Determine the sum of the two fractions:
8) $-1 \frac{3}{18}+\frac{5}{6}$
The sum of the two fractions is \(\boxed{-\frac{1}{3}}\).
Step 1 :Convert the mixed number to an improper fraction. The mixed number is \(-1 \frac{3}{18}\), which can be converted to \(-\frac{7}{6}\).
Step 2 :Simplify the fractions if possible. The fractions are \(-\frac{7}{6}\) and \(\frac{5}{6}\). They are already in their simplest form.
Step 3 :Add the two fractions together. \(-\frac{7}{6} + \frac{5}{6} = -\frac{1}{3}\).
Step 4 :The sum of the two fractions is \(\boxed{-\frac{1}{3}}\).