Let's solve the expression step by step:

The given expression is:

\[
\frac{7}{5} \times \frac{4}{21} \times 3 \times 25
\]

### Step 1: Multiply the fractions
First, we multiply \(\frac{7}{5} \times \frac{4}{21}\).

\[
\frac{7}{5} \times \frac{4}{21} = \frac{7 \times 4}{5 \times 21} = \frac{28}{105}
\]

### Step 2: Simplify \(\frac{28}{105}\)
We can simplify \(\frac{28}{105}\) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 7.

\[
\frac{28}{105} = \frac{28 \div 7}{105 \div 7} = \frac{4}{15}
\]

### Step 3: Multiply \(\frac{4}{15} \times 3\)
Now, multiply \(\frac{4}{15}\) by 3:

\[
\frac{4}{15} \times 3 = \frac{4 \times 3}{15} = \frac{12}{15}
\]

Simplify \(\frac{12}{15}\):

\[
\frac{12}{15} = \frac{12 \div 3}{15 \div 3} = \frac{4}{5}
\]

### Step 4: Multiply \(\frac{4}{5} \times 25\)
Finally, multiply \(\frac{4}{5}\) by 25:

\[
\frac{4}{5} \times 25 = \frac{4 \times 25}{5} = \frac{100}{5} = 20
\]

### Final Answer:
The value of the expression is \( \boxed{20} \).

Would you like any further clarification or details on the steps?

Here are some related questions to explore:

1. How do you simplify fractions efficiently?
2. Can you explain how to multiply and divide fractions?
3. What is the significance of finding the GCD when simplifying fractions?
4. How do you approach multiplying a fraction by a whole number?
5. How can I convert a mixed number into an improper fraction for easier multiplication?

**Tip:** Always simplify fractions early to make calculations easier later!

Solve the math problem involving fraction multiplication and simplification: 7/5 x 4/21 x 3 x 25. This step-by-step solution simplifies fractions using the GCD method and shows how to multiply fractions with whole numbers. Suitable for Grades 6-8.

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