\(\frac{8}{11}\cdot\frac{14}{13}+\frac{9}{23}\div\frac{11}{8}-\frac{8}{11}\)
\(=\frac{8}{11}\cdot\frac{14}{13}+\frac{9}{23}\cdot\frac{8}{11}-\frac{8}{11}\)
\(=\frac{8}{11}\cdot\left(\frac{14}{13}+\frac{9}{23}-1\right)\)
\(=\frac{8}{11}\cdot\frac{140}{299}=\frac{1120}{3289}\)