Solve the Fraction Division: 6/4 ÷ 2 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Convert the division into a multiplication problem.
• Step 2: Simplify the result, if necessary.

Now, let's work through each step:
Step 1: We need to divide $\frac{6}{4}$ by 2. We can represent this as:

$\frac{6}{4} \div 2 = \frac{6}{4} \times \frac{1}{2}$

This converts the division into a multiplication problem by using the reciprocal of 2, which is $\frac{1}{2}$.

Step 2: Multiply the fractions:

$\frac{6 \times 1}{4 \times 2} = \frac{6}{8}$

Step 3: Simplify the fraction $\frac{6}{8}$:
To simplify $\frac{6}{8}$, divide both the numerator and the denominator by their greatest common divisor, which is 2:

$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$

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