Solve Fraction Division: 1/2 ÷ 3/5 Step-by-Step

Complete the following exercise:

$\frac{1}{2}:\frac{3}{5}=\text{?}$

Video Solution

Solution Steps

00:00 Solve

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

00:09 We'll swap between the numerator and denominator of the fraction

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

00:19 Calculate the multiplications

00:22 And this is the solution to the question

Step-by-Step Solution

To solve the division $\frac{1}{2} \div \frac{3}{5}$ , we will follow the multiplication by the reciprocal method. Here are the steps:

Step 1: Find the reciprocal of the divisor $\frac{3}{5}$ , which is $\frac{5}{3}$ .
Step 2: Multiply the dividend $\frac{1}{2}$ by the reciprocal found in Step 1: $\frac{1}{2} \times \frac{5}{3}$ .
Step 3: Multiply the numerators: $1 \times 5 = 5$ .
Step 4: Multiply the denominators: $2 \times 3 = 6$ .
Step 5: Combine the results to form the fraction $\frac{5}{6}$ .

The simplified result of $\frac{1}{2} \div \frac{3}{5}$ is $\frac{5}{6}$ .