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\frac{1}{4}\times \frac{2}{7}
Divide \frac{1}{4} by \frac{7}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{7}{2}.
\frac{1\times 2}{4\times 7}
Multiply \frac{1}{4} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{28}
Do the multiplications in the fraction \frac{1\times 2}{4\times 7}.
\frac{1}{14}
Reduce the fraction \frac{2}{28} to lowest terms by extracting and canceling out 2.