Answer
$-\frac{5}{12}$
Work Step by Step
Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ to obtain:
$=\frac{3}{8} \times \left(-\frac{10}{9}\right)$
The product of the two numbers is negative.
Cancel common factors then multiply to obtain:
$\require{cancel}
=\frac{\cancel{3}}{\cancel{8}4} \times \left(-\frac{\cancel{10}5}{\cancel{9}3}\right)
\\=\frac{1}{4} \times (-\frac{5}{3})
\\=-\frac{5}{12}$
