To find out how many more acres Jen harvested than Cooper, we need to subtract the amount Cooper harvested from the amount Jen harvested.
Jen harvested \( \frac{5}{8} \) of an acre and Cooper harvested \( \frac{1}{2} \) of an acre. First, we need to convert \( \frac{1}{2} \) into a fraction with the same denominator as \( \frac{5}{8} \).
The denominator of \( \frac{1}{2} \) can be changed to 8 by multiplying both the numerator and the denominator by 4:
\[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]
Now we can subtract \( \frac{4}{8} \) from \( \frac{5}{8} \):
\[ \frac{5}{8} - \frac{4}{8} = \frac{5 - 4}{8} = \frac{1}{8} \]
Therefore, Jen harvested \( \frac{1}{8} \) of an acre more than Cooper.
The final answer is:
\[ \frac{1}{8} \]