Answer
The point on the number line halfway between $0$ and $\frac{1}{2}$ can be represented by $\frac{1}{4}$.
Work Step by Step
The difference of $0$ and $\frac {1}{2}$ is
$\frac{1}{2} - 0$
= $\frac{1}{2}$
Half of this is
$\frac{1}{2} \div 2$
$= \frac{1}{4}$