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The image shows the mixed fraction addition problem:

\[
2 \frac{7}{8} + 1 \frac{1}{4}
\]

### Step-by-Step Solution:

1. **Convert the mixed numbers to improper fractions:**
   - For \( 2 \frac{7}{8} \), multiply the whole number by the denominator and add the numerator:
     \[
     2 \frac{7}{8} = \frac{2 \times 8 + 7}{8} = \frac{16 + 7}{8} = \frac{23}{8}
     \]
   - For \( 1 \frac{1}{4} \), similarly:
     \[
     1 \frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4}
     \]

2. **Find a common denominator:**
   The least common denominator (LCD) between 8 and 4 is 8.

   - Convert \( \frac{5}{4} \) to have the same denominator:
     \[
     \frac{5}{4} = \frac{5 \times 2}{4 \times 2} = \frac{10}{8}
     \]

3. **Add the fractions:**
   Now that both fractions have the same denominator, we can add them:
   \[
   \frac{23}{8} + \frac{10}{8} = \frac{23 + 10}{8} = \frac{33}{8}
   \]

4. **Convert the improper fraction back to a mixed number:**
   Divide 33 by 8:
   \[
   33 \div 8 = 4 \text{ remainder } 1
   \]
   So, \( \frac{33}{8} = 4 \frac{1}{8} \).

### Final Answer:
\[
2 \frac{7}{8} + 1 \frac{1}{4} = 4 \frac{1}{8}
\]

Let me know if you'd like more details or have any questions!

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Here are some related questions:
1. How do you subtract mixed fractions?
2. What is the method to multiply mixed numbers?
3. Can you explain how to divide mixed numbers?
4. What is an improper fraction, and how do you convert it to a mixed number?
5. How do you find the least common denominator of two fractions?

**Tip:** Always convert mixed numbers to improper fractions when performing addition or subtraction—it makes the process simpler!

Solve the mixed fraction addition problem 2 7/8 + 1 1/4 using step-by-step conversion to improper fractions, finding a common denominator, and adding fractions. Suitable for students in Grades 5-7.

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