To solve $1 \frac{2}{5} + \frac{4}{5}$, first convert the mixed number to an improper fraction:

$1 \frac{2}{5} = \frac{5 \times 1 + 2}{5} = \frac{7}{5}$

Now, add the fractions:

$\frac{7}{5} + \frac{4}{5} = \frac{7 + 4}{5} = \frac{11}{5}$

So, $1 \frac{2}{5} + \frac{4}{5} = \frac{11}{5}$, which can also be expressed as $2 \frac{1}{5}$.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you subtract mixed numbers?
2. What is the process to multiply fractions?
3. How can you convert an improper fraction to a mixed number?
4. How do you simplify fractions?
5. How do you add fractions with different denominators?

Tip: When adding fractions, always check if they have the same denominator first.