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\frac{8}{17}\times \frac{5}{4}
Divide \frac{8}{17} by \frac{4}{5} by multiplying \frac{8}{17} by the reciprocal of \frac{4}{5}.
\frac{8\times 5}{17\times 4}
Multiply \frac{8}{17} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{40}{68}
Do the multiplications in the fraction \frac{8\times 5}{17\times 4}.
\frac{10}{17}
Reduce the fraction \frac{40}{68} to lowest terms by extracting and canceling out 4.