SOLUTION: umm, hello??? can anybody help me with my algebra problem?? the direction is to "Simplify each of the following complex rational expressions. 2

SOLUTION: umm, hello??? can anybody help me with my algebra problem?? the direction is to "Simplify each of the following complex rational expressions. 2 - 1/[

Question 117079: umm, hello??? can anybody help me with my algebra problem??
the direction is to "Simplify each of the following complex rational expressions.
2 - 1/[2+[1 /{(x-1)/x}]

I'm very sorry because i don't know how to type it in. But i hope you could give me your generous help by answering the question.. thnx!!
_good luck_
_angELz_
Found 2 solutions by jim_thompson5910, edjones:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Simplify to get . What's really happening is I'm taking the reciprocal of this fraction

Multiply 2 by

Distribute

Combine the fractions

Combine like terms

Simplify to get by once again taking the reciprocal

Multiply 2 by

Distribute

Combine the fractions

Distribute the negative

Combine like terms

----------------------------------------------
Answer:

So simplifies to . In other words, . You can verify this if you graph the original and the simplified expressions and you'll notice that they overlap. So this visually verifies our answer.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
2 - 1/[2+[1 /{(x-1)/x}]
1*x/(x-1)=x/(x-1)

2-(x-1)/(3x-2)
=2(3x-2)-(x-1)/(3x-2)
=6x-4-x+1/(3x-2)
=5x-3/3x-2
.
I think, maybe.
.
Ed

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