Step 1 :Given the expression \(\frac{6 a+8}{2(a+b)}\) with values \(a=-6\) and \(b=-1\).
Step 2 :Substitute the given values of \(a\) and \(b\) into the expression.
Step 3 :After simplifying, the value of the expression is 2.0.
Step 4 :Therefore, the final answer is \(\boxed{2}\).