Answer :

[tex]7 \frac{2}{15 } + 5 \frac{2}{3} + 9 \frac{3}{15} [/tex]

Convert mixed number to improper fraction.

[tex] \frac{107}{15} + \frac{17}{3} + \frac{148}{15} [/tex]

Then change all the denominators into a same number

[tex] \frac{107}{15} + \frac{85}{15} + \frac{148}{15} [/tex]

Add all the numerators but let all the denominators be same.

[tex] \frac{107+85+148}{15} = \frac{340}{15} [/tex]

Change the improper fraction back into a mixed number..

[tex]22 \frac{10}{15} [/tex] I see that we can still simplify the fraction.. 

[tex]22 \frac{10}{15} = 22 \frac{2}{3} [/tex]

Your final answer is C. [tex]22 \frac{2}{3} [/tex]