How do you convert -0.13 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-21T03:57:38

$-2/15$

We first let -0.13 (3 being repeated) be $x$ .

Since $x$ is recurring in 1 decimal places, we multiply it by $10^1$ .

$10x = -1.33$

Next, we subtract them.

$10x - x = -1.33 - (-0.13)$

$9x = -1.2$

Lastly, we divide both sides by 9 to get $x$ as a fraction.

$x = -1.2/9$

$= -12/90$

$= -2/15$

Answer 2 · 2016-03-22T08:58:10

$-0.13$
$x=-0.133$
$10x=-1.33$
$100x=-13.33$
$100x-10x=-13.33-1.33$
$90x=-14.66$
$x=-1466/9000$
now cancel it by yourself