How do you convert 0.12 (2 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:32:14

$11/90$

We first let 0.12 be $x$ .

Since $x$ is recurring in 2 decimal places, we multiply it by 10.

$10x = 1.22$

Next, we subtract them.

$10x - x = 1.22 - 0.12$

$9x = 1.1$

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

$x = 1.1/9$

$= 11/90$