Respuesta :

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