#### Answer

$\dfrac{6}{53}$

#### Work Step by Step

Write the mixed number in improper fraction form to obtain:
$=\dfrac{3}{8} \div \dfrac{16(3)+5}{16}
\\=\dfrac{3}{8} \div \dfrac{53}{16}$
Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ to obtain:
$=\dfrac{3}{8} \times \dfrac{16}{53}$
Cancel common factors then multiply to obtain:
$\require{cancel}
\\=\dfrac{3}{\cancel{8}} \times \dfrac{\cancel{16}^2}{53}
\\=\dfrac{3}{1} \times \dfrac{2}{53}
\\=\dfrac{3(2)}{1(53)}
\\=\dfrac{6}{53}$