How do you convert 1.19 (9 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:48:45

$6/5$

We first let 1.19 (9 being repeated) be $x$ .

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

$10x = 11.99$

Next, we subtract them.

$10x - x = 11.99 - 1.19$

$9x = 10.8$

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

$x = 10.8/9$

$= 108/90$

$= 6/5$