To find out how many hours the Perry High School track team spent running relays, we first need to determine half of the total practice time, which was 59 hours.
To do this, we calculate:
\[ \frac{1}{2} \times 59 = \frac{59}{2} \]
Now, we can convert \(\frac{59}{2}\) into a mixed number:
- Divide 59 by 2. The result is 29 with a remainder of 1.
- This gives us 29 whole hours and \(\frac{1}{2}\) hour.
So, \(\frac{59}{2}\) can be expressed as:
\[ 29 \frac{1}{2} \]
Thus, the track team spent running relays in practice:
\[ \boxed{29 \frac{1}{2}} \] hours.