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

Question

Convert the following repeating decimal to a fraction in simplest form.
., start overline, 2, 0, end overline

GPT 3.5 · Answer

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.