1. **State the problem:** Simplify the expression $\frac{5u}{6} + \frac{u}{12}$ into a single fraction in simplest form. 2. **Find a common denominator:** The denominators are 6 and 12. The least common denominator (LCD) is 12. 3. **Rewrite each fraction with the LCD:** $$\frac{5u}{6} = \frac{5u \times 2}{6 \times 2} = \frac{10u}{12}$$ 4. **Add the fractions:** $$\frac{10u}{12} + \frac{u}{12} = \frac{10u + u}{12} = \frac{11u}{12}$$ 5. **Simplify the fraction:** The numerator and denominator have no common factors other than 1, so the fraction is already in simplest form. **Final answer:** $$\frac{11u}{12}$$