1. The problem is to find the result of dividing 4 by \frac{1}{2}. 2. The formula for dividing by a fraction is to multiply by its reciprocal: \n\frac{a}{\frac{b}{c}} = a \times \frac{c}{b}. 3. Applying this rule, we have: $$4 \div \frac{1}{2} = 4 \times \frac{2}{1}$$ 4. Multiply the numbers: $$4 \times 2 = 8$$ 5. Therefore, the answer is 8.