Answer:
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
