How do you convert 3.63 (63 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:35:42

$40/11$

We first let 3.63 be $x$ .

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

$100x = 363.63$

Next, we subtract them.

$100x - x = 363.63 - 3.63$

$99x = 360$

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

$x = 360/99$

$= 40/11$