How do you convert 7.12 (12 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:26:48

$235/33$

We first let 7.12 be $x$ .

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

$100x = 712.12$

Next, we subtract them.

$100x - x = 712.12 - 7.12$

$99x = 705$

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

$x = 705/99$

$= 235/33$