Question

Example: Show that 0.2353535... = 0.235 can be expressed in the form
p/q
where p and q are integers and q is not equal to 0.
​

Answer 1

let x = 0.2353535 ------- eq 1

multiply both side by 1000

1000x = 235.3535 ------ eq2

now subtract eq 1 and eq 2

we got 999x = 235

x = 235/999