# How do you find the reciprocal of -2/3?

Apr 20, 2017

The reciprocal of $- \frac{2}{3} \text{ is } - \frac{3}{2}$

#### Explanation:

The reciprocal of a number is called the multiplicative inverse

("The multiplying opposite" - flip it)

The product of a number and its reciprocal in equal to $1$

The reciprocal of $\frac{a}{b}$ is $\frac{b}{a} \text{ } \rightarrow \frac{a}{b} \times \frac{b}{a} = 1$

The reciprocal of $- \frac{2}{3} \text{ is } - \frac{3}{2}$

$- \frac{2}{3} \times - \frac{3}{2} = 1$