https://file.aiquickdraw.com/mathbot/file/1726554975581nlal1li2.jpg

The problem in the image is:

\[
-15 \times 2 \frac{4}{5}
\]

To solve this, follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
The mixed number \( 2 \frac{4}{5} \) can be converted to an improper fraction:

\[
2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}
\]

### Step 2: Multiply the numbers.
Now, multiply \( -15 \) by \( \frac{14}{5} \):

\[
-15 \times \frac{14}{5}
\]

This can be done by multiplying \( -15 \) by the numerator of the fraction:

\[
= \frac{-15 \times 14}{5} = \frac{-210}{5}
\]

### Step 3: Simplify the fraction.
Simplify \( \frac{-210}{5} \):

\[
\frac{-210}{5} = -42
\]

### Final Answer:
The answer is \( -42 \).

Would you like any additional details or explanations on this problem?

Here are 5 related questions to expand your understanding:
1. How do you convert other mixed numbers into improper fractions?
2. Can you multiply a negative number with another fraction?
3. How do you handle division when simplifying improper fractions?
4. What happens when multiplying a fraction with a whole number?
5. What rules govern the multiplication of negative numbers?

**Tip:** Always convert mixed numbers into improper fractions before performing any operations like multiplication or division!

Work out -15 × 2 4/5. Give your answer as an integer or as a fraction in its lowest terms.

This problem demonstrates how to multiply -15 by 2 4/5, converting the mixed number to an improper fraction and simplifying the result. It covers multiplication of whole numbers with fractions and handling negative numbers. Suitable for Grades 7-9.

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