\(\dfrac{8}{15}+\dfrac{4}{15}:\dfrac{2}{5}=\dfrac{8}{15}+\dfrac{4}{15}\times\dfrac{5}{2}=\dfrac{8}{15}+\dfrac{4\times5}{15\times2}=\dfrac{8}{15}+\dfrac{2}{3}=\dfrac{8}{15}+\dfrac{10}{15}=\dfrac{18}{15}=\dfrac{6}{5}\)
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\(\dfrac{8}{15}+\dfrac{4}{15}:\dfrac{2}{5}\)
\(=\dfrac{8}{15}+\left(\dfrac{4}{15}:\dfrac{2}{5}\right)\)
\(=\dfrac{8}{15}+\left(\dfrac{4}{15}X\dfrac{5}{2}\right)\)
\(=\dfrac{8}{15}+\dfrac{20}{30}\)
\(=\dfrac{8X2}{15X2}+\dfrac{20}{30}\)
\(=\dfrac{16}{30}+\dfrac{20}{30}\)
\(=\dfrac{36}{30}\)
\(=\dfrac{6}{5}\)
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