Let's break down the expression step by step:

You wrote the expression as:

\[
\frac{-3 + 1 + 1 + 2}{-5 + 3 + 1 + 4}
\]

### Step 1: Simplify the numerator \((-3 + 1 + 1 + 2)\)
\[
-3 + 1 = -2
\]
\[
-2 + 1 = -1
\]
\[
-1 + 2 = 1
\]
So, the numerator is 1.

### Step 2: Simplify the denominator \((-5 + 3 + 1 + 4)\)
\[
-5 + 3 = -2
\]
\[
-2 + 1 = -1
\]
\[
-1 + 4 = 3
\]
So, the denominator is 3.

### Final Expression:
\[
\frac{1}{3}
\]

The simplified result is:

\[
\frac{1}{3}
\]

Would you like more details or have any questions?

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Here are 5 related questions:
1. How do we simplify fractions with negative numbers?
2. What happens if both the numerator and denominator are negative?
3. How do we handle addition and subtraction of integers?
4. What is the rule for dividing two numbers?
5. How do we simplify expressions with multiple terms?

**Tip:** Always work through operations in the correct order: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

Learn how to simplify the expression -3+1+1+2 divided by -5+3+1+4, following the order of operations. This problem explains integer addition and fraction simplification with negative numbers, suitable for students in Grades 6-8.

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