Solve Fraction Division: 3/4 ÷ 3/8 Step-by-Step

To solve this problem, we'll perform the division of two fractions $\frac{3}{4}$ and $\frac{3}{8}$ using the reciprocal method.

• Step 1: Identify the reciprocal of the divisor.
• Step 2: Multiply the dividend by the reciprocal of the divisor.
• Step 3: Simplify the result to get the final answer.

Let's work through each step:

Step 1: The problem asks us to divide $\frac{3}{4}$ by $\frac{3}{8}$. The reciprocal of $\frac{3}{8}$ is $\frac{8}{3}$.

Step 2: Multiply $\frac{3}{4}$ by $\frac{8}{3}$.

$\frac{3}{4} \times \frac{8}{3} = \frac{3 \times 8}{4 \times 3} = \frac{24}{12}$

Step 3: Simplify the fraction $\frac{24}{12}$.

$\frac{24}{12} = 2$

Therefore, the solution to the problem is $2$.