Students can practice their fraction skills by solving these 14 mixed number addition problems.

To solve the problem of adding mixed numbers, we need to follow these steps:

1. Convert mixed numbers to improper fractions.
2. Find a common denominator for the fractions.
3. Add the fractions and the whole numbers separately.
4. Simplify the result if necessary.

Let's solve each problem step by step.

---

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

#### Step 1: Convert mixed numbers to improper fractions.
- \( 4 \frac{3}{6} = 4 + \frac{3}{6} = \frac{24}{6} + \frac{3}{6} = \frac{27}{6} \)
- \( 2 \frac{2}{8} = 2 + \frac{2}{8} = \frac{16}{8} + \frac{2}{8} = \frac{18}{8} \)

#### Step 2: Find a common denominator.
The denominators are 6 and 8. The least common denominator (LCD) is 24.

- Convert \( \frac{27}{6} \) to a fraction with denominator 24:
\[
\frac{27}{6} = \frac{27 \times 4}{6 \times 4} = \frac{108}{24}
\]
- Convert \( \frac{18}{8} \) to a fraction with denominator 24:
\[
\frac{18}{8} = \frac{18 \times 3}{8 \times 3} = \frac{54}{24}
\]

#### Step 3: Add the fractions.
\[
\frac{108}{24} + \frac{54}{24} = \frac{108 + 54}{24} = \frac{162}{24}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{162}{24} \):
\[
\frac{162}{24} = \frac{27}{4} = 6 \frac{3}{4}
\]

So, the answer is:
\[
\boxed{6 \frac{3}{4}}
\]

---

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

#### Step 1: Convert mixed numbers to improper fractions.
- \( 5 \frac{1}{5} = 5 + \frac{1}{5} = \frac{25}{5} + \frac{1}{5} = \frac{26}{5} \)
- \( 2 \frac{2}{4} = 2 + \frac{2}{4} = \frac{8}{4} + \frac{2}{4} = \frac{10}{4} \)

#### Step 2: Find a common denominator.
The denominators are 5 and 4. The least common denominator (LCD) is 20.

- Convert \( \frac{26}{5} \) to a fraction with denominator 20:
\[
\frac{26}{5} = \frac{26 \times 4}{5 \times 4} = \frac{104}{20}
\]
- Convert \( \frac{10}{4} \) to a fraction with denominator 20:
\[
\frac{10}{4} = \frac{10 \times 5}{4 \times 5} = \frac{50}{20}
\]

#### Step 3: Add the fractions.
\[
\frac{104}{20} + \frac{50}{20} = \frac{104 + 50}{20} = \frac{154}{20}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{154}{20} \):
\[
\frac{154}{20} = \frac{77}{10} = 7 \frac{7}{10}
\]

So, the answer is:
\[
\boxed{7 \frac{7}{10}}
\]

---

Problem 3: \( 4 \frac{6}{7} + 5 \frac{3}{5} \)

#### Step 1: Convert mixed numbers to improper fractions.
- \( 4 \frac{6}{7} = 4 + \frac{6}{7} = \frac{28}{7} + \frac{6}{7} = \frac{34}{7} \)
- \( 5 \frac{3}{5} = 5 + \frac{3}{5} = \frac{25}{5} + \frac{3}{5} = \frac{28}{5} \)

#### Step 2: Find a common denominator.
The denominators are 7 and 5. The least common denominator (LCD) is 35.

- Convert \( \frac{34}{7} \) to a fraction with denominator 35:
\[
\frac{34}{7} = \frac{34 \times 5}{7 \times 5} = \frac{170}{35}
\]
- Convert \( \frac{28}{5} \) to a fraction with denominator 35:
\[
\frac{28}{5} = \frac{28 \times 7}{5 \times 7} = \frac{196}{35}
\]

#### Step 3: Add the fractions.
\[
\frac{170}{35} + \frac{196}{35} = \frac{170 + 196}{35} = \frac{366}{35}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{366}{35} \):
\[
\frac{366}{35} = 10 \frac{16}{35}
\]

So, the answer is:
\[
\boxed{10 \frac{16}{35}}
\]

---

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

#### Step 1: Convert mixed numbers to improper fractions.
- \( 2 \frac{5}{10} = 2 + \frac{5}{10} = \frac{20}{10} + \frac{5}{10} = \frac{25}{10} \)
- \( 3 \frac{2}{5} = 3 + \frac{2}{5} = \frac{15}{5} + \frac{2}{5} = \frac{17}{5} \)

#### Step 2: Find a common denominator.
The denominators are 10 and 5. The least common denominator (LCD) is 10.

- Convert \( \frac{17}{5} \) to a fraction with denominator 10:
\[
\frac{17}{5} = \frac{17 \times 2}{5 \times 2} = \frac{34}{10}
\]

#### Step 3: Add the fractions.
\[
\frac{25}{10} + \frac{34}{10} = \frac{25 + 34}{10} = \frac{59}{10}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{59}{10} \):
\[
\frac{59}{10} = 5 \frac{9}{10}
\]

So, the answer is:
\[
\boxed{5 \frac{9}{10}}
\]

---

Problem 5: \( 5 \frac{1}{5} + 2 \frac{3}{7} \)

#### Step 1: Convert mixed numbers to improper fractions.
- \( 5 \frac{1}{5} = 5 + \frac{1}{5} = \frac{25}{5} + \frac{1}{5} = \frac{26}{5} \)
- \( 2 \frac{3}{7} = 2 + \frac{3}{7} = \frac{14}{7} + \frac{3}{7} = \frac{17}{7} \)

#### Step 2: Find a common denominator.
The denominators are 5 and 7. The least common denominator (LCD) is 35.

- Convert \( \frac{26}{5} \) to a fraction with denominator 35:
\[
\frac{26}{5} = \frac{26 \times 7}{5 \times 7} = \frac{182}{35}
\]
- Convert \( \frac{17}{7} \) to a fraction with denominator 35:
\[
\frac{17}{7} = \frac{17 \times 5}{7 \times 5} = \frac{85}{35}
\]

#### Step 3: Add the fractions.
\[
\frac{182}{35} + \frac{85}{35} = \frac{182 + 85}{35} = \frac{267}{35}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{267}{35} \):
\[
\frac{267}{35} = 7 \frac{22}{35}
\]

So, the answer is:
\[
\boxed{7 \frac{22}{35}}
\]

---

Problem 6: \( 4 \frac{2}{12} + 2 \frac{3}{8} \)

#### Step 1: Convert mixed numbers to improper fractions.
- \( 4 \frac{2}{12} = 4 + \frac{2}{12} = \frac{48}{12} + \frac{2}{12} = \frac{50}{12} \)
- \( 2 \frac{3}{8} = 2 + \frac{3}{8} = \frac{16}{8} + \frac{3}{8} = \frac{19}{8} \)

#### Step 2: Find a common denominator.
The denominators are 12 and 8. The least common denominator (LCD) is 24.

- Convert \( \frac{50}{12} \) to a fraction with denominator 24:
\[
\frac{50}{12} = \frac{50 \times 2}{12 \times 2} = \frac{100}{24}
\]
- Convert \( \frac{19}{8} \) to a fraction with denominator 24:
\[
\frac{19}{8} = \frac{19 \times 3}{8 \times 3} = \frac{57}{24}
\]

#### Step 3: Add the fractions.
\[
\frac{100}{24} + \frac{57}{24} = \frac{100 + 57}{24} = \frac{157}{24}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{157}{24} \):
\[
\frac{157}{24} = 6 \frac{13}{24}
\]

So, the answer is:
\[
\boxed{6 \frac{13}{24}}
\]

---

Problem 7: \( 7 \frac{1}{9} + 5 \frac{2}{6} \)

#### Step 1: Convert mixed numbers to improper fractions.
- \( 7 \frac{1}{9} = 7 + \frac{1}{9} = \frac{63}{9} + \frac{1}{9} = \frac{64}{9} \)
- \( 5 \frac{2}{6} = 5 + \frac{2}{6} = \frac{30}{6} + \frac{2}{6} = \frac{32}{6} \)

#### Step 2: Find a common denominator.
The denominators are 9 and 6. The least common denominator (LCD) is 18.

- Convert \( \frac{64}{9} \) to a fraction with denominator 18:
\[
\frac{64}{9} = \frac{64 \times 2}{9 \times 2} = \frac{128}{18}
\]
- Convert \( \frac{32}{6} \) to a fraction with denominator 18:
\[
\frac{32}{6} = \frac{32 \times 3}{6 \times 3} = \frac{96}{18}
\]

#### Step 3: Add the fractions.
\[
\frac{128}{18} + \frac{96}{18} = \frac{128 + 96}{18} = \frac{224}{18}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{224}{18} \):
\[
\frac{224}{18} = \frac{112}{9} = 12 \frac{4}{9}
\]

So, the answer is:
\[
\boxed{12 \frac{4}{9}}
\]

---

Problem 8: \( 5 \frac{4}{7} + 1 \frac{3}{4} \)

#### Step 1: Convert mixed numbers to improper fractions.
- \( 5 \frac{4}{7} = 5 + \frac{4}{7} = \frac{35}{7} + \frac{4}{7} = \frac{39}{7} \)
- \( 1 \frac{3}{4} = 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \)

#### Step 2: Find a common denominator.
The denominators are 7 and 4. The least common denominator (LCD) is 28.

- Convert \( \frac{39}{7} \) to a fraction with denominator 28:
\[
\frac{39}{7} = \frac{39 \times 4}{7 \times 4} = \frac{156}{28}
\]
- Convert \( \frac{7}{4} \) to a fraction with denominator 28:
\[
\frac{7}{4} = \frac{7 \times 7}{4 \times 7} = \frac{49}{28}
\]

#### Step 3: Add the fractions.
\[
\frac{156}{28} + \frac{49}{28} = \frac{156 + 49}{28} = \frac{205}{28}
\]

#### Step 4: Simplify the result.
Simplify \( \frac{205}{28} \):
\[
\frac{205}{28} = 7 \frac{9}{28}
\]

So, the answer is:
\[
\boxed{7 \frac{9}{28}}
\]

---

Final Answer

\[
\boxed{6 \frac{3}{4}, 7 \frac{7}{10}, 10 \frac{16}{35}, 5 \frac{9}{10}, 7 \frac{22}{35}, 6 \frac{13}{24}, 12 \frac{4}{9}, 7 \frac{9}{28}}
\]