How do you convert $0.4bar3 (3$ being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:54:08

$13/30$

We first let 0.43 (3 being repeated) be $x$ .

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

$10x = 4.33$

Next, we subtract them.

$10x - x = 4.33 - 0.43$

$9x = 3.9$

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

$x = 3.9/9$

$= 39/90$

$= 13/30$

How do you convert 0.4bar3 (30.4bar3 (3 being repeated) to a fraction?