How do you convert 0.036 (36 being repeated) to a fraction?

Question

6336 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:11:15

$4/110$

We let 0.036 be $x$ .

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

$100x = 3.636$

Next, we subtract them.

$100x - x = 3.636 - 0.036$

$99x = 3.6$

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

$x = 3.6/99$

$= 36/990$

$= 4/110$