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Answer:
[tex]-2\dfrac{1}{6}[/tex]
Step-by-step explanation:
[tex]1\dfrac{4}{9} \div \bigg(-\dfrac{2}{3} \bigg)=\dfrac{13}{9} \times \bigg(-\dfrac{3}{2} \bigg)=-\dfrac{13 \times 3}{9 \times 2} =-\dfrac{13}{6} =-2\dfrac{1}{6}[/tex]