How Do You Simplify Complex Fractions with Different Denominators?

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  • Thread starter Thread starter AznBoi
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Discussion Overview

The discussion revolves around the simplification of complex fractions with different denominators, specifically focusing on the expression involving variables and their manipulation. The scope includes mathematical reasoning and problem-solving related to fractions.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents a complex fraction and seeks assistance in combining and simplifying it.
  • Another participant suggests a potential rewriting of the fractions to facilitate simplification.
  • A third participant identifies a common denominator as a(a+3)(a-3) for the fractions involved.
  • A participant expresses understanding that the variable 'a' cannot be transformed into the form of (a+3)(a-3).

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to simplify the fractions, and multiple perspectives on the common denominator and fraction manipulation are presented.

Contextual Notes

There are limitations regarding the assumptions made about the variables and the specific steps required for simplification, which remain unresolved.

Who May Find This Useful

Students or individuals seeking help with simplifying complex fractions and understanding common denominators in algebraic expressions.

AznBoi
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Here is the fraction that I don't know how to combine and simplify, please help me out! Thanks! =]

[tex]\frac{5}{a} + \frac{4}{2a-6} + \frac {-4a}{a^{2}-9}[/tex]

I found the common denominator I think: (x+3)(x-3) .. but how do you make {a} in that form?
 
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If I write it as [tex]\frac{5}{a}+\frac{2}{(a-3)}-\frac{4a}{(a+3)(a-3)}[/tex] does it help?
 
Last edited:
Ok, I didn't see the bit you'd edited. The common denominator will be a(a+3)(a-3).
 
oh ok, I knew there wasn't a way to make {a} into {(a+3)(a-3)}. Thanks for your help! =]
 
You're very welcome!
 

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