How Do You Simplify 12/4 in an Indefinite Integral?

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Discussion Overview

The discussion revolves around simplifying fractions within the context of indefinite integrals, specifically focusing on the fraction 12/4 and related mathematical expressions. Participants seek clarification on handling fractions and their simplifications in integral calculus.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant expresses confusion about simplifying the fraction 12/4 and requests additional examples involving fractions.
  • Another participant poses a question regarding the handling of the expression ##\frac{1}{12}\,\cdot\, \frac{1}{\frac{5}{4}}##, seeking clarification on its simplification.
  • Participants note a mathjax typo and engage in a brief exchange about formatting issues.
  • A participant questions whether a certain fraction is composite or mixed and discusses the implications of substituting a variable in the context of the integral.
  • One participant provides a detailed breakdown of a fraction simplification process, illustrating how to manipulate the terms involved.
  • A later reply indicates that the explanation has made the concept easier to understand.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints on how to simplify fractions and handle expressions in integrals, with no clear consensus reached on the best approach or method.

Contextual Notes

Some participants express uncertainty regarding the definitions of composite versus mixed fractions, and there are unresolved questions about the substitution of variables in the integral context.

NickTesla
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upload_2016-10-12_22-4-35.png


doubt in this fraction in here
upload_2016-10-12_22-1-36.png
Because he, simplify 12 with 4 ?? do not understand!
someone could make another example ,with fraction ! Thank you!
 
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Do you know how to handle ##\frac{1}{12}\,\cdot\, \frac{1}{\frac{5}{4}} = \frac{\frac{1}{12}}{\frac{5}{4}}##?
 
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jim mcnamara said:
You have a mathjax typo @fresh_42 ...
Yeah, failed attempt to enlarge the numbers.
Thanks, anyway!
 
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fresh_42 said:
Do you know how to handle ##\frac{1}{12}\,\cdot\, \frac{1}{\frac{5}{4}} = \frac{\frac{1}{12}}{\frac{5}{4}}##?

fresh 42 Thank you, is composite or Mixed
fraction ?? the account of this? u ^ 5/4, you wrote the same number 1 or u = 1 ?? I then replace u by 1 correct ??
 
NickTesla said:
fresh 42 Thank you, is composite or Mixed
fraction ?? the account of this? u ^ 5/4, you wrote the same number 1 or u = 1 ?? I then replace u by 1 correct ??
No, I left out the ##u-##term. With it, it reads

##-\frac{1}{12}\,\cdot \, \frac{u^{5/4}}{\frac{5}{4}} = -\frac{\frac{1}{12}}{\frac{5}{4}} \,\cdot \, u^{5/4} = -\frac{1}{12} \, \cdot \, \frac{4}{5} \,\cdot \, u^{5/4} = -\frac{1\,\cdot\,4}{12 \,\cdot\, 5}\,\cdot\, u^{5/4} =-\frac{4}{60}\,\cdot\, u^{5/4} = -\frac{1}{15}\,\cdot\, u^{5/4}##

Look at the fractions here and how they are divided!
 
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Thank you, now easier!
 

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