4) \((5\frac{1}{6}-6\frac{1}{4})\cdot(3\frac{1}{4}-0,55)\)

\[\left(5\frac{1}{6}-6\frac{1}{4}\right)\cdot\left(3\frac{1}{4}-0,55\right)=\left(\frac{31}{6}-\frac{25}{4}\right)\cdot\left(\frac{13}{4}-\frac{11}{20}\right)\]

\[=\left(\frac{62}{12}-\frac{75}{12}\right)\cdot\left(\frac{65}{20}-\frac{11}{20}\right)=\left(-\frac{13}{12}\right)\cdot\frac{54}{20}\]

\[=-\frac{13}{12}\cdot\frac{27}{10}=-\frac{117}{40}=-2\frac{37}{40}\]

Ответ: \(-2\frac{37}{40}\).