Question

Show that 1.272727...=1.27 can be expressed in the form of p/q,where p and q are integers and q≠0

Answer 1

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