Преобразуем числа: \(-2\frac12=-2.5\), \(1\frac23=\frac53\), \(2.5=\frac52\).
\[\frac53:2.5=\frac53:\frac52=\frac53\cdot\frac25=\frac23.\]
Тогда:
\[4.05-(-2.5)\left(\frac23-3\right)=4.05-(-2.5)\left(-\frac73\right).\]
\[4.05-\frac{35}{6}=\frac{81}{20}-\frac{35}{6}=\frac{243-350}{60}=-\frac{107}{60}=-1\frac{47}{60}.\]
Ответ: \(-1\frac{47}{60}\).