Answer
n=25
Work Step by Step
$\frac{24}{n}=\frac{\frac{8}{15}}{\frac{5}{9}}$ $\Rightarrow$ cross multiply to solve for n
$24(\frac{5}{9})=\frac{8}{15}n$ $\Rightarrow$ multiplication property of equality
$24(\frac{5}{9})(\frac{15}{8})=\frac{/\!\!8}{/\!\!\!15}n\times\frac{/\!\!\!15}{/\!\!8}$ $\Rightarrow$ simplify
$(/\!\!3\times/\!\!8)(\frac{5}{/\!\!3\times/\!\!3})(\frac{/\!\!3\times5}{/\!\!8})=n$ $\Rightarrow$ simplify
$25=n$
