Show that `1.272727....=1.bar27 ` can be expressed in the form `p/q ,` where `p\ a n d\ q ` are integrs and `q!=0.`

Explanation

Let
`x=1.272727......` .......(1)
multiply both sides by 100
`100x=100xx1.2727....`
`100x=127.2727....`
`100x=126+1.272727....`
`100x=126+x` [from (1)]
`100x-x=126`
`99x=126`
`x=126/99=42/33=14/11`
hence,
`1.bar27=14/11`