How to Simplify a Complex Fraction in Algebra?

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    Algebra Fractions
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Homework Help Overview

The discussion revolves around simplifying a complex fraction in algebra, specifically within the context of calculus. Participants are examining the steps involved in the simplification process and addressing potential errors in the algebraic manipulation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to clarify the simplification steps from one form to another, questioning specific algebraic manipulations and the correctness of denominators. There are inquiries about the origin of certain terms and the rationale behind multiplying by specific factors.

Discussion Status

The discussion is active, with participants providing insights and questioning each other's reasoning. Some have pointed out mistakes and are seeking clarification on the algebraic steps involved. There is no clear consensus yet, as multiple interpretations of the simplification process are being explored.

Contextual Notes

Participants are working within the constraints of algebraic rules and are focused on understanding the simplification of fractions. There is an emphasis on ensuring that all steps are correctly followed, particularly regarding the treatment of denominators.

kwikness
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This is a calculus equation, but I'm having trouble with the algebra part of it.

http://calcchat.tdlc.com/solutionart/calc8e/02/e/se02e01045.gif

I'm confused about how they simplify from step 4 to 5. Can someone help me?
 
Last edited by a moderator:
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\frac{-y+x\left(-\frac x y\right)}{y^2}\cdot\frac{\frac y 1}{\frac y 1}

\frac{-y^2-x^2}{y^3}
 
Last edited:
rocophysics said:
\frac{-y+x\left(-\frac x y\right)}{y^2}\cdot\frac{\frac y 1}{\frac y 1}

\frac{-y^2-x^2}{y^2}

you did a mistake in here! in the denominator.
 
sutupidmath said:
you did a mistake in here! in the denominator.
oops, I was so caught up on my latex I forgot about the denominator.
 
where does the y/w come from?
 
There is no y/w.

The point is, they multiplied the numerator and denominator by y.
 
kwikness said:
where does the y/w come from?
If you mean "y/1", they are just multiplying both numerator and denominator by y.
 
kwikness: If you were asekd to simplify

\frac{1 + \frac{4}{3}}{5}[/itex]<br /> <br /> you could do it, right? What is preventing you from understanding how to simplify the fraction you asked about?
 

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