Answer :

[tex]-\frac{5}{8}:\frac{9}{10}=-\frac{5}{8}\cdot\frac{10}{9}=-\frac{5\cdot\not10_5}{\not8^4\cdot9}=-\frac{5\cdot5}{4\cdot9}=\boxed{-\frac{25}{36}}\leftarrow \boxed{\boxed{A}}[/tex]

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