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

Video Solution

Solution Steps

00:00 Solve

00:03 Instead of division, we'll use multiplication by the reciprocal

00:08 We'll swap the numerator and denominator of the fraction

00:13 Make sure to multiply numerator by numerator and denominator by denominator

00:18 Calculate the multiplications

00:21 Calculate the quotient

00:23 And this is the solution to the question

Step-by-Step Solution

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).