Make a estimate and it’s adding fractions and mixed numbers

From the problem, we have :
[tex]6\frac{1}{3}+2\frac{1}{6}[/tex]The common denominator will be the product which is 3 x 6 = 18.
Using the multiplication rule for equivalent fractions, it will be :
[tex]\begin{gathered} \frac{1}{3}\times\frac{6}{6}=\frac{6}{18}\rightarrow6\frac{6}{18} \\ \frac{1}{6}\times\frac{3}{3}=\frac{3}{18}\rightarrow2\frac{3}{18} \end{gathered}[/tex]The add the results,
[tex]6\frac{6}{18}+2\frac{3}{18}=8\frac{9}{18}[/tex]Estimate : 8 9/18
Next is to simplify the fraction.
The numerator 9 and the denominator 18 can be divided by 9
So this will be :
[tex]\frac{9}{18}=\frac{9\div9}{18\div9}=\frac{1}{2}[/tex]The answer will be : 8 1/2