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

To solve the division of fractions $\frac{2}{4} : \frac{2}{2}$, follow these steps:

• Step 1: Identify the fractions — the first fraction is $\frac{2}{4}$, and the second fraction is $\frac{2}{2}$.
• Step 2: Find the reciprocal of the second fraction. The reciprocal of $\frac{2}{2}$ is $\frac{2}{2}$, as it simplifies to 1.
• Step 3: Multiply the first fraction by the reciprocal of the second fraction:

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

Step 4: Simplify the resulting fraction $\frac{4}{8}$. Since the greatest common divisor of 4 and 8 is 4, divide both numerator and denominator by 4:

$\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}$

Therefore, the solution to the problem is $\frac{1}{2}$.