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\frac{5}{8}\times \frac{16}{15}
Divide \frac{5}{8} by \frac{15}{16} by multiplying \frac{5}{8} by the reciprocal of \frac{15}{16}.
\frac{5\times 16}{8\times 15}
Multiply \frac{5}{8} times \frac{16}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{80}{120}
Do the multiplications in the fraction \frac{5\times 16}{8\times 15}.
\frac{2}{3}
Reduce the fraction \frac{80}{120} to lowest terms by extracting and canceling out 40.