what is 0.4 4 repeating as a fraction?

Hi MathsGod1

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What is   $$0.\bar 4 $ as a fraction$$

Let  X=0.444444444

so

10X=4.44444444.....

   X =0.44444444

subtract

10X-X = 4      All the other 4's subtract away

9X=4

X=4/9

0.44/1 . 

Times by 100 (theres 2 digit on 0.44 so 10*10 =100)

44/100

Now simplify it

Divide both by 22 so 44/66 = 2/3 as 44/22 = 2 and 66/22 = 3