The expression \( -3 \frac{2}{1} + \left( -4 \frac{3}{1} \right) \) can be simplified as follows:

1. Convert the mixed numbers into improper fractions or whole numbers.
   - \( -3 \frac{2}{1} \) is the same as \( -3 - 2 = -5 \).
   - \( -4 \frac{3}{1} \) is the same as \( -4 - 3 = -7 \).

2. Now, simplify the expression:
   \[
   -5 + (-7) = -12
   \]

So, the result is \( -12 \).

Would you like further details or explanations?

Here are 5 related questions:
1. How do you convert mixed numbers into improper fractions?
2. What is the rule for adding two negative numbers?
3. How do you add and subtract fractions?
4. Can you multiply or divide mixed numbers directly?
5. What is the difference between improper fractions and mixed numbers?

**Tip:** When adding negative numbers, think of it as moving left on the number line.

Learn how to simplify the expression -3 2/1 + (-4 3/1) by converting mixed numbers to whole numbers and adding negative integers. A step-by-step explanation is provided, suitable for students in Grades 5-7.

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