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Answer:
8/15
Step-by-step explanation:
In this context, "of" means "times." The product is ...
[tex]\dfrac{4}{5}\times\dfrac{6}{9}=\dfrac{4\cdot6}{5\cdot9}=\dfrac{3\cdot8}{3\cdot15}=\boxed{\dfrac{8}{15}}[/tex]