To add and convert $2 \frac{4}{5} + 4 \frac{4}{5}$:

Step 1: Convert mixed numbers to improper fractions

1. $2 \frac{4}{5} = \frac{(2 \cdot 5) + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}$
2. $4 \frac{4}{5} = \frac{(4 \cdot 5) + 4}{5} = \frac{20 + 4}{5} = \frac{24}{5}$

Step 2: Add the improper fractions

$\frac{14}{5} + \frac{24}{5} = \frac{14 + 24}{5} = \frac{38}{5}$

Step 3: Convert the improper fraction back to a mixed number

$\frac{38}{5} = 7 \, \text{remainder} \, 3 = 7 \frac{3}{5}$

Final Answer:

$2 \frac{4}{5} + 4 \frac{4}{5} = 7 \frac{3}{5}$

Would you like further explanation or details on this calculation?

Related Questions:

1. How do you subtract two mixed numbers?
2. How do you multiply two mixed numbers?
3. What is the process to convert a decimal to a fraction?
4. How do you simplify improper fractions?
5. How can you verify mixed number operations?

Tip:

When adding or subtracting mixed numbers, always ensure the denominators are the same before combining fractions.