https://file.aiquickdraw.com/mathbot/file/17278759862807zz2c4tg.jpg

The problem in the image is asking you to multiply \( 1 \frac{2}{5} \times (-8) \).

### Step-by-step solution:

1. **Convert the mixed number to an improper fraction**:
   - \( 1 \frac{2}{5} \) is equal to \( \frac{7}{5} \) because:
     \[
     1 \times 5 + 2 = 7
     \]
   - So the expression becomes \( \frac{7}{5} \times (-8) \).

2. **Multiply the improper fraction by \( -8 \)**:
   \[
   \frac{7}{5} \times (-8) = \frac{7 \times (-8)}{5} = \frac{-56}{5}
   \]

3. **Simplify if necessary**:
   - The product is \( \frac{-56}{5} \), which is already in its simplest form.

So, the correct answer is \( \frac{-56}{5} \), which matches one of the options provided.

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Would you like more details or have any questions?

Here are 5 follow-up questions to deepen your understanding:

1. How do you convert any mixed number to an improper fraction?
2. Why is it important to convert mixed numbers when multiplying fractions?
3. What other operations might require improper fractions instead of mixed numbers?
4. Can you express \( \frac{-56}{5} \) as a decimal?
5. How would the answer change if the original problem used \( (+8) \) instead of \( (-8) \)?

**Tip**: Always simplify your fractions after performing operations to ensure your answer is in its most concise form.

Learn how to solve a Grade 7-level problem involving the multiplication of a mixed number by a negative integer: 1 2/5 × (-8). This step-by-step solution covers fraction conversion and multiplication, with the answer presented in its simplest form.

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