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

00:04 Let's solve this problem step by step.

00:07 Here's a helpful tip: instead of dividing, we can multiply by the reciprocal, which makes things easier.

00:14 To get the reciprocal, we simply flip the fraction upside down - moving the bottom number to the top, and the top number to the bottom.

00:22 Now, remember this important rule: when multiplying fractions, multiply the top numbers together, and do the same for the bottom numbers.

00:30 Let's work out these multiplications carefully.

00:34 And there we have it! That's our final answer to the problem.

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 $\frac{3}{4}$ .