Solve Fraction Division: 6/7 ÷ 2 Step-by-Step

To solve the problem $\frac{6}{7} \div 2$, we need to remember how to divide a fraction by a whole number:

Step 1: Convert the division problem into a multiplication problem by multiplying by the reciprocal of the whole number. The reciprocal of 2 is $\frac{1}{2}$.

Step 2: Therefore, we rewrite the problem as $\frac{6}{7} \times \frac{1}{2}$.

Step 3: Multiply the numerators together and the denominators together:

$\frac{6 \times 1}{7 \times 2} = \frac{6}{14}$

Step 4: Simplify the fraction $\frac{6}{14}$ by finding the greatest common divisor of 6 and 14, which is 2. Divide both the numerator and the denominator by 2:

$\frac{6 \div 2}{14 \div 2} = \frac{3}{7}$

Therefore, the solution to the problem is $\frac{3}{7}$.