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\frac{5}{7}\times \frac{9}{5}
Divide \frac{5}{7} by \frac{5}{9} by multiplying \frac{5}{7} by the reciprocal of \frac{5}{9}.
\frac{5\times 9}{7\times 5}
Multiply \frac{5}{7} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{7}
Cancel out 5 in both numerator and denominator.