$\frac{1}{2} \times\left(-\frac{2}{3}+5\right)$

Step 1 ：Calculate the value inside the parentheses: \(-\frac{2}{3} + 5\)

Step 2 ：\(-\frac{2}{3} + \frac{15}{3} = \frac{13}{3}\)

Step 3 ：Multiply the result by \(\frac{1}{2}\): \(\frac{1}{2} \times \frac{13}{3}\)

Step 4 ：\(\frac{1}{2} \times \frac{13}{3} = \frac{13}{6}\)

Step 5 ：\(\boxed{\frac{13}{6}}\)