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\frac{5}{8}\times \frac{6}{5}
Divide \frac{5}{8} by \frac{5}{6} by multiplying \frac{5}{8} by the reciprocal of \frac{5}{6}.
\frac{5\times 6}{8\times 5}
Multiply \frac{5}{8} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{8}
Cancel out 5 in both numerator and denominator.
\frac{3}{4}
Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.