#### Answer

False

#### Work Step by Step

The reciprocal of $\dfrac{-3}{7}$ is:
$=\dfrac{1}{\frac{-3}{7}}
\\=1 \cdot \dfrac{7}{-3}
\\=\dfrac{-7}{3}$
Thus, the given statement is false.
Note, $\frac{7}{3}$ is the $\underline {opposite}$ reciprocal of $\frac{-3}{7}$.