Simplifying compound fractions

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Discussion Overview

The discussion revolves around simplifying a compound fraction involving the expression [1/(1+x+h) - 1/(1+x)] / h. Participants are seeking methods to find common denominators for the fractions in the numerator.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant suggests finding a common denominator for the fractions 1+x+h and 1+x.
  • Another participant proposes a specific expression for the common denominator, indicating a multiplication of terms.
  • A third participant mentions a formula for subtracting fractions, which could be applied to the numerator.

Areas of Agreement / Disagreement

There is no clear consensus on the method to simplify the compound fraction, as multiple approaches are suggested without agreement on a single solution.

Contextual Notes

Participants have not fully explored the implications of their proposed methods, and there may be additional assumptions or steps required for complete simplification.

datafiend
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Hi all,
I'm having a problem simplifying this:

[1/(1+x+h) - 1/(1+x)] / h

How do you get the common denominators for the top 2 fractions?

Thanks
 
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Maybe try to find a common denominator for 1+x+h and 1+x.

$(1+x+h)\times(1+h) = x^2+x(2+h)+1+h$
 
Last edited:
In the numerator, I would use:

$$\frac{1}{a}-\frac{1}{b}=\frac{b-a}{ab}$$
 
mark,
thanks again!
 

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