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\frac{25}{2}\times \frac{7}{5}
Divide \frac{25}{2} by \frac{5}{7} by multiplying \frac{25}{2} by the reciprocal of \frac{5}{7}.
\frac{25\times 7}{2\times 5}
Multiply \frac{25}{2} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{175}{10}
Do the multiplications in the fraction \frac{25\times 7}{2\times 5}.
\frac{35}{2}
Reduce the fraction \frac{175}{10} to lowest terms by extracting and canceling out 5.