Respuesta :

In this problem we have a repeating number

0.6666666...

so

Convert to a fraction number

step 1

Let

x=0.666666...

10x=6.6666666...

Find out the difference

10x-x=6.66666...-0.666666...

9x=6

x=6/9

simplify

x=2/3

The answer is 2/3