To solve \(11 \times \left(\frac{7}{6} + \frac{2}{3}\right)\), follow these steps:
Find a common denominator for the fractions \(\frac{7}{6}\) and \(\frac{2}{3}\). The common denominator is 6.
Rewrite \(\frac{2}{3}\) as \(\frac{4}{6}\).
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 \(\frac{121}{6}\).