eric05henn
eric05henn eric05henn
  • 19-08-2020
  • Mathematics
contestada

-0.38 repeating written as a fraction is _____. -7/18 2/5 -15/36

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 20-08-2020

Answer:

  -7/18

Step-by-step explanation:

You know that 8/9 = 0.888.... repeating, so this value is effectively ...

  [tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]

__

Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.

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