\(\dfrac{2}{3}\times\left(\dfrac{1}{2}+\dfrac{1}{3}\right)\)
\(=\dfrac{2}{3}\times\left(\dfrac{3}{6}+\dfrac{2}{6}\right)\)
\(=\dfrac{2}{3}\times\dfrac{5}{6}\)
\(=\dfrac{1\times5}{3\times3}\)
\(=\dfrac{5}{9}\)
\(\dfrac{5}{7}-\dfrac{2}{5}:\dfrac{11}{7}\)
\(=\dfrac{5}{7}-\dfrac{2}{5}.\dfrac{7}{11}\)
\(=\dfrac{5}{7}-\dfrac{14}{55}\)
\(=\dfrac{275}{385}-\dfrac{98}{385}\)
\(=\dfrac{275-98}{385}\)
\(=\dfrac{177}{385}\)