https://file.aiquickdraw.com/mathbot/file/172969583488721759dw9.jpg

The problem you uploaded asks to find the result of the expression:

\[
-1 - 4 \frac{2}{3}
\]

### Step-by-Step Solution:

1. **Convert the mixed number to an improper fraction:**
   \( 4 \frac{2}{3} \) is the same as \( \frac{14}{3} \), because:
   \[
   4 \frac{2}{3} = 4 + \frac{2}{3} = \frac{12}{3} + \frac{2}{3} = \frac{14}{3}
   \]

2. **Rewrite the expression:**
   \[
   -1 - 4 \frac{2}{3} = -1 - \frac{14}{3}
   \]

3. **Convert -1 into a fraction with a denominator of 3:**
   \[
   -1 = \frac{-3}{3}
   \]
   So the expression becomes:
   \[
   \frac{-3}{3} - \frac{14}{3}
   \]

4. **Combine the fractions:**
   Since the denominators are the same, you can subtract the numerators:
   \[
   \frac{-3 - 14}{3} = \frac{-17}{3}
   \]

5. **Result:**
   The answer is \( \frac{-17}{3} \), which is approximately \(-5 \frac{2}{3}\).

### Modeling on the Number Line:
- Start at \(-1\).
- Subtract \(4 \frac{2}{3}\), which is approximately 5.67.
- This takes you past \(-5\) to somewhere near \(-5 \frac{2}{3}\), as shown on the number line.

Let me know if you want more details or have any questions!

### Related Questions:
1. How do you convert a mixed number to an improper fraction?
2. What are the steps to subtract fractions with the same denominator?
3. How do you represent negative fractions on a number line?
4. What is the significance of using a common denominator when working with fractions?
5. How do you model fraction operations visually using a number line?

**Tip:** When subtracting mixed numbers, always convert them to improper fractions first for easier calculations!

Find -1 - 4 2/3 and model the expression on the number line.

Learn how to subtract mixed numbers, specifically solving -1 - 4 2/3, by converting to improper fractions and using a number line for visual representation. This step-by-step guide is ideal for Grade 7 students.

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