Evaluate the value of expression.
[tex]\begin{gathered} 1\frac{1}{6}\cdot2\frac{2}{7}=\frac{1\cdot6+1}{6}\cdot\frac{2\cdot7+2}{7} \\ =\frac{7}{6}\cdot\frac{16}{7} \\ =\frac{16}{6} \\ =\frac{8}{3} \\ =2\frac{2}{3} \end{gathered}[/tex]So answer is 8/3 or 2 2/3.