Printable math worksheet featuring exercises on adding mixed numbers, complete with a camel illustration.

To solve the problems involving the addition of mixed numbers, we need to follow these steps:

1. Convert mixed numbers to improper fractions (if necessary).
2. Find a common denominator for the fractions.
3. Add the fractions and then add the whole numbers.
4. Simplify the result to its lowest terms.

Let's solve each problem step by step.

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Problem 1: \( 3 \frac{3}{4} + 2 \frac{1}{2} \)

1. Convert to improper fractions:
- \( 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{4} \)
- \( 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \)

2. Find a common denominator (LCM of 4 and 2 is 4):
- \( \frac{5}{2} = \frac{5 \times 2}{2 \times 2} = \frac{10}{4} \)

3. Add the fractions:
- \( \frac{15}{4} + \frac{10}{4} = \frac{25}{4} \)

4. Convert back to a mixed number:
- \( \frac{25}{4} = 6 \frac{1}{4} \)

Answer: \( 6 \frac{1}{4} \)

---

Problem 2: \( 2 \frac{3}{8} + 2 \frac{4}{8} \)

1. Add the whole numbers and the fractions separately:
- Whole numbers: \( 2 + 2 = 4 \)
- Fractions: \( \frac{3}{8} + \frac{4}{8} = \frac{7}{8} \)

2. Combine:
- \( 4 + \frac{7}{8} = 4 \frac{7}{8} \)

Answer: \( 4 \frac{7}{8} \)

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Problem 3: \( 2 \frac{1}{4} + 1 \frac{3}{8} \)

1. Convert to improper fractions:
- \( 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} \)
- \( 1 \frac{3}{8} = \frac{1 \times 8 + 3}{8} = \frac{11}{8} \)

2. Find a common denominator (LCM of 4 and 8 is 8):
- \( \frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8} \)

3. Add the fractions:
- \( \frac{18}{8} + \frac{11}{8} = \frac{29}{8} \)

4. Convert back to a mixed number:
- \( \frac{29}{8} = 3 \frac{5}{8} \)

Answer: \( 3 \frac{5}{8} \)

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Problem 4: \( 3 \frac{2}{5} + 3 \frac{4}{10} \)

1. Simplify \( \frac{4}{10} \) to \( \frac{2}{5} \):
- \( 3 \frac{4}{10} = 3 \frac{2}{5} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 3 + 3 = 6 \)
- Fractions: \( \frac{2}{5} + \frac{2}{5} = \frac{4}{5} \)

3. Combine:
- \( 6 + \frac{4}{5} = 6 \frac{4}{5} \)

Answer: \( 6 \frac{4}{5} \)

---

Problem 5: \( 4 \frac{1}{6} + 1 \frac{1}{3} \)

1. Convert to improper fractions:
- \( 4 \frac{1}{6} = \frac{4 \times 6 + 1}{6} = \frac{25}{6} \)
- \( 1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3} \)

2. Find a common denominator (LCM of 6 and 3 is 6):
- \( \frac{4}{3} = \frac{4 \times 2}{3 \times 2} = \frac{8}{6} \)

3. Add the fractions:
- \( \frac{25}{6} + \frac{8}{6} = \frac{33}{6} \)

4. Simplify \( \frac{33}{6} \):
- \( \frac{33}{6} = \frac{11}{2} = 5 \frac{1}{2} \)

Answer: \( 5 \frac{1}{2} \)

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Problem 6: \( 2 \frac{2}{3} + 1 \frac{1}{9} \)

1. Find a common denominator (LCM of 3 and 9 is 9):
- \( 2 \frac{2}{3} = 2 \frac{2 \times 3}{3 \times 3} = 2 \frac{6}{9} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 2 + 1 = 3 \)
- Fractions: \( \frac{6}{9} + \frac{1}{9} = \frac{7}{9} \)

3. Combine:
- \( 3 + \frac{7}{9} = 3 \frac{7}{9} \)

Answer: \( 3 \frac{7}{9} \)

---

Problem 7: \( 1 \frac{2}{3} + 1 \frac{3}{6} \)

1. Simplify \( \frac{3}{6} \) to \( \frac{1}{2} \):
- \( 1 \frac{3}{6} = 1 \frac{1}{2} \)

2. Convert to improper fractions:
- \( 1 \frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{5}{3} \)
- \( 1 \frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2} \)

3. Find a common denominator (LCM of 3 and 2 is 6):
- \( \frac{5}{3} = \frac{5 \times 2}{3 \times 2} = \frac{10}{6} \)
- \( \frac{3}{2} = \frac{3 \times 3}{2 \times 3} = \frac{9}{6} \)

4. Add the fractions:
- \( \frac{10}{6} + \frac{9}{6} = \frac{19}{6} \)

5. Convert back to a mixed number:
- \( \frac{19}{6} = 3 \frac{1}{6} \)

Answer: \( 3 \frac{1}{6} \)

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Problem 8: \( 4 \frac{1}{2} + 1 \frac{1}{6} \)

1. Find a common denominator (LCM of 2 and 6 is 6):
- \( 4 \frac{1}{2} = 4 \frac{1 \times 3}{2 \times 3} = 4 \frac{3}{6} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 4 + 1 = 5 \)
- Fractions: \( \frac{3}{6} + \frac{1}{6} = \frac{4}{6} = \frac{2}{3} \)

3. Combine:
- \( 5 + \frac{2}{3} = 5 \frac{2}{3} \)

Answer: \( 5 \frac{2}{3} \)

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Problem 9: \( 1 \frac{3}{4} + 2 \frac{6}{8} \)

1. Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \):
- \( 2 \frac{6}{8} = 2 \frac{3}{4} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 1 + 2 = 3 \)
- Fractions: \( \frac{3}{4} + \frac{3}{4} = \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2} \)

3. Combine:
- \( 3 + 1 \frac{1}{2} = 4 \frac{1}{2} \)

Answer: \( 4 \frac{1}{2} \)

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Problem 10: \( 2 \frac{1}{4} + 2 \frac{7}{8} \)

1. Convert to improper fractions:
- \( 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} \)
- \( 2 \frac{7}{8} = \frac{2 \times 8 + 7}{8} = \frac{23}{8} \)

2. Find a common denominator (LCM of 4 and 8 is 8):
- \( \frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8} \)

3. Add the fractions:
- \( \frac{18}{8} + \frac{23}{8} = \frac{41}{8} \)

4. Convert back to a mixed number:
- \( \frac{41}{8} = 5 \frac{1}{8} \)

Answer: \( 5 \frac{1}{8} \)

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Problem 11: \( 1 \frac{3}{4} + 6 \frac{1}{2} \)

1. Convert to improper fractions:
- \( 1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{7}{4} \)
- \( 6 \frac{1}{2} = \frac{6 \times 2 + 1}{2} = \frac{13}{2} \)

2. Find a common denominator (LCM of 4 and 2 is 4):
- \( \frac{13}{2} = \frac{13 \times 2}{2 \times 2} = \frac{26}{4} \)

3. Add the fractions:
- \( \frac{7}{4} + \frac{26}{4} = \frac{33}{4} \)

4. Convert back to a mixed number:
- \( \frac{33}{4} = 8 \frac{1}{4} \)

Answer: \( 8 \frac{1}{4} \)

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Problem 12: \( 2 \frac{2}{3} + 6 \frac{5}{6} \)

1. Find a common denominator (LCM of 3 and 6 is 6):
- \( 2 \frac{2}{3} = 2 \frac{2 \times 2}{3 \times 2} = 2 \frac{4}{6} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 2 + 6 = 8 \)
- Fractions: \( \frac{4}{6} + \frac{5}{6} = \frac{9}{6} = \frac{3}{2} = 1 \frac{1}{2} \)

3. Combine:
- \( 8 + 1 \frac{1}{2} = 9 \frac{1}{2} \)

Answer: \( 9 \frac{1}{2} \)

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Problem 13: \( 2 \frac{1}{2} + 3 \frac{1}{8} \)

1. Convert to improper fractions:
- \( 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \)
- \( 3 \frac{1}{8} = \frac{3 \times 8 + 1}{8} = \frac{25}{8} \)

2. Find a common denominator (LCM of 2 and 8 is 8):
- \( \frac{5}{2} = \frac{5 \times 4}{2 \times 4} = \frac{20}{8} \)

3. Add the fractions:
- \( \frac{20}{8} + \frac{25}{8} = \frac{45}{8} \)

4. Convert back to a mixed number:
- \( \frac{45}{8} = 5 \frac{5}{8} \)

Answer: \( 5 \frac{5}{8} \)

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Problem 14: \( 2 \frac{3}{4} + 4 \frac{2}{12} \)

1. Simplify \( \frac{2}{12} \) to \( \frac{1}{6} \):
- \( 4 \frac{2}{12} = 4 \frac{1}{6} \)

2. Convert to improper fractions:
- \( 2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4} \)
- \( 4 \frac{1}{6} = \frac{4 \times 6 + 1}{6} = \frac{25}{6} \)

3. Find a common denominator (LCM of 4 and 6 is 12):
- \( \frac{11}{4} = \frac{11 \times 3}{4 \times 3} = \frac{33}{12} \)
- \( \frac{25}{6} = \frac{25 \times 2}{6 \times 2} = \frac{50}{12} \)

4. Add the fractions:
- \( \frac{33}{12} + \frac{50}{12} = \frac{83}{12} \)

5. Convert back to a mixed number:
- \( \frac{83}{12} = 6 \frac{11}{12} \)

Answer: \( 6 \frac{11}{12} \)

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Problem 15: \( 3 \frac{1}{4} + 1 \frac{7}{8} \)

1. Convert to improper fractions:
- \( 3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} \)
- \( 1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{15}{8} \)

2. Find a common denominator (LCM of 4 and 8 is 8):
- \( \frac{13}{4} = \frac{13 \times 2}{4 \times 2} = \frac{26}{8} \)

3. Add the fractions:
- \( \frac{26}{8} + \frac{15}{8} = \frac{41}{8} \)

4. Convert back to a mixed number:
- \( \frac{41}{8} = 5 \frac{1}{8} \)

Answer: \( 5 \frac{1}{8} \)

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Problem 16: \( 4 \frac{1}{8} + 1 \frac{1}{4} \)

1. Find a common denominator (LCM of 8 and 4 is 8):
- \( 1 \frac{1}{4} = 1 \frac{1 \times 2}{4 \times 2} = 1 \frac{2}{8} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 4 + 1 = 5 \)
- Fractions: \( \frac{1}{8} + \frac{2}{8} = \frac{3}{8} \)

3. Combine:
- \( 5 + \frac{3}{8} = 5 \frac{3}{8} \)

Answer: \( 5 \frac{3}{8} \)

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Problem 17: \( 1 \frac{1}{3} + 4 \frac{5}{6} \)

1. Find a common denominator (LCM of 3 and 6 is 6):
- \( 1 \frac{1}{3} = 1 \frac{1 \times 2}{3 \times 2} = 1 \frac{2}{6} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 1 + 4 = 5 \)
- Fractions: \( \frac{2}{6} + \frac{5}{6} = \frac{7}{6} = 1 \frac{1}{6} \)

3. Combine:
- \( 5 + 1 \frac{1}{6} = 6 \frac{1}{6} \)

Answer: \( 6 \frac{1}{6} \)

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Problem 18: \( 1 \frac{5}{8} + 4 \frac{1}{2} \)

1. Convert to improper fractions:
- \( 1 \frac{5}{8} = \frac{1 \times 8 + 5}{8} = \frac{13}{8} \)
- \( 4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2} \)

2. Find a common denominator (LCM of 8 and 2 is 8):
- \( \frac{9}{2} = \frac{9 \times 4}{2 \times 4} = \frac{36}{8} \)

3. Add the fractions:
- \( \frac{13}{8} + \frac{36}{8} = \frac{49}{8} \)

4. Convert back to a mixed number:
- \( \frac{49}{8} = 6 \frac{1}{8} \)

Answer: \( 6 \frac{1}{8} \)

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Problem 19: \( 1 \frac{2}{3} + 3 \frac{4}{6} \)

1. Simplify \( \frac{4}{6} \) to \( \frac{2}{3} \):
- \( 3 \frac{4}{6} = 3 \frac{2}{3} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 1 + 3 = 4 \)
- Fractions: \( \frac{2}{3} + \frac{2}{3} = \frac{4}{3} = 1 \frac{1}{3} \)

3. Combine:
- \( 4 + 1 \frac{1}{3} = 5 \frac{1}{3} \)

Answer: \( 5 \frac{1}{3} \)

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Problem 20: \( 2 \frac{1}{2} + 2 \frac{3}{8} \)

1. Convert to improper fractions:
- \( 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \)
- \( 2 \frac{3}{8} = \frac{2 \times 8 + 3}{8} = \frac{19}{8} \)

2. Find a common denominator (LCM of 2 and 8 is 8):
- \( \frac{5}{2} = \frac{5 \times 4}{2 \times 4} = \frac{20}{8} \)

3. Add the fractions:
- \( \frac{20}{8} + \frac{19}{8} = \frac{39}{8} \)

4. Convert back to a mixed number:
- \( \frac{39}{8} = 4 \frac{7}{8} \)

Answer: \( 4 \frac{7}{8} \)

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Problem 21: \( 2 \frac{5}{6} + 2 \frac{1}{2} \)

1. Convert to improper fractions:
- \( 2 \frac{5}{6} = \frac{2 \times 6 + 5}{6} = \frac{17}{6} \)
- \( 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \)

2. Find a common denominator (LCM of 6 and 2 is 6):
- \( \frac{5}{2} = \frac{5 \times 3}{2 \times 3} = \frac{15}{6} \)

3. Add the fractions:
- \( \frac{17}{6} + \frac{15}{6} = \frac{32}{6} = \frac{16}{3} = 5 \frac{1}{3} \)

Answer: \( 5 \frac{1}{3} \)

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Problem 22: \( 5 \frac{1}{2} + 2 \frac{8}{12} \)

1. Simplify \( \frac{8}{12} \) to \( \frac{2}{3} \):
- \( 2 \frac{8}{12} = 2 \frac{2}{3} \)

2. Convert to improper fractions:
- \( 5 \frac{1}{2} = \frac{5 \times 2 + 1}{2} = \frac{11}{2} \)
- \( 2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{8}{3} \)

3. Find a common denominator (LCM of 2 and 3 is 6):
- \( \frac{11}{2} = \frac{11 \times 3}{2 \times 3} = \frac{33}{6} \)
- \( \frac{8}{3} = \frac{8 \times 2}{3 \times 2} = \frac{16}{6} \)

4. Add the fractions:
- \( \frac{33}{6} + \frac{16}{6} = \frac{49}{6} \)

5. Convert back to a mixed number:
- \( \frac{49}{6} = 8 \frac{1}{6} \)

Answer: \( 8 \frac{1}{6} \)

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Problem 23: \( 4 \frac{1}{3} + 1 \frac{8}{9} \)

1. Find a common denominator (LCM of 3 and 9 is 9):
- \( 4 \frac{1}{3} = 4 \frac{1 \times 3}{3 \times 3} = 4 \frac{3}{9} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 4 + 1 = 5 \)
- Fractions: \( \frac{3}{9} + \frac{8}{9} = \frac{11}{9} = 1 \frac{2}{9} \)

3. Combine:
- \( 5 + 1 \frac{2}{9} = 6 \frac{2}{9} \)

Answer: \( 6 \frac{2}{9} \)

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Problem 24: \( 3 \frac{1}{6} + 1 \frac{2}{3} \)

1. Find a common denominator (LCM of 6 and 3 is 6):
- \( 1 \frac{2}{3} = 1 \frac{2 \times 2}{3 \times 2} = 1 \frac{4}{6} \)

2. Add the whole numbers and the fractions separately:
- Whole numbers: \( 3 + 1 = 4 \)
- Fractions: \( \frac{1}{6} + \frac{4}{6} = \frac{5}{6} \)

3. Combine:
- \( 4 + \frac{5}{6} = 4 \frac{5}{6} \)

Answer: \( 4 \frac{5}{6} \)

---

Final Answers:

\[
\boxed{
\begin{array}{lll}
3 \frac{3}{4} + 2 \frac{1}{2} = 6 \frac{1}{4} & 2 \frac{3}{8} + 2 \frac{4}{8} = 4 \frac{7}{8} \\
2 \frac{1}{4} + 1 \frac{3}{8} = 3 \frac{5}{8} & 3 \frac{2}{5} + 3 \frac{4}{10} = 6 \frac{4}{5} \\
4 \frac{1}{6} + 1 \frac{1}{3} = 5 \frac{1}{2} & 2 \frac{2}{3} + 1 \frac{1}{9} = 3 \frac{7}{9} \\
1 \frac{2}{3} + 1 \frac{3}{6} = 3 \frac{1}{6} & 4 \frac{1}{2} + 1 \frac{1}{6} = 5 \frac{2}{3} & 1 \frac{3}{4} + 2 \frac{6}{8} = 4 \frac{1}{2} \\
2 \frac{1}{4} + 2 \frac{7}{8} = 5 \frac{1}{8} & 1 \frac{3}{4} + 6 \frac{1}{2} = 8 \frac{1}{4} & 2 \frac{2}{3} + 6 \frac{5}{6} = 9 \frac{1}{2} \\
2 \frac{1}{2} + 3 \frac{1}{8} = 5 \frac{5}{8} & 2 \frac{3}{4} + 4 \frac{2}{12} = 6 \frac{11}{12} & 3 \frac{1}{4} + 1 \frac{7}{8} = 5 \frac{1}{8} \\
4 \frac{1}{8} + 1 \frac{1}{4} = 5 \frac{3}{8} & 1 \frac{1}{3} + 4 \frac{5}{6} = 6 \frac{1}{6} & 1 \frac{5}{8} + 4 \frac{1}{2} = 6 \frac{1}{8} \\
1 \frac{2}{3} + 3 \frac{4}{6} = 5 \frac{1}{3} & 2 \frac{1}{2} + 2 \frac{3}{8} = 4 \frac{7}{8} & 2 \frac{5}{6} + 2 \frac{1}{2} = 5 \frac{1}{3} \\
5 \frac{1}{2} + 2 \frac{8}{12} = 8 \frac{1}{6} & 4 \frac{1}{3} + 1 \frac{8}{9} = 6 \frac{2}{9} & 3 \frac{1}{6} + 1 \frac{2}{3} = 4 \frac{5}{6} \\
\end{array}
}
\]