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

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Mar 16, 2016

$\frac{2}{9}$

#### Explanation:

We let 0.2 be $x$.

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

$10 x = 2.2$

Next, we subtract them.

$10 x - x = 2.2 - 0.2$

$9 x = 2$

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

$x = \frac{2}{9}$

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