Solve the Fraction Division: 2/4 ÷ 4/3 Step-by-Step

Complete the following exercise:

$\frac{2}{4}:\frac{4}{3}=\text{?}$

Video Solution

Solution Steps

00:00 Solve

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

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

00:15 Make sure to multiply numerator by numerator and denominator by denominator

00:21 Calculate the multiplications

00:24 Reduce the fraction as much as possible

00:27 Make sure to divide both numerator and denominator

00:30 Calculate the quotients

00:34 And this is the solution to the question

Step-by-Step Solution

To find the result of dividing $\frac{2}{4}$ by $\frac{4}{3}$ , follow these steps:

Step 1: Simplify the fraction $\frac{2}{4}$ . This becomes $\frac{1}{2}$ because both the numerator and the denominator can be divided by 2.
Step 2: Find the reciprocal of the fraction $\frac{4}{3}$ . The reciprocal is $\frac{3}{4}$ because it exchanges the numerator and the denominator.
Step 3: Multiply $\frac{1}{2}$ by $\frac{3}{4}$ . $\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}$
Step 4: The result is $\frac{3}{8}$ , which is already in its simplest form.

Therefore, the solution to the problem $\frac{2}{4}:\frac{4}{3}$ is $\frac{3}{8}$ .