Answer
$\dfrac{3}{8}$
Work Step by Step
Convert the divisor to a mixed number to obtain:
$=\dfrac{2}{3} \div \dfrac{9(1)+7}{9}
\\=\dfrac{2}{3}\div \dfrac{16}{9}$
Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ to obtain:
$\require{cancel}
=\dfrac{2}{3} \times \dfrac{9}{16}
\\=\dfrac{2(9)}{3(16)}
\\=\dfrac{\cancel{2}(\cancel{9}^3)}{\cancel{3}(\cancel{16}^8)}
\\=\dfrac{1(3)}{1(8)}
\\=\dfrac{3}{8}$
