How do you convert -6.3 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:58:39

$-19/3$

We first let -6.3 (3 being repeated) be $x$ .

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

$10x = -63.3$

Next, we subtract them.

$10x - x = -63.3 - (-6.3)$

$9x = -57$

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

$x = -57/9$

$= -19/3$