evaluate the expression for ( a = 3 ), ( b=\frac{1}{2} ), and ( c = 4 ).\n( \frac{8ab}{2bc} )\nenter your…
evaluate the expression for ( a = 3 ), ( b=\frac{1}{2} ), and ( c = 4 ).\n( \frac{8ab}{2bc} )\nenter your answer in the box.
Answer
Explanation:
Step1: Substitute the values of (a), (b), and (c) into the expression
Substitute (a = 3), (b=\frac{1}{2}), and (c = 4) into (\frac{8ab}{2bc}). We get (\frac{8\times3\times\frac{1}{2}}{2\times\frac{1}{2}\times4}).
Step2: Simplify the numerator and denominator
- Simplify the numerator: (8\times3\times\frac{1}{2}=(8\times\frac{1}{2})\times3 = 4\times3=12).
- Simplify the denominator: (2\times\frac{1}{2}\times4=(2\times\frac{1}{2})\times4 = 1\times4 = 4). So the expression becomes (\frac{12}{4}).
Step3: Divide to get the final result
(\frac{12}{4}=3).
Answer:
(3)