To solve the expression \(-\frac{7}{4} \times \frac{2}{21} \times \frac{14}{8}\), follow these steps:

### Step 1: Multiply the numerators.
\[
-7 \times 2 \times 14 = -196
\]

### Step 2: Multiply the denominators.
\[
4 \times 21 \times 8 = 672
\]

### Step 3: Simplify the fraction \(\frac{-196}{672}\).
First, find the greatest common divisor (GCD) of 196 and 672. The GCD is 28.

### Step 4: Divide both numerator and denominator by their GCD.
\[
\frac{-196}{672} = \frac{-196 \div 28}{672 \div 28} = \frac{-7}{24}
\]

So, the simplified result is:
\[
-\frac{7}{24}
\]

Let me know if you'd like further details or explanations!

### Related Questions:
1. How do you find the GCD of two numbers?
2. What is the process for multiplying fractions?
3. How do you simplify fractions involving negative numbers?
4. What are the steps for multiplying more than two fractions?
5. How can you convert improper fractions into mixed numbers?

### Tip:
When multiplying fractions, always check if you can cancel common factors between the numerator of one fraction and the denominator of another before multiplying to simplify the calculations.

Learn how to solve the multiplication of fractions -7/4 x 2/21 x 14/8 step by step. This guide explains how to multiply fractions, simplify the result using the greatest common divisor (GCD), and provides a simplified answer of -7/24. Suitable for students in Grades 5-7.

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