Question

Express 0.666666666........ as a fraction in simplest form.
please solve fastly!!
I will mark as brainiest.​

Answer 1

Answer:

let x= 0.66666666666.....(1)

multiply both sides by 10

ie

10x = 6.66666666666....(2)

subtracting eq 1 from eq 2

9x =. 6.0

x= 6/9

x = 2/3

Answer 2

Step-by-step explanation:

let x= o.666666... (1)

since only one digit is repeated i.e. 6

therefore multiply both sides of equation 1 with 10

so our equation becomes

10x= 6.666666... (2)

subtract equation 1 from equation 2, we get

10x=6.666666...

- x=0.666666...

9x = 6

x= 6/9

x= 2/3