Math Problem Solver

\[\frac{22.5}{6.8} = \frac{225}{68} = 3.30\overline{8823529411764705}\]

\[\begin{aligned}\frac{22.5}{6.8}& = \left(22 + \frac{5}{10}\right) \cdot \frac{1}{6 + \frac{8}{10}}\\& = \left(22 + \frac{1}{2}\right) \cdot \frac{1}{6 + \frac{8}{10}}\\& = \frac{45}{2} \cdot \frac{1}{6 + \frac{8}{10}}\\& = \frac{45}{2} \cdot \frac{1}{6 + \frac{4}{5}}\\& = \frac{45}{2} \cdot \frac{1}{\frac{34}{5}}\\& = \frac{225}{68}\end{aligned}\]