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\frac{2\times 7}{10}
Divide \frac{2}{10} by \frac{1}{7} by multiplying \frac{2}{10} by the reciprocal of \frac{1}{7}.
\frac{14}{10}
Multiply 2 and 7 to get 14.
\frac{7}{5}
Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.