# How do you find the reciprocal of 3 3/4?

Apr 14, 2018

$\frac{4}{15}$

#### Explanation:

$\text{the reciprocal of a number n is } \frac{1}{n}$

$\text{express "3 3/4" as an improper fraction}$

$\Rightarrow 3 \frac{3}{4} = \frac{\left(4 \times 3\right) + 3}{4} = \frac{15}{4}$

$\text{the reciprocal of "15/4" is } \frac{1}{\frac{15}{4}} = \frac{4}{15}$