Найдите значение выражения \(\dfrac{4,4}{\dfrac{1}{6}-2}\).

\(\dfrac{1}{6}-2=\dfrac{1}{6}-\dfrac{12}{6}=-\dfrac{11}{6}\).

\(4,4=\dfrac{22}{5}\), поэтому

\[\dfrac{4,4}{\dfrac{1}{6}-2}=\dfrac{22}{5}:\left(-\dfrac{11}{6}\right)=\dfrac{22}{5}\cdot\left(-\dfrac{6}{11}\right)=-\dfrac{12}{5}=-2,4.\]

Ответ: \(-2,4\).