Given
[tex]\dfrac{x+5}{2}+\dfrac{x+6}{2}[/tex]
Find
The simplified form
Solution
There are a couple of possibilities, depending on whether you insist on a common denominator.
[tex]\dfrac{x+5}{2}+\dfrac{x+6}{2}=\dfrac{(x+5)+(x+6)}{2}\\\\=\dfrac{2x+11}{2}\qquad\text{one possible representation of the sum}\\\\=x+\dfrac{11}{2}\qquad\text{another representation of the sum}[/tex]
