# How do you convert 0.4 (4 being repeated) to a

How do you convert 0.4 (4 being repeated) to a fraction?
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kalfswors0m
We first let 0.4 (4 being repeated) be x
Since x is recurring in 1 decimal places, we multiply it by 10.
$10x=4.4$
Next, we subtract them.
$10x-x=4.4=0.4$
$9x=4$
Lastly, we divide both sides by 9 to get x as a fraction.
$x=\frac{4}{9}$

The given decimal is: $0.44444\dots \dots .$
Let the given decimal be equal to x, hence it follows that:
$x=0.44444\dots .$
Multiplying both sides by 10, we get:
$10x=4.44444\dots ..$
Now, lets