How do you convert 0.2 (2 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:17:38

$2/9$

We let 0.2 be $x$ .

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

$10x = 2.2$

Next, we subtract them.

$10x - x = 2.2 - 0.2$

$9x = 2$

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

$x = 2/9$