Answer
-$\frac{3}{2}$
Work Step by Step
Let's assume that reciprocal of -$\frac{2}{3}$ is '$ x$'.
By definition, product of a number and its reciprocal is always 1. Therefore-
$ -(\frac{2}{3})\times x $ = 1
$x$ = $\frac{1}{-(\frac{2}{3})}$
or $ x$ = -$\frac{3}{2}$
i.e. reciprocal of -$\frac{2}{3}$ is -$\frac{3}{2}$
