To multiply the fractions \(-\frac{3}{4}\) and \(\frac{2}{5}\), you can follow these steps: 1. Multiply the numerators: \(-3 \times 2 = -6\) 2. Multiply the denominators: \(4 \times 5 = 20\) Now, combine them: \[ -\frac{6}{20} \] Next, simplify the fraction. The numerator and denominator can both be divided by 2: \[ -\frac{6 \div 2}{20 \div 2} = -\frac{3}{10} \] So, \(-\frac{3}{4} \times \frac{2}{5} = -\frac{3}{10}\).