Solve Fraction Division: 1/2 ÷ 2/3 Step-by-Step

Complete the following exercise:

$\frac{1}{2}:\frac{2}{3}=\text{?}$

Video Solution

Solution Steps

00:00 Solve

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

00:09 Flip between the numerator and denominator of the fraction

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

00:17 Calculate the multiplications

00:20 And this is the solution to the question

Step-by-Step Solution

To solve the division of fractions problem $\frac{1}{2} \div \frac{2}{3}$ , we follow these steps:

Step 1: Rewrite the division problem as multiplication by the reciprocal: $\frac{1}{2} \div \frac{2}{3}$ becomes $\frac{1}{2} \times \frac{3}{2}$ .
Step 2: Multiply the numerators together: $1 \times 3 = 3$ .
Step 3: Multiply the denominators together: $2 \times 2 = 4$ .
Step 4: Form the new fraction from the resulting numerator and denominator: $\frac{3}{4}$ .

Thus, the result of dividing $\frac{1}{2}$ by $\frac{2}{3}$ is $\frac{3}{4}$ .

The correct answer is $\frac{3}{4}$ .