Math Problem Solver

\[\frac{18.4}{2.2} = \frac{92}{11} = 8.\overline{36}\]

\[\begin{aligned}\frac{18.4}{2.2}& = \left(18 + \frac{4}{10}\right) \cdot \frac{1}{2 + \frac{2}{10}}\\& = \left(18 + \frac{2}{5}\right) \cdot \frac{1}{2 + \frac{2}{10}}\\& = \frac{92}{5} \cdot \frac{1}{2 + \frac{2}{10}}\\& = \frac{92}{5} \cdot \frac{1}{2 + \frac{1}{5}}\\& = \frac{92}{5} \cdot \frac{1}{\frac{11}{5}}\\& = \frac{92}{11}\end{aligned}\]