Solve: 1/2 ÷ (1/2 - 1/4) Fraction Operation Challenge

Complete the following exercise:

$\frac{1}{2}:\frac{1}{2}-\frac{1}{4}=\text{?}$

To solve the problem, $\frac{1}{2}:\frac{1}{2}-\frac{1}{4}$, follow these steps:

• Step 1: First, interpret the division $\frac{1}{2} : \frac{1}{2}$ as multiplication by the reciprocal. This becomes $\frac{1}{2} \times \frac{2}{1}$.
• Step 2: Perform the multiplication: $\frac{1}{2} \times \frac{2}{1} = \frac{1 \times 2}{2 \times 1} = \frac{2}{2} = 1.$
• Step 3: Next, subtract $\frac{1}{4}$ from 1: $1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}.$

Therefore, the solution to the problem is $\frac{3}{4}$.