Solve the bracket

According to the BODMAS rule, first solve the expression inside the parentheses: $\frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1$.

$\frac{2}{3} + \frac{1}{3} = 1$

Perform multiplication

Next, multiply the result from the previous step by 23: $1 \times 23 = 23$.

$1 \times 23 = 23$

Complete addition and subtraction

Finally, perform the addition and subtraction: $23 - 13 + 9$. Applying left to right rule: $23 - 13 = 10$, and $10 + 9 = 19$.

$23 - 13 + 9 = 19$