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\frac{50}{2\times 26}
Divide \frac{1}{2} by \frac{26}{50} by multiplying \frac{1}{2} by the reciprocal of \frac{26}{50}.
\frac{50}{52}
Multiply 2 and 26 to get 52.
\frac{25}{26}
Reduce the fraction \frac{50}{52} to lowest terms by extracting and canceling out 2.