Compare Fractions: Determine the Relation Between 1/2 and 2/4

To solve the problem, we begin by comparing the fractions $\frac{1}{2}$ and $\frac{2}{4}$. We will simplify $\frac{2}{4}$ to see if it is equivalent to $\frac{1}{2}$.

Let's simplify $\frac{2}{4}$. We do this by finding the greatest common divisor (GCD) of 2 and 4, which is 2. We then divide both the numerator and the denominator by 2:

$\frac{2 \div 2}{4 \div 2} = \frac{1}{2}$

Now, we see that $\frac{2}{4}$ simplifies to $\frac{1}{2}$.

Since $\frac{2}{4}$ simplifies to $\frac{1}{2}$, the two fractions are equivalent.

Therefore, we fill in the missing sign with an equals sign:

$=$