How do you convert 2.5 (5 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:51:35

$23/9$

We first let 2.5 (5 being repeated) be $x$ .

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

$10x = 25.5$

Next, we subtract them.

$10x - x = 25.5 - 2.5$

$9x = 23$

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

$x = 23/9$