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\frac{6}{7}\times \frac{5}{9}
Divide \frac{6}{7} by \frac{9}{5} by multiplying \frac{6}{7} by the reciprocal of \frac{9}{5}.
\frac{6\times 5}{7\times 9}
Multiply \frac{6}{7} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{30}{63}
Do the multiplications in the fraction \frac{6\times 5}{7\times 9}.
\frac{10}{21}
Reduce the fraction \frac{30}{63} to lowest terms by extracting and canceling out 3.