Evaluating the Expression with Negative Fractions

To evaluate the expression:

\[-\frac{3}{4} \times -\frac{1}{5} \div -\frac{1}{4} + -\frac{2}{5}\]

1. **Step 1: Simplify the multiplication and division**

First, evaluate \(-\frac{3}{4} \times -\frac{1}{5}\):

\[ -\frac{3}{4} \times -\frac{1}{5} = \frac{3}{4} \times \frac{1}{5} = \frac{3}{20} \]

Next, divide by \(-\frac{1}{4}\):

Dividing by a fraction is the same as multiplying by its reciprocal:

\[ \frac{3}{20} \div -\frac{1}{4} = \frac{3}{20} \times -4 \ = -\frac{12}{20} = -\frac{3}{5} \]

2. **Step 2: Simplify the addition**

Now we are left with:

\[-\frac{3}{5} + -\frac{2}{5}\]

Combine the fractions:

\[ -\frac{3}{5} - \frac{2}{5} = -\frac{5}{5} = -1\]

3. **Final Result**

The final answer for the evaluated expression is:

-1