The image shows the following mixed fractions:

$2 \frac{3}{4} + 3 \frac{2}{3}$

Step-by-Step Solution:

1. Convert the mixed fractions to improper fractions:

   • $2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}$
   • $3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}$

2. Now, add the improper fractions: $\frac{11}{4} + \frac{11}{3}$ To add fractions, find a common denominator. The least common denominator (LCD) of 4 and 3 is 12.

3. Rewrite the fractions with the LCD: $\frac{11}{4} = \frac{11 \times 3}{4 \times 3} = \frac{33}{12}, \quad \frac{11}{3} = \frac{11 \times 4}{3 \times 4} = \frac{44}{12}$

4. Now, add the fractions: $\frac{33}{12} + \frac{44}{12} = \frac{33 + 44}{12} = \frac{77}{12}$

5. Simplify or leave as an improper fraction: $\frac{77}{12}$ This can also be written as a mixed fraction: $\frac{77}{12} = 6 \frac{5}{12}$

Thus, the sum of $2 \frac{3}{4} + 3 \frac{2}{3} = 6 \frac{5}{12}$.

Would you like further details or have any questions?

Here are 5 related questions you can explore:

1. How do you subtract mixed fractions?
2. How do you multiply mixed fractions?
3. What is the process for converting improper fractions back to mixed numbers?
4. How do you handle division of mixed fractions?
5. What are the steps for simplifying improper fractions?

Tip: Always find the least common denominator when adding or subtracting fractions—it helps simplify the calculation process.