How do you convert 0.24 (4 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:36:03

$11/45$

We first let 0.24 be $x$ .

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

$10x = 2.44$

Next, we subtract them.

$10x - x = 2.44 - 0.24$

$9x = 2.2$

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

$x = 2.2/9$

$= 22/90$

$= 11/45$