Express \(3.\overline{444}\) as a base 10 fraction in reduced form.
+247 to start, we will ignore the 3 and come back to it later
we are left with the fraction .4444444444444
i see this and reconize that it is 4/9, but if you dont there is a way we can get there algabraicly
x=.444444444
multiply by 10
10x=4.44444444444
subtract the original equation
9x=4
divide by 9, and you get x=4/9
coming back to the 3
4/9+3=(3(9)+4)/9
=31/9
+247 put 31/9 into a calculator, it is equal to 3.444444
is the base 10 part supposed to mean something? i just assumed it meant that it didn't want the fraction to be in base 7 or anything.
