ANSWER
11 1/6 or 11.17
EXPLANATION
We want to simplify the expressions given:
[tex]6\frac{1}{2}\div3+9[/tex]To do this, we follow BODMAS and solve the division first:
[tex]\begin{gathered} \frac{6\frac{1}{2}}{3}+9 \\ =\frac{\frac{13}{2}}{3}+9 \\ =\frac{13}{6}+9 \end{gathered}[/tex]Now, add:
[tex]\begin{gathered} 2\frac{1}{6}+9 \\ =11\frac{1}{6}or\text{ 11.17} \end{gathered}[/tex]That is the simplification.