Solve Fraction Division: 2/4 ÷ 1/3 Step-by-Step

To solve this problem, let's follow these steps:

• Step 1: Simplify the fraction $\frac{2}{4}$.
• Step 2: Find the reciprocal of $\frac{1}{3}$.
• Step 3: Multiply the simplified fraction by the reciprocal.
• Step 4: Simplify the resulting fraction if needed.

Now, let's work through each step:
Step 1: Simplify $\frac{2}{4}$ to $\frac{1}{2}$ by dividing both the numerator and the denominator by 2.
Step 2: The reciprocal of $\frac{1}{3}$ is $\frac{3}{1}$.
Step 3: Multiply $\frac{1}{2} \times \frac{3}{1}$. This gives us $\frac{1 \times 3}{2 \times 1} = \frac{3}{2}$.
Step 4: $\frac{3}{2}$ is an improper fraction. Convert it to a mixed number, $1\frac{1}{2}$.

Therefore, the solution to the division $\frac{2}{4}:\frac{1}{3}$ is $1\frac{1}{2}$.