Question

Express 3.423bar in the form p/q, where p&q are integera and q not equal to zero.

Answer 1

let x=3.423423.......---------(1)
3 digits are repeating so we multiply both sides by 1000.
1000x=3423.423423.........-----------(2)
Subtract (1) from (2) , we get,
999x= 3420
x=3420/999
3.423bar= 3420/999