How do you convert 1.23 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:48:20

$37/30$

We first let 1.23 (3 being repeated) be $x$ .

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

$10x = 12.33$

Next, we subtract them.

$10x - x = 12.33 - 1.23$

$9x = 11.1$

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

$x = 11.1/9$

$= 111/90$

$= 37/30$