To find out how many miles Sonny walks after seven days, we need to multiply the distance he walks each day by the number of days.
Sonny walks \( \frac{2}{3} \) of a mile each day. Over seven days, the total distance he walks can be calculated as follows:
\[ \text{Total distance} = \text{Daily distance} \times \text{Number of days} = \frac{2}{3} \times 7 \]
To perform the multiplication:
\[ \frac{2}{3} \times 7 = \frac{2 \times 7}{3} = \frac{14}{3} \]
Now we can convert \( \frac{14}{3} \) into a mixed number:
\[ \frac{14}{3} = 4 \frac{2}{3} \]
Thus, after seven days, Sonny walks a total of \( \frac{14}{3} \) miles, which is also \( 4 \frac{2}{3} \) miles.
Therefore, the final answer is:
\[ \frac{14}{3} \text{ miles or } 4 \frac{2}{3} \text{ miles} \]