Solve the Fraction Division: 4/12 ÷ 2/4 Step-by-Step

To solve the division problem $\frac{4}{12}:\frac{2}{4}$, we will follow these steps:

• Step 1: Identify the fractions involved: $\frac{4}{12}$ and $\frac{2}{4}$.
• Step 2: Convert the division into multiplication by the reciprocal of the divisor. The reciprocal of $\frac{2}{4}$ is $\frac{4}{2}$.
• Step 3: Multiply the first fraction by this reciprocal:

$\frac{4}{12} \times \frac{4}{2} = \frac{4 \times 4}{12 \times 2}$

$= \frac{16}{24}$

• Step 4: Simplify the resulting fraction. The greatest common divisor of 16 and 24 is 8.

$\frac{16 \div 8}{24 \div 8} = \frac{2}{3}$

Thus, the solution to the problem is $\frac{2}{3}$.