What is 0.5 repeating as a fraction in simplest form

5/9

Step-by-step explanation:

Start be letting x = 0.555 ...

Our original equation is:

x = 0.555 ...

There is only one digit repeating, the 5, so we multiply both sides of that equation by 10 and write it above the original equation.

10x = 5.555 ...

x = 0.555 ...

Now we subtract the second equation from the first equation as written above.

9x = 5

Divide both sides by 9.

x = 5/9

0.555 ... = 5/9