2 1/2 * 3/5 / 1/2-1/5
You asked:
Evaluate the expression: \(\frac{\frac{\frac{2\frac{1}{2} \cdot 3}{5}}{1}}{2} - \frac{1}{5}\)
MathBot Answer:
\[\frac{\frac{\frac{2\frac{1}{2} \cdot 3}{5}}{1}}{2} - \frac{1}{5} = \frac{11}{20} = 0.55\]
\[\begin{aligned}\frac{\frac{\frac{2\frac{1}{2} \cdot 3}{5}}{1}}{2} - \frac{1}{5}& = 2\frac{1}{2} \cdot \frac{3}{5} \cdot 1^{-1} \cdot \frac{1}{2} - \frac{1}{5}\\& = 2\frac{1}{2} \cdot \frac{3}{5} \cdot \frac{1}{2} - \frac{1}{5}\\& = \frac{15}{2} \cdot \frac{1}{5} \cdot \frac{1}{2} - \frac{1}{5}\\& = \frac{3}{2} \cdot \frac{1}{2} - \frac{1}{5}\\& = \frac{3}{4} - \frac{1}{5}\\& = \frac{11}{20}\end{aligned}\]