How do you convert 0.9 (9 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:46:58

$1/1$

We first let 0.9 (9 being repeated) be $x$ .

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

$10x = 9.9$

Next, we subtract them.

$10x - x = 9.9 - 0.9$

$9x = 9$

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

$x = 9/9$

$= 1$