Question

Which number is equivalent to 0.33333..(going on forever)?

1/3
33/100
5/6
2/3
please help meeee

Answer 1

Suppose x = 0.333...

Then 10x = 3.333...

So 10x - x = 3.333... - 0.333..., and the repeating decimal part gets eliminated so that 9x = 3.

Then x = 3/9 = 1/3.