Evaluate: 7/9+1/3*1/6

Expression: $\frac{7}{9}+\frac{1}{3}\cdot \frac{1}{6}$

$\frac{1}{3}\cdot \frac{1}{6}=\frac{1}{18}$

$=\frac{7}{9}+\frac{1}{18}$ $=\frac{14}{18}+\frac{1}{18}$

Apply the fraction rule $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{14+1}{18}$

Add the numbers: $ 14+1=15$

$=\frac{15}{18}$

Cancel $\frac{15}{18}:{\quad}\frac{5}{6}$

$=\frac{5}{6}$