2/3รท(5/6-4/9)+7/8
You asked:
Evaluate the expression: \(\frac{\frac{2}{3}}{\frac{5}{6} - \frac{4}{9}} + \frac{7}{8}\)
MathBot Answer:
\[\frac{\frac{2}{3}}{\frac{5}{6} - \frac{4}{9}} + \frac{7}{8} = \frac{145}{56} = 2.589\overline{285714}\]
\[\begin{aligned}\frac{\frac{2}{3}}{\frac{5}{6} - \frac{4}{9}} + \frac{7}{8}& = \frac{2}{3} \cdot \frac{1}{\frac{5}{6} - \frac{4}{9}} + \frac{7}{8}\\& = \frac{2}{3} \cdot \frac{1}{\frac{7}{18}} + \frac{7}{8}\\& = \frac{12}{7} + \frac{7}{8}\\& = \frac{145}{56}\end{aligned}\]