\(\dfrac{5}{8}:3\times\dfrac{24}{25}=\dfrac{5}{8}\times3\times\dfrac{24}{25}=1\times1\times\dfrac{1}{5}=\dfrac{1}{5}\)
\(=\dfrac{5}{8}\times\dfrac{1}{3}\times\dfrac{24}{25}\)
\(=\dfrac{5\times1\times24}{8\times3\times25}\)
\(=\dfrac{5\times1\times8\times3}{8\times3\times5\times5}=\dfrac{1}{5}\)