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\frac{5}{7}\times \frac{14}{9}
Divide \frac{5}{7} by \frac{9}{14} by multiplying \frac{5}{7} by the reciprocal of \frac{9}{14}.
\frac{5\times 14}{7\times 9}
Multiply \frac{5}{7} times \frac{14}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{70}{63}
Do the multiplications in the fraction \frac{5\times 14}{7\times 9}.
\frac{10}{9}
Reduce the fraction \frac{70}{63} to lowest terms by extracting and canceling out 7.