Question

convert 0.57 where 7 is a bar into a rational no.​

Answer 1

Let,x=0.5777777.......--------1

Multiply both side by 10

10x=5.7777777........-----------2

Subtract equation 1 from 2

10x=5.77777777.......

x=0.5777777777......

9x=5.2

x=5.2/9

=52/90=26/45

Answer 2

let x = 0.5777.......

take it as 1st equasion

now multiply both sides by 100

100x=5.777.....

take it as 2nd equation

now 1st and 2nd equation

100x—10x=0.5777..–57.77...

90x=52.000......

x=52/90