https://file.aiquickdraw.com/mathbot/file/1726911406869r7p2xiz8.jpg

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!

Learn how to add the mixed numbers 2 2/4 and 4 7/8 by converting them into improper fractions, finding the common denominator, and simplifying the result. A clear and detailed solution suitable for students in Grades 5-7.

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