To solve the expression \( \frac{7}{5} \times \frac{4}{21} \times 3 \times 25 \), we can simplify it step by step.
-
Start with the multiplication: \[ \frac{7}{5} \times \frac{4}{21} = \frac{7 \times 4}{5 \times 21} = \frac{28}{105} \]
-
Now multiply \( \frac{28}{105} \) by \( 3 \): \[ \frac{28}{105} \times 3 = \frac{28 \times 3}{105} = \frac{84}{105} \]
-
Now simplify \( \frac{84}{105} \): \[ \frac{84 \div 21}{105 \div 21} = \frac{4}{5} \]
-
Finally, multiply \( \frac{4}{5} \) by \( 25 \): \[ \frac{4}{5} \times 25 = \frac{4 \times 25}{5} = \frac{100}{5} = 20 \]
Thus, the result of the expression \( \frac{7}{5} \times \frac{4}{21} \times 3 \times 25 \) is \( \boxed{20} \).