The expression in the image is:

$2 \frac{2}{4} + 4 \frac{7}{8}$

Step 1: Convert the mixed numbers to improper fractions.

• $2 \frac{2}{4} = \frac{2 \times 4 + 2}{4} = \frac{8 + 2}{4} = \frac{10}{4}$
• $4 \frac{7}{8} = \frac{4 \times 8 + 7}{8} = \frac{32 + 7}{8} = \frac{39}{8}$

Step 2: Find the common denominator between 4 and 8.

The least common denominator (LCD) is 8.

• Convert $\frac{10}{4}$ to a fraction with denominator 8:
  $\frac{10}{4} = \frac{10 \times 2}{4 \times 2} = \frac{20}{8}$

Step 3: Add the fractions.

Now add $\frac{20}{8} + \frac{39}{8}$: $\frac{20}{8} + \frac{39}{8} = \frac{20 + 39}{8} = \frac{59}{8}$

Step 4: Convert the result back to a mixed number.

$\frac{59}{8} = 7 \frac{3}{8}$

So the final answer is:

$7 \frac{3}{8}$

Would you like further clarification or more details?

Here are 5 related questions to practice:

1. How do you convert any mixed number into an improper fraction?
2. What is the method to find the least common denominator for adding fractions?
3. Can you simplify $\frac{59}{8}$ in a different way?
4. How do you subtract mixed numbers?
5. What is the difference between a proper fraction and an improper fraction?

Tip: When adding or subtracting mixed numbers, always convert them into improper fractions first to make calculations easier!