To evaluate the given expression, let's first rewrite it clearly:

$-\left(1 - \frac{1}{4}\right) - \frac{3}{5} \div \frac{1}{5}$

We will solve this step-by-step.

Step 1: Evaluate inside the parentheses

First, simplify $1 - \frac{1}{4}$:

$1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}$

Step 2: Substitute and simplify the division

The expression now becomes:

$-\frac{3}{4} - \frac{3}{5} \div \frac{1}{5}$

To simplify the division part $\frac{3}{5} \div \frac{1}{5}$, multiply by the reciprocal of $\frac{1}{5}$:

$\frac{3}{5} \times 5 = 3$

Step 3: Substitute back into the expression

Now the expression is:

$-\frac{3}{4} - 3$

Step 4: Combine terms

To combine $-\frac{3}{4}$ and $-3$, express $-3$ as a fraction with a denominator of 4:

$-3 = -\frac{12}{4}$

Now add $-\frac{3}{4}$ and $-\frac{12}{4}$:

$-\frac{3}{4} - \frac{12}{4} = -\frac{15}{4}$

Final Answer

The expression evaluates to:

$-\frac{15}{4}$

This can be written as a mixed number:

$-\frac{15}{4} = -3\frac{3}{4}$

So, the answer is $-\frac{15}{4}$ or $-3\frac{3}{4}$.

Would you like more details on any part of the solution, or do you have any other questions?

Here are five related questions for further practice:

1. Evaluate: $2 - \frac{2}{3} \div \frac{1}{6}$.
2. Simplify: $\frac{7}{8} - \frac{5}{8} + 2$.
3. Find the value of: $-2 \times \frac{5}{3} + \frac{4}{3}$.
4. What is $3\frac{1}{2} - 2\frac{3}{4}$ as an improper fraction?
5. Calculate: $\frac{5}{6} \div \frac{1}{2} - \frac{1}{3}$.

Tip: When dividing fractions, multiply by the reciprocal of the divisor to simplify the operation.