Вычислите: 2 4/9 : (2/3 − 2/7).

\[2\frac49=\frac{22}{9},\qquad \frac23-\frac27=\frac{14}{21}-\frac6{21}=\frac8{21}.\]

\[\frac{22}{9}:\frac8{21}=\frac{22}{9}\cdot\frac{21}{8}=\frac{77}{12}=6\frac5{12}.\]

Ответ: \(6\frac5{12}\).