Solve the Fraction Equation: When 1/2 × ? = 1/4

To solve the equation $\frac{1}{2} \times ? = \frac{1}{4}$, we need to find the number that makes this equation true.

Let's perform the operations step-by-step:

• Step 1: Start with the given equation: $\frac{1}{2} \times x = \frac{1}{4}$.
• Step 2: To isolate $x$, divide both sides by $\frac{1}{2}$. This gives us: $x = \frac{1}{4} \div \frac{1}{2}$.
• Step 3: Dividing by a fraction is the same as multiplying by its reciprocal. Thus, we have: $x = \frac{1}{4} \times \frac{2}{1}$.
• Step 4: Multiply the fractions: $x = \frac{1 \times 2}{4 \times 1} = \frac{2}{4}$.
• Step 5: Simplify the fraction: $x = \frac{1}{2}$.

Therefore, the missing number is $\frac{1}{2}$. This matches choice 4 from the given options.