Patel Tyler
07/14/2023 · Elementary School
Simplify the expression. \( \frac{|4-8|-|-7|}{-4} \) \( \frac{|4-8|-|-7|}{-4}=\square \) (Type an integer or a simplified fraction.)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (|4-8|-|-7|)/(-4) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(\left|4-8\right|-\left|-7\right|\right)}{\left(-4\right)}\)
- step1: Remove the parentheses:
\(\frac{\left|4-8\right|-\left|-7\right|}{-4}\)
- step2: Subtract the numbers:
\(\frac{\left|-4\right|-\left|-7\right|}{-4}\)
- step3: Calculate the absolute value:
\(\frac{4-\left|-7\right|}{-4}\)
- step4: Calculate the absolute value:
\(\frac{4-7}{-4}\)
- step5: Subtract the numbers:
\(\frac{-3}{-4}\)
- step6: Reduce the fraction:
\(\frac{3}{4}\)
The simplified expression \( \frac{|4-8|-|-7|}{-4} \) is equal to \( \frac{3}{4} \) or 0.75.
Quick Answer
\( \frac{3}{4} \) or 0.75
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