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\frac{\frac{1}{4}\times 6}{\frac{2}{5}\times 3}
Divide \frac{\frac{1}{4}}{\frac{2}{5}} by \frac{3}{6} by multiplying \frac{\frac{1}{4}}{\frac{2}{5}} by the reciprocal of \frac{3}{6}.
\frac{\frac{1}{4}\times 2}{\frac{2}{5}}
Cancel out 3 in both numerator and denominator.
\frac{\frac{2}{4}}{\frac{2}{5}}
Multiply \frac{1}{4} and 2 to get \frac{2}{4}.
\frac{\frac{1}{2}}{\frac{2}{5}}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1}{2}\times \frac{5}{2}
Divide \frac{1}{2} by \frac{2}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{2}{5}.
\frac{1\times 5}{2\times 2}
Multiply \frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{4}
Do the multiplications in the fraction \frac{1\times 5}{2\times 2}.