Algebra

Simplify [(1)-(1/x+2)] / [(1)- (3/x+4)]

I know I need to find the LMC here, and the answer is (x+4)/(x+2) but I do not know how to get to the answer and how to use the LMC. I need help!

You need to use more parentheses to distiguish (1/x)+ 2 from 1/(x+2), and (3/x)+4 from 3/(x+4)

I will assume you meant 1/(x+2) and 3/(x+4), since some of those terms appear in the answer

[1-1/(x+2)]/[1 - 3/(x+4)]
= [(x+2-1)/(x+2]]/[(x+4-3)/(x+4)]
=[(x+1)/(x+2)]/[(x+1)/(x+4)]
The x+1 terms cancel, leaving you with
(x+4)/(x+2)

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asked by Tammy

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