To simplify the expression \(\frac{-4}{5} \times \frac{10}{16}\), follow these steps:

1. **Multiply the numerators**: 
   \[
   -4 \times 10 = -40
   \]

2. **Multiply the denominators**:
   \[
   5 \times 16 = 80
   \]

   So, the expression becomes:
   \[
   \frac{-40}{80}
   \]

3. **Simplify the fraction**:
   The greatest common divisor (GCD) of 40 and 80 is 40. Simplify the fraction by dividing both the numerator and the denominator by 40:
   \[
   \frac{-40 \div 40}{80 \div 40} = \frac{-1}{2}
   \]

The final simplified result is:

\[
\frac{-1}{2}
\]

Would you like any further explanation or have additional questions?

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Here are some related questions you might find interesting:
1. How do you determine the GCD of two numbers?
2. How do you simplify a fraction when the numerator and denominator have common factors?
3. What are the rules for multiplying negative numbers?
4. How do you convert a fraction to a decimal?
5. How do you handle division of fractions?
6. What is the relationship between fractions and ratios?
7. How do you solve equations involving fractions?
8. How do you simplify complex fractions?

**Tip:** When dealing with fractions, always check if they can be simplified before or after performing operations. This makes calculations more manageable and reduces errors.

Learn how to simplify the expression -4/5 * 10/16 step-by-step. This problem involves multiplication of fractions and simplification techniques. Suitable for students in Grades 6-8.

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