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\frac{8}{15}\times \frac{5}{4}
Divide \frac{8}{15} by \frac{4}{5} by multiplying \frac{8}{15} by the reciprocal of \frac{4}{5}.
\frac{8\times 5}{15\times 4}
Multiply \frac{8}{15} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{40}{60}
Do the multiplications in the fraction \frac{8\times 5}{15\times 4}.
\frac{2}{3}
Reduce the fraction \frac{40}{60} to lowest terms by extracting and canceling out 20.