How do you convert 2.90 (90 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:24:33

We first let 2.90 be $x$ .

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

$100x = 290.90$

Next, we subtract them.

$100x - x = 290.90 - 2.90$

$99x = 288$

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

$x = 288/99$

$= 32/11$