https://file.aiquickdraw.com/mathbot/file/1727052107283yjw1ltb4.jpg

The image contains the expression:

\[
2 \frac{1}{7} \times (-13.2)
\]

This is a multiplication problem involving a mixed number and a negative decimal.

### Steps to solve:

1. **Convert the mixed number \( 2 \frac{1}{7} \) to an improper fraction**:
   \[
   2 \frac{1}{7} = \frac{15}{7}
   \]
   (since \( 2 \times 7 + 1 = 15 \)).

2. **Multiply the improper fraction by the decimal** \( -13.2 \):
   \[
   \frac{15}{7} \times (-13.2)
   \]

3. **Perform the multiplication**:
   \[
   \frac{15 \times (-13.2)}{7} = \frac{-198}{7}
   \]

4. **Simplify the result**:
   \[
   \frac{-198}{7} \approx -28.29
   \]

So, the result of \( 2 \frac{1}{7} \times (-13.2) \) is approximately **-28.29**.

Would you like further explanation or details on any of these steps?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the general process for multiplying fractions by decimals?
3. How do you handle negative numbers in multiplication?
4. How do you simplify improper fractions to decimals?
5. How can you estimate the result of mixed numbers multiplied by decimals?

**Tip**: Always convert mixed numbers to improper fractions before performing operations like multiplication or division.

What is the result of multiplying the mixed number 2 1/7 by the negative decimal -13.2?

Learn how to multiply the mixed number 2 1/7 by the decimal -13.2 with a step-by-step breakdown. This tutorial covers converting mixed numbers to improper fractions, performing multiplication, and simplifying the result. Suitable for Grades 6-8.

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