How do you convert 4.4 (4 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:56:49

$40/9$

We first let 4.4 (4 being repeated) be $x$ .

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

$10x = 44.4$

Next, we subtract them.

$10x - x = 44.4 - 4.4$

$9x = 40$

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

$x = 40/9$