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

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

• Step 1: Identify the fractions involved and their reciprocal.
• Step 2: Convert the division into multiplication using the reciprocal.
• Step 3: Simplify the resulting fraction, if needed, converting any improper fraction to a mixed number.

Now, let's work through each step:
Step 1: We are given the fraction $\frac{1}{3}$ and we are dividing by $\frac{1}{4}$. The reciprocal of $\frac{1}{4}$ is $\frac{4}{1}$.
Step 2: Multiply $\frac{1}{3}$ by the reciprocal of $\frac{1}{4}$:

$\frac{1}{3} \times \frac{4}{1} = \frac{1 \times 4}{3 \times 1} = \frac{4}{3}$

Step 3: Simplify $\frac{4}{3}$. Since $\frac{4}{3}$ is an improper fraction, convert it to a mixed number:
Divide 4 by 3, which goes 1 time with a remainder of 1. Therefore, $\frac{4}{3} = 1\frac{1}{3}$.

Therefore, the solution to the problem is $1\frac{1}{3}$.