How do you convert 3.76 (6 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:41:51

$\frac{113}{30}$ $113/30$

We first let 3.76 (6 being repeated) be $x$ $x$ .

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

$10 x = 37.66$ $10x = 37.66$

Next, we subtract them.

$10 x - x = 37.66 - 3.76$ $10x - x = 37.66 - 3.76$

$9 x = 33.9$ $9x = 33.9$

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

$x = \frac{33.9}{9}$ $x = 33.9/9$

$= \frac{339}{90}$ $= 339/90$

$= \frac{113}{30}$ $= 113/30$