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\frac{\frac{1}{4}\times 10}{\frac{1}{8}}
Divide \frac{\frac{1}{4}}{\frac{1}{8}} by \frac{1}{10} by multiplying \frac{\frac{1}{4}}{\frac{1}{8}} by the reciprocal of \frac{1}{10}.
\frac{\frac{10}{4}}{\frac{1}{8}}
Multiply \frac{1}{4} and 10 to get \frac{10}{4}.
\frac{\frac{5}{2}}{\frac{1}{8}}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.
\frac{5}{2}\times 8
Divide \frac{5}{2} by \frac{1}{8} by multiplying \frac{5}{2} by the reciprocal of \frac{1}{8}.
\frac{5\times 8}{2}
Express \frac{5}{2}\times 8 as a single fraction.
\frac{40}{2}
Multiply 5 and 8 to get 40.
20
Divide 40 by 2 to get 20.