Solve Fraction Division: 3/7 ÷ 3/6 Step-by-Step

Question

Complete the following exercise:

$\frac{3}{7}:\frac{3}{6}=\text{?}$

00:00 Solve

00:03 Instead of division, use multiplication by reciprocal

00:08 Flip between the numerator and denominator of the fraction

00:14 Make sure to multiply numerator by numerator and denominator by denominator

00:19 Calculate the multiplications

00:23 Reduce the fraction as much as possible

00:26 Make sure to divide both numerator and denominator

00:29 Calculate the quotients

00:32 And this is the solution to the question

To solve the problem $\frac{3}{7} \div \frac{3}{6}$ , we'll perform division of fractions by multiplying with the reciprocal:

Step 1: Identify the reciprocal of the second fraction, $\frac{3}{6}$ . The reciprocal is $\frac{6}{3}$ .
Step 2: Multiply the first fraction, $\frac{3}{7}$ , by the reciprocal of the second fraction, $\frac{6}{3}$ :

$\frac{3}{7} \times \frac{6}{3} = \frac{3 \times 6}{7 \times 3}$

Step 3: Simplify the fraction $\frac{18}{21}$ . Notice that both the numerator and the denominator are divisible by 3.

$\frac{18}{21} = \frac{18 \div 3}{21 \div 3} = \frac{6}{7}$

Therefore, the solution to the problem is $\frac{6}{7}$ .

$\frac{6}{7}$