Divide. Write your answer in simplest form. \( \begin{array}{l}\text { (a) } \frac{1}{8} \div 3=\square \\ \text { (b) } 3 \div \frac{1}{8}=\square\end{array} \)

To solve these division problems, we'll convert the divisions into multiplications by using the reciprocal. For (a), we take \( \frac{1}{8} \div 3 \). This is the same as multiplying \( \frac{1}{8} \) by the reciprocal of 3, which is \( \frac{1}{3} \): \( \frac{1}{8} \times \frac{1}{3} = \frac{1 \times 1}{8 \times 3} = \frac{1}{24} \). For (b), we have \( 3 \div \frac{1}{8} \). This is equal to multiplying 3 by the reciprocal of \( \frac{1}{8} \), which is 8: \( 3 \times 8 = 24 \). So, the answers are: (a) \( \frac{1}{24} \) (b) 24