4/5*(-2/3)-2/5*1/3+3/5*4/5

asked by guest
on Sep 19, 2024 at 10:42 pm



You asked:

Evaluate the expression: \(\frac{4}{5} \cdot \frac{-2}{3} - \frac{\frac{2}{5} \cdot 1}{3} + \frac{\frac{3}{5} \cdot 4}{5}\)

MathBot Answer:

\[\frac{4}{5} \cdot \frac{-2}{3} - \frac{\frac{2}{5} \cdot 1}{3} + \frac{\frac{3}{5} \cdot 4}{5} = - \frac{14}{75} = -0.18\overline{6}\]

\[\begin{aligned}\frac{4}{5} \cdot \frac{-2}{3} - \frac{\frac{2}{5} \cdot 1}{3} + \frac{\frac{3}{5} \cdot 4}{5}& = \frac{4}{5} \cdot - \frac{2}{3} - \frac{2}{5} \cdot \frac{1}{3} + \frac{3}{5} \cdot \frac{4}{5}\\& = - \frac{8}{15} - \frac{2}{5} \cdot \frac{1}{3} + \frac{3}{5} \cdot \frac{4}{5}\\& = - \frac{8}{15} - \frac{2}{15} + \frac{3}{5} \cdot \frac{4}{5}\\& = - \frac{8}{15} - \frac{2}{15} + \frac{12}{25}\\& = - \frac{2}{3} + \frac{12}{25}\\& = - \frac{14}{75}\end{aligned}\]

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