Which geometric series represents 0. as a fraction?

It can be expressed as

Step-by-step explanation:

Since we have given that 0.44444.......

We need  geometric series that represents as a fraction.

so, it can be written as

0.4+0.04+0.004+0.0004...............

But as we are required to write it as a fraction , So, it becomes,

and it is a geometric series.

Because it has first term = a =

and common ratio = r =

Hence, it can be expressed as