How do you convert 0.51 (51 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:34:04

$17/33$

We first let 0.51 be $x$ .

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

$100x = 51.51$

Next, we subtract them.

$100x - x = 51.51 - 0.51$

$99x = 51$

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

$x = 51/99$

$= 17/33$