#### Answer

$\dfrac{5}{3}$

#### Work Step by Step

RECALL:
The negative reciprocal of a nonzero real number $a$ is $-\dfrac{1}{a}$.
Thus, the negative reciprocal of $-\dfrac{3}{5}$ is:
$=-\dfrac{1}{-\frac{3}{5}}
\\=-1 \cdot \left(-\frac{5}{3}\right)
\\=\dfrac{5}{3}$