Evaluate the expression. -4/5 – 1/5 + 1/2 ÷ -1/4 Write your answer as a fraction or as a whole or mixed number.

To evaluate the expression (-frac{4}{5} – frac{1}{5} + frac{1}{2} div -frac{1}{4}), we’ll follow the order of operations, which prioritizes division and multiplication before addition and subtraction.

1. Calculate the division first:

[

frac{1}{2} div -frac{1}{4}

]

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

[

frac{1}{2} times -4 = -frac{4}{2} = -2

]

2. Now substitute this back into the original expression:

[

-frac{4}{5} – frac{1}{5} – 2

]

3. Combine the terms (-frac{4}{5}) and (-frac{1}{5}):

[

-frac{4}{5} – frac{1}{5} = -frac{5}{5} = -1

]

4. Now, we have:

[

-1 – 2 = -3

]

So, the final answer is:

[

boxed{-3}

]

This represents the evaluation of the expression step-by-step, arriving at the solution of