TeX Quellcode:
\begin{array}{rcl} \dfrac{n-2}{n\cdot n+5n} : \dfrac{3n-6}{10n} &=& \dfrac{n-2}{n\cdot n+5n} \cdot \dfrac{10n}{3n-6} \cr \cr &=& \dfrac{n-2}{n\left(n+5\right)} \cdot \dfrac{10n} {3\left(n-2\right)} \cr \cr &=& \dfrac{1}{n+5} \cdot \dfrac{10}{3} \cr \cr &=& \dfrac{10}{3\left(n +5\right)} \end{array}