\(\left(\frac{1}{2}+\frac{4}{5}-\frac{4}{3}\right)\cdot\left(\frac{23}{10}+\frac{107}{25}-\frac{18}{10}\right)\)
\(=\left(\frac{15}{30}+\frac{24}{30}-\frac{40}{30}\right)\cdot\left(\frac{230}{100}+\frac{428}{100}-\frac{180}{100}\right)\)
\(=-\frac{1}{30}\cdot\frac{11}{2}\)
\(=-\frac{11}{60}\)