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\frac{5\times 2}{9\times 7}\times \frac{7}{5}
Multiply \frac{5}{9} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{10}{63}\times \frac{7}{5}
Do the multiplications in the fraction \frac{5\times 2}{9\times 7}.
\frac{10\times 7}{63\times 5}
Multiply \frac{10}{63} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{70}{315}
Do the multiplications in the fraction \frac{10\times 7}{63\times 5}.
\frac{2}{9}
Reduce the fraction \frac{70}{315} to lowest terms by extracting and canceling out 35.