How do you convert 0.95 (5 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:31:12

$43/45$

We first let 0.95 be $x$ .

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

$100x = 9.55$

Next, we subtract them.

$10x - x = 9.55 - 0.95$

$9x = 8.6$

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

$x = 8.6/9$

$= 86/90$

$= 43/45$