MathFoundations9: Fractions
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So far in your system division is only defined when one is a factor of the other. You will have to expand that definition eventually. Why not introduce fractions after that?
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Outstanding.Thank you professor.
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Sorry but that makes no sense to me. I think of fractions as a different notation for division.
That is why 2/3 is 0.66... It's just a matter of doing the division.
The laws of arithmetic for fractions flow naturally from the idea that a fraction is division. You know you can divide both numerator and denominator by a number for the same reason that 3 : 4 = 12 : 16
You are trying to keep things simple. Introducing fractions as being different from division is introducing unnecessary complexity.
gregg4 2 months ago in playlist MathFoundations
@gregg4 Your statement 2/3 is 0.66... does not make sense until you first explain what the object 0.66.. means. Division is fine if one natural number is a factor of the other. If not, we first have to create the object that is the division before we can talk about it. Give it some more thought.
njwildberger 2 months ago