For non-negative integers $a$ and $b,$ where $a \ge 2$ and $b \ge 2,$ simplify

Question

(a + b)/2 - a/2 - b/2

Answer 1

Applying the distributive property, we have $\frac{a + b}{2} - \frac{a}{2} - \frac{b}{2} = \frac{(a + b) - a - b}{2}$. Simplifying the numerator gives $(a + b - a - b) = 0$. Therefore, the fraction is equal to $\boxed{0}$.