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