Math Problem Solver

\[\frac{-35}{52.5} = - \frac{2}{3} = -0.\overline{6}\]

\[\begin{aligned}\frac{-35}{52.5}& = -35 \cdot \frac{1}{52 + \frac{5}{10}}\\& = -35 \cdot \frac{1}{52 + \frac{1}{2}}\\& = -35 \cdot \frac{1}{\frac{105}{2}}\\& = - \frac{2}{3}\end{aligned}\]