Answer:
[tex] - 1 \frac{1}{3} [/tex]
Step-by-step explanation:
[tex]3 \frac{5}{9} = \frac{9 \times 3 + 5}{9} = \frac{27 + 5}{9} = \frac{32}{9} [/tex]
[tex] - 2 \frac{2}{3} = - \frac{3 \times 2 + 2}{3} = - \frac{6 + 2}{3} = - \frac{8}{3} [/tex]
[tex]3 \frac{5}{9} \div ( - 2 \frac{2}{3} ) = \frac{32}{9} \div ( - \frac{8}{3} ) = \frac{32}{9} \times ( - \frac{3}{8} ) = - \frac{32 \times 3}{9 \times 8} = - \frac{4}{3} = - 1 \frac{1}{3} [/tex]
