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

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 $\frac{6}{7}$.