Add Mixed Numbers 5D4A20

1. **State the problem:** Add the mixed numbers $2 \frac{6}{8}$ and $1 \frac{5}{8}$. 2. **Convert mixed numbers to improper fractions:** $$2 \frac{6}{8} = 2 + \frac{6}{8} = \frac{2 \times 8}{8} + \frac{6}{8} = \frac{16}{8} + \frac{6}{8} = \frac{22}{8}$$ $$1 \frac{5}{8} = 1 + \frac{5}{8} = \frac{1 \times 8}{8} + \frac{5}{8} = \frac{8}{8} + \frac{5}{8} = \frac{13}{8}$$ 3. **Add the improper fractions:** $$\frac{22}{8} + \frac{13}{8} = \frac{22 + 13}{8} = \frac{35}{8}$$ 4. **Convert the improper fraction back to a mixed number:** Divide $35$ by $8$: $$35 \div 8 = 4 \text{ remainder } 3$$ So, $$\frac{35}{8} = 4 \frac{3}{8}$$ 5. **Final answer:** $$2 \frac{6}{8} + 1 \frac{5}{8} = 4 \frac{3}{8}$$