1. The problem is to add the mixed fractions $3 \frac{1}{4} + 3 \frac{5}{8}$. Step 1: Convert to improper fractions: $3 \frac{1}{4} = \frac{13}{4}$, $3 \frac{5}{8} = \frac{29}{8}$. Step 2: Find common denominator: LCM of 4 and 8 is 8. Step 3: Rewrite fractions: $\frac{13}{4} = \frac{26}{8}$. Step 4: Add: $\frac{26}{8} + \frac{29}{8} = \frac{55}{8}$. Step 5: Convert back to mixed fraction: $\frac{55}{8} = 6 \frac{7}{8}$. 2. Add $9 \frac{9}{10} + 2 \frac{3}{5}$. Step 1: Convert to improper fractions: $9 \frac{9}{10} = \frac{99}{10}$, $2 \frac{3}{5} = \frac{13}{5}$. Step 2: LCM of 10 and 5 is 10. Step 3: Rewrite fractions: $\frac{13}{5} = \frac{26}{10}$. Step 4: Add: $\frac{99}{10} + \frac{26}{10} = \frac{125}{10}$. Step 5: Convert to mixed fraction: $\frac{125}{10} = 12 \frac{1}{2}$. 3. Add $3 \frac{5}{11} + 7 \frac{2}{3}$. Step 1: Convert: $3 \frac{5}{11} = \frac{38}{11}$, $7 \frac{2}{3} = \frac{23}{3}$. Step 2: LCM of 11 and 3 is 33. Step 3: Rewrite fractions: $\frac{38}{11} = \frac{114}{33}$, $\frac{23}{3} = \frac{253}{33}$. Step 4: Add: $\frac{114}{33} + \frac{253}{33} = \frac{367}{33}$. Step 5: Convert: $\frac{367}{33} = 11 \frac{4}{33}$. 4. Add $5 \frac{2}{8} + 2 \frac{4}{10}$. Step 1: Convert: $5 \frac{2}{8} = \frac{42}{8}$, $2 \frac{4}{10} = \frac{24}{10}$. Step 2: LCM of 8 and 10 is 40. Step 3: Rewrite: $\frac{42}{8} = \frac{210}{40}$, $\frac{24}{10} = \frac{96}{40}$. Step 4: Add: $\frac{210}{40} + \frac{96}{40} = \frac{306}{40}$. Step 5: Simplify: $\frac{306}{40} = \frac{153}{20} = 7 \frac{13}{20}$.