Solve Fraction Division: 1/2 ÷ 1/4 Step-by-Step

Complete the following exercise:

$\frac{1}{2}:\frac{1}{4}=\text{?}$

To solve the division of two fractions $\frac{1}{2} : \frac{1}{4}$, follow these steps:

• Step 1: Identify the operation: The problem involves dividing $\frac{1}{2}$ by $\frac{1}{4}$.
• Step 2: Use the reciprocal: In fraction division, multiply by the reciprocal of the second fraction. Thus, $\frac{1}{2} : \frac{1}{4} = \frac{1}{2} \times \frac{4}{1}$.
• Step 3: Perform the multiplication: Now compute the multiplication by multiplying the numerators and the denominators: $\frac{1 \times 4}{2 \times 1} = \frac{4}{2}$.
• Step 4: Simplify the fraction: The fraction $\frac{4}{2}$ simplifies to $2$.

Thus, the solution to the division $\frac{1}{2} : \frac{1}{4}$ is $2$. Therefore, the correct answer choice is $2$ (Choice 1).