[tex] \frac{1}{2} ( \frac{2}{3} + \frac{3}{4}) \\ = \frac{1}{2} ( \frac{2 \times 4}{3 \times 4} + \frac{3 \times 3}{4 \times 3} ) \\ = \frac{1}{2} ( \frac{8}{12} + \frac{9}{12} ) \\ = \frac{1}{2} ( \frac{8 + 9}{12} ) \\ = \frac{1}{2} ( \frac{17}{12} ) \\ = \frac{1 \times 17}{2 \times 12} \\ = \frac{17}{24} [/tex]
The answer is 17/24
