To multiply \(-\frac{1}{2} \times 1 \frac{4}{5}\), follow these steps:

1. **Convert the mixed number** \(1 \frac{4}{5}\) into an improper fraction:
   \[
   1 \frac{4}{5} = \frac{5 \times 1 + 4}{5} = \frac{9}{5}
   \]

2. **Multiply the fractions**:
   \[
   -\frac{1}{2} \times \frac{9}{5} = \frac{-1 \times 9}{2 \times 5} = \frac{-9}{10}
   \]

So, \(-\frac{1}{2} \times 1 \frac{4}{5} = \frac{-9}{10}\).

Would you like more details on these steps or have any questions?

Here are 5 related questions:
1. How do you add fractions with different denominators?
2. What is the process for dividing fractions?
3. How do you simplify a fraction to its lowest terms?
4. Can you convert a fraction into a decimal?
5. How do you solve equations involving mixed numbers?

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

Learn how to multiply -1/2 by 1 4/5 with a detailed, step-by-step solution. This problem involves converting mixed numbers into improper fractions and multiplying fractions. Suitable for students in Grades 6-8.

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