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\frac{5}{8}\times 6
Divide \frac{5}{8} by \frac{1}{6} by multiplying \frac{5}{8} by the reciprocal of \frac{1}{6}.
\frac{5\times 6}{8}
Express \frac{5}{8}\times 6 as a single fraction.
\frac{30}{8}
Multiply 5 and 6 to get 30.
\frac{15}{4}
Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.