2×22/7×5.5
You asked:
Evaluate the expression: \(\frac{2 \cdot 22}{7} \cdot 5.5\)
MathBot Answer:
\[\frac{2 \cdot 22}{7} \cdot 5.5 = \frac{242}{7} = 34.\overline{571428}\]
\[\begin{aligned}\frac{2 \cdot 22}{7} \cdot 5.5& = 2 \cdot \frac{22}{7} \cdot \left(5 + \frac{5}{10}\right)\\& = 2 \cdot \frac{22}{7} \cdot \left(5 + \frac{1}{2}\right)\\& = 2 \cdot \frac{22}{7} \cdot \frac{11}{2}\\& = \frac{44}{7} \cdot \frac{11}{2}\\& = \frac{242}{7}\end{aligned}\]