Solve Fraction Division: 2/3 ÷ 7/5 Step-by-Step

Question

Complete the following exercise:

$\frac{2}{3}:\frac{7}{5}=\text{?}$

00:05 Let's solve this problem together.

00:08 Here's a helpful tip: instead of dividing, we can multiply by the reciprocal. This makes things easier!

00:15 To find the reciprocal, we simply flip the fraction upside down - switch the numerator and denominator.

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 step by step.

00:34 And there we have it! That's our final answer. Great job following along!

To solve this problem, we'll use the reciprocal method for dividing fractions.

Step 1: Identify the reciprocal of the divisor.
The reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$ .

Step 2: Multiply the dividend by the reciprocal of the divisor.
Multiply $\frac{2}{3}$ by $\frac{5}{7}$ :

$\frac{2}{3} \times \frac{5}{7} = \frac{2 \times 5}{3 \times 7} = \frac{10}{21}$

There is no common factor between 10 and 21 other than 1, meaning $\frac{10}{21}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{10}{21}$ .

$\frac{10}{21}$