The number `1. 272727..... ` in the form `p/q ,` where `p\ a n d\ q` are integers and `q\ !=0` , is (a) `(14)/9` (b) `(14)/(11)` (c) `(14)/(13)` (d) `(14)/(15)`

Explanation

`x=1.272727.....`(1)
multiply both sides by `100 100x=100*1.2727....`
`100x=127.2727.....`
`100x=126+1.272727....`
`100x=126+x ` [from (1)]
`100x-x=126`
`99x=126`
`x=126/99=42/33`
=`14/11`