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Why is 3/8 times 9/27 the same as 9/27 times 3/8
Explain without recangles and area math
>>
because when I see hot a what baabhabhiat my peepee grows from 3/8 inch to 9/27 inch
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can be shown for naturals by induction then integers and rationals follow trivially
not typing it all out for what looks like a troll thread
>>
>>16921992
>why does walking 3/8 of 9/27 miles equal walking 9/27 of 3/8 miles
kill you'reself
>>
>>16921992
>have 3 boxes (A B C) with 5 apples each
>have 5 empty boxes (D E F G H)
>Empty conents of box A to put 1 apple in D E F G and H respectively.
>repeat with Box B and C
>now have 5 boxes with 3 apples each
>still have same number of apples
>[5 groups of 3] = [3 groups of 5]
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because the transformations on the real number line between those two points is symmetric under multiplication.
>>
File: 1728815657211187.jpg (52 KB, 700x526)
52 KB
52 KB JPG
>>16921992
Rational numbers are, by definition, the field of fractions of the integers, and as such they are a field more generally and commutativity of multiplication follows immediately.
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>>16924638
>Rational numbers are, by definition, the field of fractions of the integers
What came first, the field axioms or the numbers?
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>>16924640
Does it matter?
The metre came before the measurement of c, but we use the latter to define the former
>>
dont use fractions, fractions are stupid. use decimal like a sentient being
.375 * .33333 (use as many places as you need for the accuracy you need) = .33333 * .375

If you come across a fraction and don't immediately convert it to decimal then there's no hope for you. Calculators exist for a reason. Fractions don't.



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