What is 0.48 expressed as a fraction in simplest form? (just the 8 repeating)

Let y=0.4888888888.....

10y= 4.888888888...

y=0.4888888888....

subtract

9y = 4.4

\(y=\frac{4.4}{9}=\frac{44}{90}=\frac{22}{45}\)

\(0.4\dot8=\frac{22}{45}\)

You need to check my working. :)