1. **Problem:** Find the sum or difference of mixed numbers. 2. **Formula:** To add or subtract mixed numbers, add/subtract the whole numbers and fractions separately. If needed, convert improper fractions and simplify. 3. **Step-by-step solutions:** **1) $3 \frac{4}{5} + 4 \frac{3}{5}$** - Add whole numbers: $3 + 4 = 7$ - Add fractions: $\frac{4}{5} + \frac{3}{5} = \frac{7}{5} = 1 \frac{2}{5}$ - Combine: $7 + 1 \frac{2}{5} = 8 \frac{2}{5}$ **2) $7 \frac{2}{3} - 3 \frac{1}{3}$** - Subtract whole numbers: $7 - 3 = 4$ - Subtract fractions: $\frac{2}{3} - \frac{1}{3} = \frac{1}{3}$ - Combine: $4 \frac{1}{3}$ **3) $4 \frac{7}{12} + 6 \frac{5}{12}$** - Add whole numbers: $4 + 6 = 10$ - Add fractions: $\frac{7}{12} + \frac{5}{12} = \frac{12}{12} = 1$ - Combine: $10 + 1 = 11$ **4) $12 \frac{3}{4} - 6 \frac{1}{4}$** - Subtract whole numbers: $12 - 6 = 6$ - Subtract fractions: $\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$ - Combine: $6 \frac{1}{2}$ **5) $2 \frac{3}{8} + 8 \frac{1}{8}$** - Add whole numbers: $2 + 8 = 10$ - Add fractions: $\frac{3}{8} + \frac{1}{8} = \frac{4}{8} = \frac{1}{2}$ - Combine: $10 \frac{1}{2}$ **6) $11 \frac{9}{10} - 3 \frac{7}{10}$** - Subtract whole numbers: $11 - 3 = 8$ - Subtract fractions: $\frac{9}{10} - \frac{7}{10} = \frac{2}{10} = \frac{1}{5}$ - Combine: $8 \frac{1}{5}$ **7) $7 \frac{3}{5} + 4 \frac{3}{5}$** - Add whole numbers: $7 + 4 = 11$ - Add fractions: $\frac{3}{5} + \frac{3}{5} = \frac{6}{5} = 1 \frac{1}{5}$ - Combine: $11 + 1 \frac{1}{5} = 12 \frac{1}{5}$ **8) $8 \frac{3}{6} - 3 \frac{1}{6}$** - Simplify fractions: $\frac{3}{6} = \frac{1}{2}$ - Subtract whole numbers: $8 - 3 = 5$ - Subtract fractions: $\frac{1}{2} - \frac{1}{6} = \frac{3}{6} - \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$ - Combine: $5 \frac{1}{3}$