(9/2+5/2)÷11/5÷1/5
You asked:
Evaluate the expression: \(\frac{\frac{\frac{\frac{\frac{9}{2} + \frac{5}{2}}{11}}{5}}{1}}{5}\)
MathBot Answer:
\[\frac{\frac{\frac{\frac{\frac{9}{2} + \frac{5}{2}}{11}}{5}}{1}}{5} = \frac{7}{275} = 0.02\overline{54}\]
\[\begin{aligned}\frac{\frac{\frac{\frac{\frac{9}{2} + \frac{5}{2}}{11}}{5}}{1}}{5}& = \left(\frac{9}{2} + \frac{5}{2}\right) \cdot \frac{1}{11} \cdot \frac{1}{5} \cdot 1^{-1} \cdot \frac{1}{5}\\& = \frac{7}{11} \cdot \frac{1}{5} \cdot 1^{-1} \cdot \frac{1}{5}\\& = \frac{7}{11} \cdot \frac{1}{5} \cdot \frac{1}{5}\\& = \frac{7}{55} \cdot \frac{1}{5}\\& = \frac{7}{275}\end{aligned}\]