How do you convert 0.347 (47 being repeated) to a fraction?

Question

3663 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:32:56

$172/495$

We first let 0.347 be $x$ .

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

$100x = 34.747$

Next, we subtract them.

$100x - x = 34.747 - 0.347$

$99x = 34.4$

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

$x = 34.4/99$

$= 344/990$

$= 172/495$