How do you convert 1.54 (54 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:55:36

$17/11$

We first let 1.54 (54 being repeated) be $x$ .

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

$100x = 154.54$

Next, we subtract them.

$100x - x = 154.54 - 1.54$

$99x = 153$

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

$x = 153/99$

$= 17/11$