Respuesta :

-0.35 = - (35/100) = -7/20
(8/15) / (7/20) = (8/15) * (20/7) = (8*20) / (15*7)
= 160/105 = 32/21

Hi, I'm happy to help!

To solve this problem, we can turn -0.35 into an equivalent fraction.

[tex]\frac{8}{15}[/tex]÷[tex]\frac{-0.35}{1}[/tex]

For division, I like to use the strategy called KFC. This stand for Keep, flip, and change. You keep the first fraction, flip the second, and change the operation.

[tex]\frac{8}{15}[/tex]×[tex]\frac{1}{-0.35}[/tex]

Now we multiply the top by the top and the bottom by the bottom.

[tex]\frac{8}{-5.25}[/tex]

We know that the negative applies to the entire fraction, so we write it like this:

-[tex]\frac{8}{5.25}[/tex]

I hope this was helpful, keep learning! :D

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