-1/2+4/3*-1/2+1
You asked:
Evaluate the expression: \(\frac{-1}{2} + \frac{\frac{4}{3} \cdot -1}{2} + 1\)
MathBot Answer:
\[\frac{-1}{2} + \frac{\frac{4}{3} \cdot -1}{2} + 1 = - \frac{1}{6} = -0.1\overline{6}\]
\[\begin{aligned}\frac{-1}{2} + \frac{\frac{4}{3} \cdot -1}{2} + 1& = - \frac{1}{2} + \frac{4}{3} \cdot \frac{-1}{2} + 1\\& = - \frac{1}{2} + \frac{4}{3} \cdot - \frac{1}{2} + 1\\& = - \frac{1}{2} - \frac{2}{3} + 1\\& = - \frac{7}{6} + 1\\& = - \frac{1}{6}\end{aligned}\]