Let's solve the expression step by step:

\[
\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times \frac{-14}{9}
\]

### Step 1: Multiply all the numerators and all the denominators.

Numerators:
\[
-4 \times 3 \times 15 \times -14 = 2520
\]

Denominators:
\[
5 \times 7 \times 16 \times 9 = 5040
\]

So, the expression becomes:

\[
\frac{2520}{5040}
\]

### Step 2: Simplify the fraction.

\[
\frac{2520}{5040} = \frac{1}{2}
\]

Thus, the result of the expression is:

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

Would you like more details, or do you have any other questions?

Here are 5 related questions:
1. How do you simplify fractions like \(\frac{2520}{5040}\)?
2. What are the rules for multiplying negative fractions?
3. How does multiplying fractions differ from adding them?
4. Can you multiply mixed numbers in the same way as fractions?
5. How can prime factorization help in simplifying large fractions?

**Tip:** When multiplying fractions, always simplify before multiplying to reduce your work.

Learn how to multiply fractions and simplify the result using the expression -4/5 * 3/7 * 15/16 * -14/9. This problem covers key concepts such as fraction multiplication, handling negative numbers, and simplifying large fractions using the GCD method. Suitable for students in Grades 6-8.

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