Multiply. Write your answer as a fraction in simplest \[ \frac{4}{5} \times \frac{3}{11} \times \frac{1}{4} \]

To multiply the fractions \(\frac{4}{5}\), \(\frac{3}{11}\), and \(\frac{1}{4}\), follow these steps: 1. **Multiply the numerators**: \[ 4 \times 3 \times 1 = 12 \] 2. **Multiply the denominators**: \[ 5 \times 11 \times 4 = 220 \] 3. **Combine the results**: \[ \frac{12}{220} \] 4. **Simplify the fraction**: - Find the greatest common divisor (GCD) of 12 and 220, which is 4. - Divide both the numerator and the denominator by 4: \[ \frac{12 \div 4}{220 \div 4} = \frac{3}{55} \] So, the simplified product of the fractions is: \[ \boxed{\dfrac{3}{55}} \]