2/9*11/6*5/6
You asked:
Evaluate the expression: \(\frac{\frac{\frac{2}{9} \cdot 11}{6} \cdot 5}{6}\)
MathBot Answer:
\[\frac{\frac{\frac{2}{9} \cdot 11}{6} \cdot 5}{6} = \frac{55}{162} = 0.3\overline{395061728}\]
\[\begin{aligned}\frac{\frac{\frac{2}{9} \cdot 11}{6} \cdot 5}{6}& = \frac{2}{9} \cdot \frac{11}{6} \cdot \frac{5}{6}\\& = \frac{22}{9} \cdot \frac{1}{6} \cdot \frac{5}{6}\\& = \frac{11}{27} \cdot \frac{5}{6}\\& = \frac{55}{162}\end{aligned}\]