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

Step 1 ：First, we need to calculate the sum inside the parentheses: $-\frac{2}{3}+\frac{5}{1}$.\\

Step 2 ：\(-\frac{2}{3}+\frac{5}{1} = \frac{13}{3}\).\\

Step 3 ：Next, we need to multiply this sum by $\frac{1}{2}$.\\

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

Step 5 ：\(\boxed{\frac{13}{6}}\)