To solve the expression \(-\frac{7}{4} + \left(-\frac{1}{2}\right)\), we need to follow these steps:

1. **Find a common denominator**: The denominators are 4 and 2. The least common denominator (LCD) is 4.
2. **Convert fractions to have the same denominator**:
   - \(-\frac{1}{2}\) can be converted to \(-\frac{2}{4}\) (since \(\frac{1}{2} = \frac{2}{4}\)).

3. **Add the fractions**:
   \[
   -\frac{7}{4} + \left(-\frac{2}{4}\right) = -\frac{7 + 2}{4} = -\frac{9}{4}
   \]

So, \(-\frac{7}{4} + \left(-\frac{1}{2}\right) = -\frac{9}{4}\).

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the least common denominator (LCD) of two fractions?
2. How do you convert a fraction to an equivalent fraction with a different denominator?
3. How do you add and subtract fractions with the same denominator?
4. What are some methods for simplifying fractions?
5. How can you convert an improper fraction to a mixed number?

**Tip:** Always check to see if you can simplify the fractions after performing operations to make your final answer as simple as possible.

Learn how to add fractions with different denominators using the example -7/4 + (-1/2). This detailed step-by-step solution explains how to find the least common denominator (LCD) and add the fractions. Suitable for students in Grades 6-8.

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