How do you convert 0.628 (28 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:43:13

$311/495$

We first let 0.628 be $x$ .

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

$100x = 62.828$

Next, we subtract them.

$100x - x = 62.828 - 0.628$

$99x = 62.2$

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

$x = 62.2/99$

$= 622/990$

$= 311/495$