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