How do you convert 0.4 (4 being repeated) to a fraction?

Question

93925 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:45:50

$4/9$

We first let 0.4 (4 being repeated) be $x$ .

Since $x$ is recurring in 1 decimal places, we multiply it by 10.

$10x = 4.4$

Next, we subtract them.

$10x - x = 4.4 - 0.4$

$9x = 4$

Lastly, we divide both sides by 9 to get $x$ as a fraction.

$x = 4/9$