Question

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

Answer 1

-7/18

Explanation:

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

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

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