-4/5 divided by -3+4 divided by 4/5-3/6 divided by 1/2
You asked:
Evaluate the expression: \(\frac{\frac{-4}{5}}{-3} + \frac{4}{\frac{4}{5}} - \frac{\frac{3}{6}}{\frac{1}{2}}\)
MathBot Answer:
\[\frac{\frac{-4}{5}}{-3} + \frac{4}{\frac{4}{5}} - \frac{\frac{3}{6}}{\frac{1}{2}} = \frac{64}{15} = 4.2\overline{6}\]
\[\begin{aligned}\frac{\frac{-4}{5}}{-3} + \frac{4}{\frac{4}{5}} - \frac{\frac{3}{6}}{\frac{1}{2}}& = - \frac{4}{5} \cdot \frac{1}{-3} + 4 \cdot \frac{1}{\frac{4}{5}} - \frac{3}{6} \cdot \frac{1}{\frac{1}{2}}\\& = \frac{4}{15} + 4 \cdot \frac{1}{\frac{4}{5}} - \frac{3}{6} \cdot \frac{1}{\frac{1}{2}}\\& = \frac{4}{15} + 5 - \frac{3}{6} \cdot \frac{1}{\frac{1}{2}}\\& = \frac{4}{15} + 5 - \frac{3}{3}\\& = \frac{4}{15} + 5 - 1\\& = \frac{79}{15} - 1\\& = \frac{64}{15}\end{aligned}\]