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\frac{8}{15}\times \frac{6}{5}
Divide \frac{8}{15} by \frac{5}{6} by multiplying \frac{8}{15} by the reciprocal of \frac{5}{6}.
\frac{8\times 6}{15\times 5}
Multiply \frac{8}{15} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{48}{75}
Do the multiplications in the fraction \frac{8\times 6}{15\times 5}.
\frac{16}{25}
Reduce the fraction \frac{48}{75} to lowest terms by extracting and canceling out 3.