1. Problem: Calculate $6 \frac{5}{8} + 2 \frac{3}{4}$. 2. Formula: To add mixed numbers, add the whole numbers and fractions separately. Find a common denominator for the fractions. 3. Step 1: Convert $2 \frac{3}{4}$ to eighths: $2 \frac{3}{4} = 2 \frac{6}{8}$. 4. Step 2: Add the whole numbers: $6 + 2 = 8$. 5. Step 3: Add the fractions: $\frac{5}{8} + \frac{6}{8} = \frac{11}{8}$. 6. Step 4: Simplify $\frac{11}{8}$: $\frac{11}{8} = 1 \frac{3}{8}$. 7. Step 5: Add the extra whole number: $8 + 1 \frac{3}{8} = 9 \frac{3}{8}$. Final answer: $9 \frac{3}{8}$. --- 1. Problem: Calculate $3 \frac{3}{4} + 2 \frac{1}{2}$. 2. Formula: Find a common denominator for the fractions. 3. Step 1: Convert $2 \frac{1}{2}$ to quarters: $2 \frac{1}{2} = 2 \frac{2}{4}$. 4. Step 2: Add whole numbers: $3 + 2 = 5$. 5. Step 3: Add fractions: $\frac{3}{4} + \frac{2}{4} = \frac{5}{4}$. 6. Step 4: Simplify $\frac{5}{4} = 1 \frac{1}{4}$. 7. Step 5: Add extra whole number: $5 + 1 \frac{1}{4} = 6 \frac{1}{4}$. Final answer: $6 \frac{1}{4}$. --- 1. Problem: Calculate $7 \frac{8}{9} + 1 \frac{1}{3}$. 2. Formula: Find a common denominator. 3. Step 1: Convert $1 \frac{1}{3}$ to ninths: $1 \frac{1}{3} = 1 \frac{3}{9}$. 4. Step 2: Add whole numbers: $7 + 1 = 8$. 5. Step 3: Add fractions: $\frac{8}{9} + \frac{3}{9} = \frac{11}{9}$. 6. Step 4: Simplify $\frac{11}{9} = 1 \frac{2}{9}$. 7. Step 5: Add extra whole number: $8 + 1 \frac{2}{9} = 9 \frac{2}{9}$. Final answer: $9 \frac{2}{9}$. --- 1. Problem: Calculate $4 \frac{1}{2} + 3 \frac{3}{10}$. 2. Formula: Find a common denominator. 3. Step 1: Convert $4 \frac{1}{2}$ to tenths: $4 \frac{1}{2} = 4 \frac{5}{10}$. 4. Step 2: Add whole numbers: $4 + 3 = 7$. 5. Step 3: Add fractions: $\frac{5}{10} + \frac{3}{10} = \frac{8}{10}$. 6. Step 4: Simplify $\frac{8}{10} = \frac{4}{5}$. 7. Step 5: Final sum: $7 \frac{4}{5}$. Final answer: $7 \frac{4}{5}$. --- 1. Problem: Calculate $5 \frac{7}{12} + 4 \frac{3}{4}$. 2. Formula: Find a common denominator. 3. Step 1: Convert $4 \frac{3}{4}$ to twelfths: $4 \frac{3}{4} = 4 \frac{9}{12}$. 4. Step 2: Add whole numbers: $5 + 4 = 9$. 5. Step 3: Add fractions: $\frac{7}{12} + \frac{9}{12} = \frac{16}{12}$. 6. Step 4: Simplify $\frac{16}{12} = 1 \frac{4}{12} = 1 \frac{1}{3}$. 7. Step 5: Add extra whole number: $9 + 1 \frac{1}{3} = 10 \frac{1}{3}$. Final answer: $10 \frac{1}{3}$.