Prealgebra (7th Edition)

$\frac{8}{13}$
Divide and multiply working left to right. $\frac{5}{13}\div\frac{1}{2}\times\frac{4}{5}$ =$\frac{5}{13}\times\frac{2}{1}\times\frac{4}{5}$ =$\frac{10}{13}\times\frac{4}{5}$ =$\frac{40}{65}$ =$\frac{40\div5}{65\div5}$ =$\frac{8}{13}$