[-8×2/7+11]/2/7+1
You asked:
Evaluate the expression: \(\frac{\frac{\frac{-8 \cdot 2}{7} + 11}{2}}{7} + 1\)
MathBot Answer:
\[\frac{\frac{\frac{-8 \cdot 2}{7} + 11}{2}}{7} + 1 = \frac{159}{98} = 1.6\overline{224489795918367346938775510204081632653061}\]
\[\begin{aligned}\frac{\frac{\frac{-8 \cdot 2}{7} + 11}{2}}{7} + 1& = \left(-8 \cdot \frac{2}{7} + 11\right) \cdot \frac{1}{2} \cdot \frac{1}{7} + 1\\& = \left(- \frac{16}{7} + 11\right) \cdot \frac{1}{2} \cdot \frac{1}{7} + 1\\& = \frac{61}{7} \cdot \frac{1}{2} \cdot \frac{1}{7} + 1\\& = \frac{61}{7} \cdot \frac{1}{14} + 1\\& = \frac{61}{98} + 1\\& = \frac{159}{98}\end{aligned}\]