How do you convert 1.01 (1 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:16:22

$91/90$

We first let 1.01 be $x$ .

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

$10x = 10.11$

Next, we subtract them.

$10x - x = 10.11 - 1.01$

$9x = 9.1$

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

$x = 9.1/9$

$= 91/90$