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Write the expression as a simplified rational expression

Show your work

 Dec 1, 2018
edited by Guest  Dec 1, 2018
edited by Guest  Dec 1, 2018

Best Answer 

 #1
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+1

Simplify the following:
5/(1/6 + 1 + 1/x)

5/(1/6 + (x+1)/x)

5/(x + 6x + 6) /6x

5/(7x + 6)/6x      cross multiply

30x / (7x + 6)

 Dec 1, 2018
 #1
avatar
+1
Best Answer

Simplify the following:
5/(1/6 + 1 + 1/x)

5/(1/6 + (x+1)/x)

5/(x + 6x + 6) /6x

5/(7x + 6)/6x      cross multiply

30x / (7x + 6)

Guest Dec 1, 2018
 #2
avatar+647 
+1

Multiply by \(\frac{x+1}{x+1}\) and get \(\frac{5(x+1)}{\frac{x+1}{6}+1}\), then multiply by \(\frac{6}{6}\) and get \(\frac{30x+6}{x+7}\) .

 

You are very welcome!

:P

 Dec 1, 2018
 #3
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Thanks man!

Guest Dec 1, 2018
 #4
avatar+18333 
0

I think when you multiply by 6/6 in your solution, you should wind up with

 

30x + 30 in the numerator.

ElectricPavlov  Dec 1, 2018

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