How do you convert 9.15 (15 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:41:40

$302/11$

We first let 9.15 be $x$ .

Since $x$ is recurring in 2 decimal places, we multiply it by 100.

$100x = 915.15$

Next, we subtract them.

$100x - x = 915.15 - 9.15$

$99x = 906$

Lastly, we divide both sides by 99 to get $x$ as a fraction.

$x = 906/99$

$= 302/11$