How do you convert 0.84 (84 being repeated) to a fraction?

Question

17609 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:27:00

$28/33$

We first let 0.84 be $x$ .

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

$100x = 84.84$

Next, we subtract them.

$100x - x = 84.84 - 0.84$

$99x = 84$

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

$x = 84/99$

$= 28/33$