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

Question

Complete the following exercise:

12:1214=? \frac{1}{2}:\frac{1}{2}-\frac{1}{4}=\text{?}

Video Solution

Step-by-Step Solution

To solve the problem, 12:1214\frac{1}{2}:\frac{1}{2}-\frac{1}{4}, follow these steps:

  • Step 1: First, interpret the division 12:12\frac{1}{2} : \frac{1}{2} as multiplication by the reciprocal. This becomes 12×21\frac{1}{2} \times \frac{2}{1}.
  • Step 2: Perform the multiplication: 12×21=1×22×1=22=1. \frac{1}{2} \times \frac{2}{1} = \frac{1 \times 2}{2 \times 1} = \frac{2}{2} = 1.
  • Step 3: Next, subtract 14\frac{1}{4} from 1: 114=4414=34. 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}.

Therefore, the solution to the problem is 34\frac{3}{4}.

Answer

34 \frac{3}{4}