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

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The discussion focuses on simplifying the fraction 12/4 in the context of an indefinite integral. Participants express confusion over handling fractions and provide examples to clarify the process. A specific example involving the expression 1/12 multiplied by 1/(5/4) is analyzed, leading to a step-by-step simplification. The conversation highlights the importance of correctly managing composite and mixed fractions in calculations. Overall, the thread aims to demystify the simplification of fractions in integrals.
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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You have a mathjax typo @fresh_42 ...
 
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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