How do you convert 0.23 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:30:31

$7/30$

We first let 0.23 be $x$ .

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

$10x = 2.33$

Next, we subtract them.

$10x - x = 2.33 - 0.23$

$9x = 2.1$

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

$x = 2.1/9$

$= 21/90$

$= 7/30$