https://file.aiquickdraw.com/mathbot/file/1725472873888j8hyc1nd.jpg

The image shows a math problem involving the addition of fractions and the addition of negative real numbers. Here's how to solve it:

### Problem Breakdown:
1. **Expression to Add**:
   \[
   -\frac{1}{9} + \left(-\frac{3}{4}\right)
   \]

2. **Rule for Adding Negative Real Numbers**:
   The correct rule selected is:
   - **B. Add absolute values. The answer is negative.**
   
   This means you add the absolute values of the fractions and assign a negative sign to the result.

3. **Finding the Least Common Denominator (LCD)**:
   - The LCD for the denominators 9 and 4 is 36.

4. **Rewrite Fractions with LCD 36**:
   \[
   -\frac{1}{9} = -\frac{4}{36}
   \]
   \[
   -\frac{3}{4} = -\frac{27}{36}
   \]

5. **Add the Fractions**:
   - Combine the fractions:
   \[
   -\frac{4}{36} - \frac{27}{36} = -\frac{31}{36}
   \]

### Final Answer:
\[
-\frac{31}{36}
\]

This is the simplified result of adding \(-\frac{1}{9}\) and \(-\frac{3}{4}\).

---

Do you need any further details or have any questions? Here are some related questions to consider:

1. How do you find the least common denominator for two fractions?
2. What is the difference between adding positive and negative fractions?
3. Why is it important to use the LCD when adding fractions with different denominators?
4. Can you explain the process of converting fractions to equivalent fractions with a common denominator?
5. How would the result change if one of the fractions were positive?

**Tip**: When adding or subtracting fractions, always ensure the denominators are the same before combining the numerators.

Add without using the number line: -1/9 + (-3/4).

Learn how to add negative fractions, including finding the Least Common Denominator (LCD) and applying the rule for adding negative numbers. This guide walks you through the process using the example -1/9 + (-3/4), with a detailed solution suitable for students in Grades 6-8.

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