Answer
$\dfrac{7}{24}
$
Work Step by Step
Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$.
Note that the product and quotient of two numbers with the same signs is positive.
$\require{cancel}
=-\dfrac{7}{9} \times \left(-\dfrac{3}{8}\right)
\\=-\dfrac{7}{\cancel{9}^3} \times \left(-\dfrac{\cancel{3}}{8}\right)
\\=-\dfrac{7}{3} \times \left(-\dfrac{1}{8}\right)
\\=\dfrac{7(1)}{3(8)}
\\=\dfrac{7}{24}
$
