To simplify the fraction \( \frac{24}{64} \), you need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (64).
The GCD of 24 and 64 is 8.
Now, divide both the numerator and the denominator by 8:
\[ \frac{24 \div 8}{64 \div 8} = \frac{3}{8} \]
Thus, the simplified fraction is \( \frac{3}{8} \).