1. The problem is to simplify the expression $\frac{1}{2} \div 3 \div 4$. 2. Division of fractions and numbers can be handled by converting division into multiplication by the reciprocal. 3. Rewrite the expression as $\frac{1}{2} \times \frac{1}{3} \times \frac{1}{4}$. 4. Multiply the numerators: $1 \times 1 \times 1 = 1$. 5. Multiply the denominators: $2 \times 3 \times 4 = 24$. 6. So, the simplified expression is $\frac{1}{24}$. 7. Therefore, $\frac{1}{2} \div 3 \div 4 = \frac{1}{24}$.