3. Divide. Write the answer in simplest form. \( \frac{1}{2} \div \frac{1}{4}=\square \)

To divide the fractions \(\frac{1}{2} \div \frac{1}{4}\), follow these steps: 1. **Understand Division of Fractions:** Dividing by a fraction is the same as multiplying by its reciprocal. The **reciprocal** of a fraction is created by swapping its numerator and denominator. 2. **Find the Reciprocal of the Divisor:** The divisor here is \(\frac{1}{4}\). Its reciprocal is \(\frac{4}{1}\). 3. **Multiply the First Fraction by the Reciprocal:** \[ \frac{1}{2} \div \frac{1}{4} = \frac{1}{2} \times \frac{4}{1} \] 4. **Perform the Multiplication:** \[ \frac{1 \times 4}{2 \times 1} = \frac{4}{2} \] 5. **Simplify the Result:** \[ \frac{4}{2} = 2 \] **Final Answer:** \[ \frac{1}{2} \div \frac{1}{4} = 2 \]