https://file.aiquickdraw.com/mathbot/file/1726267028712l2ernqke.jpg

The problem displayed is:

\[
4 + \left( -6 \frac{3}{4} \right)
\]

To solve this, let's break it down step by step.

### Step 1: Convert mixed number to an improper fraction
The mixed number \( -6 \frac{3}{4} \) can be converted to an improper fraction:
\[
-6 \frac{3}{4} = -\left( \frac{6 \times 4 + 3}{4} \right) = -\frac{27}{4}
\]

### Step 2: Add \( 4 \) and \( -\frac{27}{4} \)
We rewrite \( 4 \) as a fraction:
\[
4 = \frac{16}{4}
\]

Now we can add the fractions:
\[
\frac{16}{4} + \left( -\frac{27}{4} \right) = \frac{16 - 27}{4} = \frac{-11}{4}
\]

### Step 3: Convert the improper fraction to a mixed number
\[
\frac{-11}{4} = -2 \frac{3}{4}
\]

### Final Answer:
The result is \( -2 \frac{3}{4} \), which is already in simplest form.

---

Would you like further clarification on any step? Here are 5 related questions to explore:

1. How do you convert between mixed numbers and improper fractions?
2. What is the process for adding or subtracting fractions with different denominators?
3. How do you simplify improper fractions?
4. Can you explain why \( -2 \frac{3}{4} \) is a negative mixed number?
5. What are other operations that can be done with rational numbers?

**Tip:** When dealing with mixed numbers, always convert them to improper fractions first before performing operations.

What is 4 + (-6 3/4)? Write the answer as a mixed number in simplest form.

Learn how to solve the problem 4 + (-6 3/4) by converting mixed numbers into improper fractions and performing addition. Follow a step-by-step solution to express the answer as a mixed number in simplest form. Suitable for Grade 6-8 students.

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