To simplify 3(w+11) /6w, we can first simplify the numerator by distributing the 3:
3(w+11) = 3w + 33
Now we have:
(3w + 33) / 6w
We can further simplify by factoring out a 3 from the numerator:
3(w + 11) = 3 * 1(w + 11)
So we have:
(3 * 1(w + 11)) / 6w
The 3's cancel out, leaving:
(w + 11) / 2w
Therefore, the fully simplified expression is (w + 11) / 2w.