Solution:
1. Convert mixed fractions and decimals to fractions.
- -0.75 = -\frac{3}{4}
- \frac{2}{5} stays the same.
- 1 \frac{3}{5} = \frac{8}{5}
2. Calculate the products.
- First product: -0.75 \times \frac{2}{5} = -\frac{3}{4} \times \frac{2}{5} = -\frac{6}{20} = -\frac{3}{10}
- Second product: -0.5 \times 1 \frac{3}{5} = -\frac{1}{2} \times \frac{8}{5} = -\frac{8}{10} = -\frac{4}{5}
3. Subtract the second product from the first product:
- -\frac{3}{10} - \left(-\frac{4}{5}\right) = -\frac{3}{10} + \frac{4}{5}
4. Convert fractions to a common denominator:
- Convert \frac{4}{5} to a denominator of 10: \frac{4}{5} = \frac{8}{10}
5. Perform the subtraction:
- -\frac{3}{10} + \frac{8}{10} = \frac{5}{10} = \frac{1}{2}
6. The final result is:
\frac{1}{2}.