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Why operation * not defined in Q 
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#1
Jan2413, 10:44 AM

P: 12

1. The problem statement, all variables and given/known data
Show that l/m * k/n = (l+k)/(m^{2}+n^{2}) can not be defined as an operation in Q when l,k € Z and m, n € Z\{0} I do not know what is the issue here? Should I know something about Q that this not fulfilled by the operation *? 


#2
Jan2413, 10:47 AM

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#3
Jan2413, 12:04 PM

P: 12

Ok.. So the same operation can produce two different results??
So that l/m * k/n = (l+k)/(m2+n2) ≠ (l+k)/((m)^{2}+n^{2}) = l/m * k/n = l/m * k/n 


#4
Jan2413, 12:25 PM

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Why operation * not defined in Q



#5
Jan2413, 01:07 PM

P: 12

Thank you very much jbunniii! Helped me a lot. I think we'll meet again.



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