Select the simplified form of this expression \[ \frac{5 x}{4} \cdot \frac{12}{25 x} \]

To simplify the expression \( \frac{5 x}{4} \cdot \frac{12}{25 x} \), we can start by multiplying the numerators together and the denominators together: \[ \frac{5 x \cdot 12}{4 \cdot 25 x} = \frac{60 x}{100 x} \] Now, we can cancel the \( x \) in the numerator and denominator, assuming \( x \neq 0 \): \[ \frac{60}{100} \] Next, we simplify \( \frac{60}{100} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 20: \[ \frac{60 \div 20}{100 \div 20} = \frac{3}{5} \] Thus, the simplified form of the expression is \[ \frac{3}{5} \]