59/15 divide by (39/5-35/6)+9/7
You asked:
Evaluate the expression: \(\frac{\frac{59}{15}}{\frac{39}{5} - \frac{35}{6}} + \frac{9}{7}\)
MathBot Answer:
\[\frac{\frac{59}{15}}{\frac{39}{5} - \frac{35}{6}} + \frac{9}{7} = \frac{23}{7} = 3.\overline{285714}\]
\[\begin{aligned}\frac{\frac{59}{15}}{\frac{39}{5} - \frac{35}{6}} + \frac{9}{7}& = \frac{59}{15} \cdot \frac{1}{\frac{39}{5} - \frac{35}{6}} + \frac{9}{7}\\& = \frac{59}{15} \cdot \frac{1}{\frac{59}{30}} + \frac{9}{7}\\& = 2 + \frac{9}{7}\\& = \frac{23}{7}\end{aligned}\]