How do you convert 0.16 (16 being repeated) to a fraction?

Question

48757 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:25:28

$16/99$

We first let 0.16 be $x$ .

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

$100x = 16.16$

Next, we subtract them.

$100x - x = 16.16 - 0.16$

$99x = 16$

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

$x = 16/99$