The expression you provided is:

\[
-\frac{7}{10} - \left( -2 \frac{1}{2} \right)
\]

To solve this:

1. First, convert the mixed number \( -2 \frac{1}{2} \) into an improper fraction:
   \[
   -2 \frac{1}{2} = -\frac{5}{2}
   \]

2. Now rewrite the expression:
   \[
   -\frac{7}{10} - (-\frac{5}{2}) = -\frac{7}{10} + \frac{5}{2}
   \]

3. To add these fractions, we need a common denominator. The least common denominator between 10 and 2 is 10. Convert \(\frac{5}{2}\) to a fraction with denominator 10:
   \[
   \frac{5}{2} = \frac{25}{10}
   \]

4. Now add the fractions:
   \[
   -\frac{7}{10} + \frac{25}{10} = \frac{25 - 7}{10} = \frac{18}{10}
   \]

5. Simplify \(\frac{18}{10}\):
   \[
   \frac{18}{10} = \frac{9}{5}
   \]

So, the result is:

\[
\frac{9}{5} \quad \text{or} \quad 1 \frac{4}{5}
\]

Would you like more details or have any questions about this? Here are some follow-up questions:

1. How do you convert mixed numbers to improper fractions?
2. What is the process of finding a common denominator for adding fractions?
3. How do you simplify fractions?
4. Can you explain why subtracting a negative number is equivalent to addition?
5. What is the general rule for adding and subtracting fractions?

**Tip:** Always remember to simplify fractions when possible!

Learn how to solve the problem –7/10 − –2 1/2 with a detailed explanation. This covers key concepts such as converting mixed numbers to improper fractions, finding a common denominator, and simplifying the result. Ideal for students in Grades 6-8.

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