In order to make the math easier, I will convert the mixed number into a fraction:
5 [tex] \frac{2}{6} [/tex] becomes [tex] \frac{32}{6} [/tex]
Adding fractions is only possible if the denominator, or the bottom number, of each fraction is the same. We can achieve this by multiplying [tex] \frac{32}{6} [/tex] by 3, and [tex] \frac{4}{9} [/tex] by 2
[tex] \frac{96}{18} + \frac{8}{18} [/tex]
Then you add the top values and get the following fraction:
[tex] \frac{104}{18} [/tex]
Simplifying the fraction gives us:
[tex] \frac{52}{9} [/tex]
Then we convert the fraction back into a mixed number, which gives you the final answer of:
5 [tex] \frac{7}{9} [/tex]
