The expression in the image is:

$-\frac{2}{5} + \left( -\frac{7}{5} \right)$

To find the sum, we can add the two fractions. Since both fractions have the same denominator, we can directly add the numerators.

$-\frac{2}{5} + \left( -\frac{7}{5} \right) = \frac{-2 + (-7)}{5} = \frac{-9}{5}$

The result is $-\frac{9}{5}$. This is an improper fraction, so we can convert it to a mixed number:

$-\frac{9}{5} = -1 \frac{4}{5}$

Thus, the sum in simplest form is $-1 \frac{4}{5}$.

Would you like further explanation on this, or any other details?

Here are 5 related questions to practice:

1. What is $\frac{3}{7} + \frac{5}{7}$?
2. Subtract $\frac{6}{4} - \frac{3}{4}$ and simplify.
3. Convert $\frac{11}{6}$ into a mixed number.
4. Add $\frac{8}{3} + \frac{4}{3}$ and simplify the result.
5. What is the sum of $\frac{-5}{9} + \frac{-7}{9}$?

Tip: When adding or subtracting fractions, always make sure they have the same denominator before proceeding with the operation.