https://file.aiquickdraw.com/mathbot/file/1726013026558rzowyjcp.jpg

Let's solve the multiplication problem shown in the image. The expression to solve is:

\[
\left(-2 \frac{1}{2}\right) \times 10 \times \frac{5}{6}
\]

### Step 1: Convert the Mixed Number to an Improper Fraction

The first term is a mixed number: \(-2 \frac{1}{2}\). To convert this to an improper fraction:

\[
-2 \frac{1}{2} = -\left(2 \times 2 + 1\right) / 2 = -\frac{5}{2}
\]

### Step 2: Multiply the Fractions

Now we have:

\[
-\frac{5}{2} \times 10 \times \frac{5}{6}
\]

First, multiply \(-\frac{5}{2}\) by \(10\):

\[
-\frac{5}{2} \times 10 = -\frac{5 \times 10}{2} = -\frac{50}{2} = -25
\]

Next, multiply \(-25\) by \(\frac{5}{6}\):

\[
-25 \times \frac{5}{6} = -\frac{25 \times 5}{6} = -\frac{125}{6}
\]

### Final Answer:

The result is \(-\frac{125}{6}\), which is already in its simplest form. This can also be converted to a mixed number if needed:

\[
-\frac{125}{6} = -20 \frac{5}{6}
\]

Would you like a more detailed explanation or have any other questions? 

Here are some related questions you might find interesting:
1. How do you multiply mixed numbers and fractions together?
2. What is the process of converting improper fractions back into mixed numbers?
3. How can you simplify fractions before multiplying them?
4. What are the rules for multiplying negative fractions?
5. How do you check the correctness of your multiplication involving fractions?

**Tip:** When multiplying mixed numbers, always convert them into improper fractions first for easier calculations.

Solve the multiplication problem involving mixed numbers and fractions: -2 1/2 * 10 * 5/6. Learn how to convert mixed numbers to improper fractions and multiply fractions step by step. Suitable for students in Grades 6-8.

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