 4}.
\frac{4}{21}
Reduce the fraction \frac{16}{84} to lowest terms by extracting and canceling out 4.