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\frac{\frac{1\times 5}{5\times 7}}{\frac{2}{7}}
Multiply \frac{1}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{1}{7}}{\frac{2}{7}}
Cancel out 5 in both numerator and denominator.
\frac{1}{7}\times \frac{7}{2}
Divide \frac{1}{7} by \frac{2}{7} by multiplying \frac{1}{7} by the reciprocal of \frac{2}{7}.
\frac{1\times 7}{7\times 2}
Multiply \frac{1}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{2}
Cancel out 7 in both numerator and denominator.