Math Problem Solver

\[\frac{\frac{3}{7} \cdot 8}{9} + \frac{5}{12} - \frac{\frac{\frac{2}{5}}{1}}{3} = \frac{93}{140} = 0.66\overline{428571}\]

\[\begin{aligned}\frac{\frac{3}{7} \cdot 8}{9} + \frac{5}{12} - \frac{\frac{\frac{2}{5}}{1}}{3}& = \frac{3}{7} \cdot \frac{8}{9} + \frac{5}{12} - \frac{2}{5} \cdot 1^{-1} \cdot \frac{1}{3}\\& = \frac{8}{21} + \frac{5}{12} - \frac{2}{5} \cdot 1^{-1} \cdot \frac{1}{3}\\& = \frac{8}{21} + \frac{5}{12} - \frac{2}{5} \cdot \frac{1}{3}\\& = \frac{8}{21} + \frac{5}{12} - \frac{2}{15}\\& = \frac{67}{84} - \frac{2}{15}\\& = \frac{93}{140}\end{aligned}\]