(2/9รท 1/3+1/2)x 2/5-1/5

asked by guest
on Jan 15, 2025 at 5:59 am



You asked:

Evaluate the expression: \(\frac{\left(\frac{\frac{\frac{2}{9}}{1}}{3} + \frac{1}{2}\right) \cdot 2}{5} - \frac{1}{5}\)

MathBot Answer:

\[\frac{\left(\frac{\frac{\frac{2}{9}}{1}}{3} + \frac{1}{2}\right) \cdot 2}{5} - \frac{1}{5} = \frac{4}{135} = 0.0\overline{296}\]

\[\begin{aligned}\frac{\left(\frac{\frac{\frac{2}{9}}{1}}{3} + \frac{1}{2}\right) \cdot 2}{5} - \frac{1}{5}& = \left(\frac{2}{9} \cdot 1^{-1} \cdot \frac{1}{3} + \frac{1}{2}\right) \cdot \frac{2}{5} - \frac{1}{5}\\& = \left(\frac{2}{9} \cdot \frac{1}{3} + \frac{1}{2}\right) \cdot \frac{2}{5} - \frac{1}{5}\\& = \left(\frac{2}{27} + \frac{1}{2}\right) \cdot \frac{2}{5} - \frac{1}{5}\\& = \frac{31}{54} \cdot \frac{2}{5} - \frac{1}{5}\\& = \frac{31}{135} - \frac{1}{5}\\& = \frac{4}{135}\end{aligned}\]

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