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