Convert the following repeating decimal to a fraction in simplest form.

Question

., start overline, 2, 0, end overline

Answer 1

Let x = .202020...
Then 100 * x = 20.202020...
Subtracting the two equations, we get:
99 * x = 20
Dividing both sides by 99, we find:
x = 20/99
So, .202020... = 20/99.