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\frac{1}{6}\times \frac{24}{5}
Divide \frac{1}{6} by \frac{5}{24} by multiplying \frac{1}{6} by the reciprocal of \frac{5}{24}.
\frac{1\times 24}{6\times 5}
Multiply \frac{1}{6} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{24}{30}
Do the multiplications in the fraction \frac{1\times 24}{6\times 5}.
\frac{4}{5}
Reduce the fraction \frac{24}{30} to lowest terms by extracting and canceling out 6.