(8) \( -2 \frac{5}{6}+1 \frac{3}{8} \)

To tackle this problem, let’s first convert the mixed numbers into improper fractions. For \(-2 \frac{5}{6}\), it converts to \(-\frac{17}{6}\) (because \(2 \times 6 + 5 = 17\)). For \(1 \frac{3}{8}\), it converts to \(\frac{11}{8}\) (since \(1 \times 8 + 3 = 11\)). Next, find a common denominator to add these fractions, which is 24. Now, we rewrite the fractions: \(-\frac{68}{24} + \frac{33}{24}\). Adding these provides \(-\frac{35}{24}\), which can be expressed as \(-1 \frac{11}{24}\). So, \(-2 \frac{5}{6}+1 \frac{3}{8} = -1 \frac{11}{24}\).