\(\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{2}{3}+\dfrac{2}{3}\)
\(=\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(\dfrac{2}{5}+\dfrac{2}{3}\right)\)
\(=\dfrac{3}{3}+\dfrac{16}{15}\)
\(=1+\dfrac{16}{15}\)
\(=\dfrac{15}{15}+\dfrac{16}{15}\)
\(=\dfrac{31}{15}\)
\(\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{2}{3}+\dfrac{2}{3}=\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\dfrac{2}{5}+\dfrac{2}{3}=1+\dfrac{2}{5}+\dfrac{2}{3}=\dfrac{5}{3}+\dfrac{2}{5}=\dfrac{5\times5+2\times3}{15}=\dfrac{31}{15}\)