2. Express as a single fraction \[ \frac{w}{2}-\frac{w+1}{7} \]

To combine the fractions \( \frac{w}{2} \) and \( -\frac{w+1}{7} \), we first need to find a common denominator, which in this case is 14. Rewriting the fractions, we have: \[ \frac{w}{2} = \frac{7w}{14} \] \[ -\frac{w+1}{7} = -\frac{2(w+1)}{14} = -\frac{2w + 2}{14} \] Now we can combine them: \[ \frac{7w}{14} - \frac{2w + 2}{14} = \frac{7w - (2w + 2)}{14} \] Simplifying the numerator: \[ 7w - 2w - 2 = 5w - 2 \] So the combined fraction is: \[ \frac{5w - 2}{14} \] Thus, the final answer is: \[ \frac{5w - 2}{14} \]