How do you convert 10.07 (7 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:39:40

$907/90$

We first let 10.07 (7 being repeated) be $x$ .

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

$10x = 100.77$

Next, we subtract them.

$10x - x = 100.77 - 10.07$

$9x = 90.7$

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

$x = 90.7/9$

$= 907/90$