# How do you divide 1/4 div 3/8?

Nov 15, 2016

$\frac{2}{3}$

#### Explanation:

To divide by a fraction is the same as multiplying by its reciprocal.

$\frac{1}{4} \textcolor{b l u e}{\div \frac{3}{8}}$

=$\frac{1}{4} \textcolor{b l u e}{\times \frac{8}{3}} \text{ } \leftarrow$ now follow the rules of multiplication

=$\frac{1}{\cancel{4}} \times {\cancel{8}}^{2} / 3$

=$\frac{2}{3}$