Solve the Fraction Division: 1/4 ÷ □ = 1/2

To solve this problem, we need to determine the number that, when $\frac{1}{4}$ is divided by it, results in $\frac{1}{2}$. This can be set up as:

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

To solve for $x$, recall that dividing by a number is the same as multiplying by its reciprocal. Thus, we can rewrite the equation:

$\frac{1}{4} \times \frac{1}{x} = \frac{1}{2}$

Now, we can set the numerators equal to each other, recognizing that the denominators are $1$ when multiplied:

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

To solve for $x$, we equate this expression by removing fractions through cross multiplication:

$1 \times 2 = 1 \times 4x$

$2 = 4x$

Divide both sides by 4 to isolate $x$:

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

Therefore, the missing number is $\frac{1}{2}$.