Question

the rational number of decimal number 0.6 bar

Answer 1

let x = 0.66666......---------(1)
(multiply both side by 10)
=10x = 6.66666......---------(2)
Now subtract (1) from (2)
10x-x =6.666.... - 0.6666......
9x = 6
x =6/9
x = 2/3

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Answer 2

let us consider x=0.6666........(1)
now again 10x=6.66666(multiplying 10 in both side)........(2)
9x=6(substracting 1 from 2)
so x=6/9=2/3