To solve the expression \(11 \times \left( \frac{7}{6} + \frac{2}{3} \right)\), follow these steps:
Find a common denominator for the fractions \(\frac{7}{6}\) and \(\frac{2}{3}\).
The common denominator is 6.
Convert \(\frac{2}{3}\) to have a denominator of 6:
\[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \]
Add the fractions:
\[ \frac{7}{6} + \frac{4}{6} = \frac{11}{6} \]
Multiply by 11:
\[ 11 \times \frac{11}{6} = \frac{121}{6} \]
So, the result is \(\frac{121}{6}\) or 20.1667 (approximately).