# What is the reciprocal of -2/3?

Oct 29, 2014

$- \frac{3}{2}$

The reciprocal means the multiplicative inverse of a number.
The multiplicative inverse $n '$ of a number $n$ is a number that when multiplied to $n$, results to the multiplicative identity which is 1.

That is...

$n ' \cdot n = 1$

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

$- 2 x = 3$

$x = - \frac{3}{2}$

Nov 1, 2016

The Reciprocal of $- \frac{2}{3}$ is $- \frac{3}{2}$.

#### Explanation:

Suppose $n$ is a number.
$\therefore$ Reciprocal of that number is $\frac{1}{n}$.

$\therefore$ Reciprocal of $- \frac{2}{3}$ $= \frac{1}{\left(- \frac{2}{3}\right)}$ $= - \frac{3}{2}$. (answer).

Information : The product of a number and its reciprocal is always equal to 1.

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

Oct 17, 2017

$- \frac{3}{2}$
Reciprocal of a number color(green)(x/y is color(brown)(y/x
The reciprocal of color(green)(-2/3 is color(brown)(-3/2