Solution:
we have been asked
What is 0.4¯ expressed as a fraction in simplest form?
[tex] x=0.\overline{4}\\\\\Rightarrow x=0.44....(i)\\\\\Rightarrow 10x=4.4\\\\\Rightarrow 10x=4.44....(ii)\\\\\text{Subtract equation (i) from equation (ii) we get }\\\\\Rightarrow 10x-x=4.44-0.44\\\\\Rightarrow 9x=4\\\\\Rightarrow x=\frac{4}{9}\\ [/tex]
