1. **State the problem:** Simplify the expression $$8 + \frac{2}{3} - \left(5 + \frac{i}{6}\right)$$ where $i$ is the imaginary unit. 2. **Rewrite the expression:** $$8 + \frac{2}{3} - 5 - \frac{i}{6}$$ 3. **Group real and imaginary parts:** Real part: $$8 - 5 + \frac{2}{3} = 3 + \frac{2}{3}$$ Imaginary part: $$- \frac{i}{6}$$ 4. **Simplify the real part:** $$3 + \frac{2}{3} = \frac{9}{3} + \frac{2}{3} = \frac{11}{3}$$ 5. **Final simplified expression:** $$\frac{11}{3} - \frac{i}{6}$$ 6. **Interpretation:** The expression is a complex number with real part $\frac{11}{3}$ and imaginary part $-\frac{1}{6}$. 7. **Check multiple-choice answers:** All options are real numbers; none include an imaginary part. Since the original expression contains an imaginary component, none of the given options exactly match the full expression. **Answer:** The simplified form is $$\frac{11}{3} - \frac{i}{6}$$ which cannot be matched to any of the provided purely real options.