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2

Admittedly, a fraction has twice as many components as (say) an integer, and these components greatly increase the numbers of ways they might interact, in a combinatorial fashion. Consider an arbitrary binary operation on integers: $a \odot b$. With only two components to the arguments, there is only a single relation that needs consideration: the one ...


3

I dont know for sure. But I think a part of the problem comes from notation. I dont know how youve approached math education, but I find that students are often times confused by the distinction and overlap between the concept of division and the concept of fractions. I think the cause of this confusion is found in the notation we use and the order in ...


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