9/2+7/2รท7/112
You asked:
Evaluate the expression: \(\frac{9}{2} + \frac{\frac{\frac{7}{2}}{7}}{112}\)
MathBot Answer:
\[\frac{9}{2} + \frac{\frac{\frac{7}{2}}{7}}{112} = \frac{1009}{224} = 4.50446\overline{428571}\]
\[\begin{aligned}\frac{9}{2} + \frac{\frac{\frac{7}{2}}{7}}{112}& = \frac{9}{2} + \frac{7}{2} \cdot \frac{1}{7} \cdot \frac{1}{112}\\& = \frac{9}{2} + \frac{7}{2} \cdot \frac{1}{784}\\& = \frac{9}{2} + \frac{1}{224}\\& = \frac{1009}{224}\end{aligned}\]