To divide fractions, you multiply by the reciprocal of the second fraction.
So, to divide \( \frac{5}{8} \) by \( \frac{1}{2} \):
\[ \frac{5}{8} \div \frac{1}{2} = \frac{5}{8} \times \frac{2}{1} \]
Now, multiply the fractions:
\[ \frac{5 \times 2}{8 \times 1} = \frac{10}{8} \]
Next, simplify \( \frac{10}{8} \):
\[ \frac{10}{8} = \frac{5}{4} \]
So, \( \frac{5}{8} \div \frac{1}{2} = \frac{5}{4} \) or \( 1.25 \).