\(\left(\frac{-2}{11}:\frac{5}{12}+\frac{-9}{11}:\frac{5}{12}\right).\frac{5}{\left(-2\right)^2}\)
\(=\left(\frac{-2}{11}.\frac{12}{5}+\frac{-9}{11}.\frac{12}{5}\right).\frac{5}{4}\)
\(=\left[\frac{12}{5}.\left(\frac{-2}{11}+\frac{-9}{11}\right)\right].\frac{5}{4}\)
\(=\frac{12}{5}.\left(-1\right).\frac{5}{4}\)
\(=\frac{-12}{5}.\frac{5}{4}\)
\(=-3\)