Write the expression as a simplified rational expression
Show your work
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)
+1252 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!
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+37146 I think when you multiply by 6/6 in your solution, you should wind up with
30x + 30 in the numerator.
