How do you convert 11.3 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:28:51

$34/3$

We first let 11.3 be $x$ .

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

$10x = 113.3$

Next, we subtract them.

$10x - x = 113.3 - 11.3$

$9x = 102$

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

$x = 102/9$

$= 34/3$