## Elementary Technical Mathematics

$\dfrac{7}{24}$
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. $\require{cancel} =-\dfrac{7}{9} \times \left(-\dfrac{3}{8}\right) \\=-\dfrac{7}{\cancel{9}^3} \times \left(-\dfrac{\cancel{3}}{8}\right) \\=-\dfrac{7}{3} \times \left(-\dfrac{1}{8}\right) \\=\dfrac{7(1)}{3(8)} \\=\dfrac{7}{24}$