https://file.aiquickdraw.com/mathbot/file/1725547877603va64h6gp.jpg

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.

Learn how to add negative fractions with common denominators. This example shows how to calculate -2/5 + (-7/5), simplify the result, and convert it from an improper fraction to a mixed number. Suitable for students in Grades 6-8.

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