https://file.aiquickdraw.com/mathbot/file/1725669299855ih70g8cy.jpg

The expression in the image is:

\[
-\frac{1}{5} + \frac{7}{10}
\]

To solve this, we need to find a common denominator. The least common denominator (LCD) of 5 and 10 is 10. 

1. Rewrite \(-\frac{1}{5}\) with a denominator of 10:

\[
-\frac{1}{5} = -\frac{2}{10}
\]

2. Now, the expression becomes:

\[
-\frac{2}{10} + \frac{7}{10}
\]

3. Add the fractions:

\[
\frac{-2 + 7}{10} = \frac{5}{10}
\]

4. Simplify \(\frac{5}{10}\):

\[
\frac{5}{10} = \frac{1}{2}
\]

Thus, the result of the expression is:

\[
\frac{1}{2}
\]

Would you like more details or have any questions about this process?

Here are 5 related questions:
1. How do you add fractions with different denominators?
2. What are the steps to find the least common denominator?
3. How do you simplify fractions?
4. How can negative fractions be handled during addition?
5. What is the significance of equivalent fractions?

**Tip:** Always simplify fractions after adding or subtracting to get the final answer in the simplest form.

Learn how to add fractions with different denominators in this problem, where -1/5 is added to 7/10. Follow the steps to find the common denominator, simplify fractions, and handle negative values. Ideal for students in Grades 6-8.

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