d) \( (-3,2)-(-2,3)-\left(+\frac{3}{4}\right)-\left(-\frac{3}{5}\right)= \)

To solve the expression \( (-3,2)-(-2,3)-\left(+\frac{3}{4}\right)-\left(-\frac{3}{5}\right) \), we will break it down step by step. First, we will define the operation between the first two points in the expression. Let's treat this as a vector equation. 1. **Calculating the first subtraction:** \[ (-3, 2) - (-2, 3) = (-3 + 2, 2 - 3) = (-1, -1) \] 2. **Now, we will handle the two fractions:** - \( -\left(+\frac{3}{4}\right) = -\frac{3}{4} \) - \( -\left(-\frac{3}{5}\right) = +\frac{3}{5} \) 3. **Combining these:** The expression now reads \( (-1, -1) - \frac{3}{4} + \frac{3}{5} \). 4. **This means subtracting and adding the fractions from the y-coordinate:** \[ -1 - \frac{3}{4} + \frac{3}{5} \] Now, let's convert \(-1\) into a fraction for easier computation: \[ -1 = -\frac{20}{20} \] Therefore, \[ -\frac{20}{20} - \frac{3}{4} + \frac{3}{5} = -\frac{20}{20} - \frac{15}{20} + \frac{12}{20} \] Combining these gives: \[ -\frac{20 + 15 - 12}{20} = -\frac{23}{20} \] 5. **Final step: Combine x-coordinates:** At this point, the vector is: \[ (-1, -\frac{23}{20}) \] Thus, the final answer is: \[ (-1, -\frac{23}{20}) \]