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\frac{2}{9}\times \frac{7}{4}
Divide \frac{2}{9} by \frac{4}{7} by multiplying \frac{2}{9} by the reciprocal of \frac{4}{7}.
\frac{2\times 7}{9\times 4}
Multiply \frac{2}{9} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{14}{36}
Do the multiplications in the fraction \frac{2\times 7}{9\times 4}.
\frac{7}{18}
Reduce the fraction \frac{14}{36} to lowest terms by extracting and canceling out 2.