Let's go through each sum step by step.

1. $2 \frac{10}{12} + 3 \frac{3}{12}$

• Whole numbers: $2 + 3 = 5$
• Fractions: $\frac{10}{12} + \frac{3}{12} = \frac{13}{12} = 1 \frac{1}{12}$
• Final sum: $5 + 1 \frac{1}{12} = 6 \frac{1}{12}$

2. $1 \frac{3}{8} + 3 \frac{6}{8}$

• Whole numbers: $1 + 3 = 4$
• Fractions: $\frac{3}{8} + \frac{6}{8} = \frac{9}{8} = 1 \frac{1}{8}$
• Final sum: $4 + 1 \frac{1}{8} = 5 \frac{1}{8}$

3. $5 \frac{4}{10} + 4 \frac{2}{10}$

• Whole numbers: $5 + 4 = 9$
• Fractions: $\frac{4}{10} + \frac{2}{10} = \frac{6}{10} = \frac{3}{5}$ (simplified)
• Final sum: $9 \frac{3}{5}$

4. $10 \frac{2}{6} + \frac{3}{6}$

• Whole numbers: $10$
• Fractions: $\frac{2}{6} + \frac{3}{6} = \frac{5}{6}$
• Final sum: $10 \frac{5}{6}$

5. $3 \frac{3}{12} + 6 \frac{8}{12}$

• Whole numbers: $3 + 6 = 9$
• Fractions: $\frac{3}{12} + \frac{8}{12} = \frac{11}{12}$
• Final sum: $9 \frac{11}{12}$

6. $1 \frac{2}{5} + 3 \frac{1}{5}$

• Whole numbers: $1 + 3 = 4$
• Fractions: $\frac{2}{5} + \frac{1}{5} = \frac{3}{5}$
• Final sum: $4 \frac{3}{5}$

7. $2 \frac{10}{16} + 3 \frac{9}{16}$

• Whole numbers: $2 + 3 = 5$
• Fractions: $\frac{10}{16} + \frac{9}{16} = \frac{19}{16} = 1 \frac{3}{16}$
• Final sum: $5 + 1 \frac{3}{16} = 6 \frac{3}{16}$

8. $2 \frac{2}{6} + 3 \frac{5}{6}$

• Whole numbers: $2 + 3 = 5$
• Fractions: $\frac{2}{6} + \frac{5}{6} = \frac{7}{6} = 1 \frac{1}{6}$
• Final sum: $5 + 1 \frac{1}{6} = 6 \frac{1}{6}$

9. $4 \frac{3}{4} + 2 \frac{2}{4}$

• Whole numbers: $4 + 2 = 6$
• Fractions: $\frac{3}{4} + \frac{2}{4} = \frac{5}{4} = 1 \frac{1}{4}$
• Final sum: $6 + 1 \frac{1}{4} = 7 \frac{1}{4}$

10. $1 \frac{9}{10} + 3 \frac{2}{10}$

• Whole numbers: $1 + 3 = 4$
• Fractions: $\frac{9}{10} + \frac{2}{10} = \frac{11}{10} = 1 \frac{1}{10}$
• Final sum: $4 + 1 \frac{1}{10} = 5 \frac{1}{10}$

11. $1 \frac{8}{12} + 3 \frac{5}{12}$

• Whole numbers: $1 + 3 = 4$
• Fractions: $\frac{8}{12} + \frac{5}{12} = \frac{13}{12} = 1 \frac{1}{12}$
• Final sum: $4 + 1 \frac{1}{12} = 5 \frac{1}{12}$

12. $1 \frac{11}{16} + 2 \frac{5}{16}$

• Whole numbers: $1 + 2 = 3$
• Fractions: $\frac{11}{16} + \frac{5}{16} = \frac{16}{16} = 1$
• Final sum: $3 + 1 = 4$

Summary of Answers:

1. $6 \frac{1}{12}$
2. $5 \frac{1}{8}$
3. $9 \frac{3}{5}$
4. $10 \frac{5}{6}$
5. $9 \frac{11}{12}$
6. $4 \frac{3}{5}$
7. $6 \frac{3}{16}$
8. $6 \frac{1}{6}$
9. $7 \frac{1}{4}$
10. $5 \frac{1}{10}$
11. $5 \frac{1}{12}$
12. $4$

Would you like a detailed explanation for any specific problem?

Further Questions:

1. How do you convert improper fractions to mixed numbers?
2. What is the least common denominator, and why is it useful?
3. How do you simplify fractions in a sum?
4. Can you explain how to add mixed numbers with different denominators?
5. What are real-world applications of mixed number addition?

Tip:

When adding mixed numbers, always simplify fractions before adding to make the calculations easier.