Ответ:

\(2\dfrac{6}{25}=\dfrac{56}{25},\quad 4\dfrac{2}{3}=\dfrac{14}{3}\)

\(\dfrac{56}{25}:\dfrac{14}{3}=\dfrac{56}{25}\cdot\dfrac{3}{14}=\dfrac{12}{25}\)

Ответ: \(\dfrac{12}{25}\)