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\frac{\frac{5}{25}\times 10}{\frac{4}{10}\times 5}
Divide \frac{\frac{5}{25}}{\frac{4}{10}} by \frac{5}{10} by multiplying \frac{\frac{5}{25}}{\frac{4}{10}} by the reciprocal of \frac{5}{10}.
\frac{\frac{1}{5}\times 10}{\frac{4}{10}\times 5}
Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.
\frac{\frac{10}{5}}{\frac{4}{10}\times 5}
Multiply \frac{1}{5} and 10 to get \frac{10}{5}.
\frac{2}{\frac{4}{10}\times 5}
Divide 10 by 5 to get 2.
\frac{2}{\frac{2}{5}\times 5}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{2}{2}
Cancel out 5 and 5.
1
Divide 2 by 2 to get 1.