To simplify the expression \( \frac{5}{-2} + \frac{2}{7} \), follow these steps:

1. Rewrite \( \frac{5}{-2} \) as \( -\frac{5}{2} \).
   \[
   -\frac{5}{2} + \frac{2}{7}
   \]

2. Find a common denominator between 2 and 7, which is 14.

3. Rewrite both fractions with a denominator of 14:
   \[
   -\frac{5}{2} = -\frac{35}{14}, \quad \frac{2}{7} = \frac{4}{14}
   \]

4. Now, combine the two fractions:
   \[
   -\frac{35}{14} + \frac{4}{14} = \frac{-35 + 4}{14} = \frac{-31}{14}
   \]

Thus, the simplified form of the expression is \( \frac{-31}{14} \).

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### Related Questions:
1. How do you convert improper fractions to mixed numbers?
2. What are the steps for adding fractions with different denominators?
3. How do you handle negative fractions in simplification?
4. What is the least common denominator and how is it used?
5. How do you check if a fraction is in its simplest form?

**Tip:** Always look for common denominators when adding or subtracting fractions with different denominators!

Simplify the fraction expression 5/-2 + 2/7 by finding a common denominator and combining negative and positive fractions. Follow a detailed step-by-step guide suitable for students in Grades 6-8.

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