To solve the expression \(2 + 2 + 4 + 4 + 3 + 2 + 2 + \frac{7}{3}\), follow the order of operations.
First, add the whole numbers:
\[ 2 + 2 = 4\\ 4 + 4 = 8\\ 8 + 3 = 11\\ 11 + 2 = 13\\ 13 + 2 = 15 \]
Now, add the fraction:
\[ 15 + \frac{7}{3} \]
To add this, convert 15 into a fraction:
\[ 15 = \frac{45}{3} \]
Now, add the fractions:
\[ \frac{45}{3} + \frac{7}{3} = \frac{45 + 7}{3} = \frac{52}{3} \]
So, the final answer is:
\[ \frac{52}{3} \approx 17.33 \]
If you want the answer in decimal form, it's approximately \(17.33\).