Verified Answer :

\(7 \frac{2}{15 } + 5 \frac{2}{3} + 9 \frac{3}{15}\)

Convert mixed number to improper fraction.

\(\frac{107}{15} + \frac{17}{3} + \frac{148}{15}\)

Then change all the denominators into a same number

\(\frac{107}{15} + \frac{85}{15} + \frac{148}{15}\)

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

\(\frac{107+85+148}{15} = \frac{340}{15}\)

Change the improper fraction back into a mixed number..

\(22 \frac{10}{15}\) I see that we can still simplify the fraction.. 

\(22 \frac{10}{15} = 22 \frac{2}{3}\)

Your final answer is C. \(22 \frac{2}{3}\)