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

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

UpStudy AI · Accepted Answer

**(a)** To divide $$ \frac{1}{8} $$ by $$ 3 $$, we rewrite $$ 3 $$ as a fraction:
$$
\frac{1}{8} \div 3 = \frac{1}{8} \div \frac{3}{1}
$$
Dividing by a fraction is equivalent to multiplying by its reciprocal:
$$
\frac{1}{8} \times \frac{1}{3} = \frac{1}{24}
$$

**(b)** To divide $$ 3 $$ by $$ \frac{1}{8} $$, we again use the reciprocal:
$$
3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 24
$$
**(a)** $$ \frac{1}{8} \div 3 = \frac{1}{24} $$ **(b)** $$ 3 \div \frac{1}{8} = 24 $$

Divide. Write your answer in simplest form.

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