https://file.aiquickdraw.com/mathbot/file/1728727553958wftk56rc.jpg

The expression in the image is:

\[
\left( -6 \frac{1}{2} \right) \times \left( 2 \frac{1}{3} \right)
\]

This is a multiplication of two mixed numbers. Let's convert them into improper fractions first:

1. Convert \(-6 \frac{1}{2}\) to an improper fraction:
   \[
   -6 \frac{1}{2} = -\left( \frac{6 \times 2 + 1}{2} \right) = -\frac{13}{2}
   \]

2. Convert \(2 \frac{1}{3}\) to an improper fraction:
   \[
   2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}
   \]

Now, multiply the improper fractions:

\[
-\frac{13}{2} \times \frac{7}{3} = \frac{-13 \times 7}{2 \times 3} = \frac{-91}{6}
\]

Thus, the result of the multiplication is:

\[
-\frac{91}{6}
\]

This is the final answer in improper fraction form. Would you like me to convert it to a mixed number or decimal? 

Also, do you want more details or have any questions?

Here are 5 questions to deepen your understanding:
1. How do you convert mixed numbers to improper fractions?
2. How do you multiply fractions?
3. How do you simplify fractions after multiplication?
4. What is the process to convert improper fractions back to mixed numbers?
5. Can you find another example of multiplying mixed numbers?

**Tip:** When multiplying fractions, always check if you can simplify before multiplying to make calculations easier!

Learn how to multiply mixed numbers (-6 1/2) and (2 1/3) with step-by-step instructions. This solution involves converting mixed numbers to improper fractions and multiplying them. Suitable for students in Grades 6-8.

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