How do you convert 5.23 (23 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:33:53

$518/99$

We first let 5.23 be $x$ .

Since $x$ is recurring in 2 decimal places, we multiply it by 100.

$100x = 523.23$

Next, we subtract them.

$100x - x = 523.23 - 5.23$

$99x = 518$

Lastly, we divide both sides by 99 to get $x$ as a fraction.

$x = 518/99$