Let's solve the expression:

$-\frac{9}{2} + \frac{5}{12}$

Step 1: Find a common denominator.

The least common denominator (LCD) between 2 and 12 is 12.

Step 2: Convert the fractions.

$-\frac{9}{2} = -\frac{9 \times 6}{2 \times 6} = -\frac{54}{12}$

So the expression becomes: $-\frac{54}{12} + \frac{5}{12}$

Step 3: Add the fractions.

Since the denominators are the same, we can subtract the numerators: $-\frac{54}{12} + \frac{5}{12} = \frac{-54 + 5}{12} = \frac{-49}{12}$

Thus, the result is:

$-\frac{49}{12}$

Would you like further details on this?

Here are 5 related questions to expand on this:

1. How do you simplify fractions further if possible?
2. How do you find the least common denominator (LCD)?
3. What are negative fractions and how do they work?
4. How can you convert improper fractions to mixed numbers?
5. What is the difference between adding and subtracting fractions?

Tip: Always ensure the denominators are the same before adding or subtracting fractions!