How do you convert 4.36 (36 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:19:31

$48/11$

We first let 4.36 be $x$ .

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

$100x = 436.36$

Next, we subtract them.

$100x - x = 436.36 - 4.36$

$99x = 432$

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

$x = 432/99$

$= 48/11$