7s² + 7s
——————————
14s² + 49s

Factor the numerator as you did by factoring out the
GCF of 7s and getting 7s(s + 1).

Factor the denominator by factoring out the GCF of 7s
and get 7s(2s + 7)

So you put 7s(s + 1) on top and 7s(s + 7) on the
bottom:

 7s(s + 1)
———————————
 7s(2s + 7)

Now you are to remove any factors of 1.  Write it this way:

 7s     s + 1
 ——— × ————————
 7s     2s + 7

And the  is a factor of 1 so we remove it
and all we have left is:

 s + 1
——————
2s + 7

Edwin