Answer
$-\frac{3}{2}$
Work Step by Step
RECALL:
$\\\\$The reciprocal of a nonzero real number $a$ is $\frac{1}{a}$.
$\\\\$Thus, the reciprocal of $-\frac{2}{3}$ is:
$\\\\=\dfrac{1}{-\frac{2}{3}}
\\\\\\=1 \cdot (-\frac{3}{2})
\\\\\\=-\frac{3}{2}$