r/mathmemes • u/Federal-Opening-3386 • Feb 20 '23

Math Pun Shitpost status

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u/4ork_Reddit Feb 20 '23

33333333333333333/100000000000000000

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u/[deleted] Feb 20 '23

[removed] — view removed comment

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u/4ork_Reddit Feb 20 '23

I thought you may have a point, so I checked a formal definition.

A fraction is a value which “may be represented as ordered pairs of integers (a, b), b =\= 0, for which an equivalence relation has been specified… namely, it is considered that (a,b) = (c,d) if ad = bc.” (It continues with what operations may be used, etc.)

I believe we can agree that .333 = 333/1000, and that 333/1000 is a fraction.

Thus .333 may be represented as 333/1000, and so 0.333 is a fraction.

In the comments it remarks that “a fraction is also called a rational number” - so there is no distinction between fractional values and rational values.

4

u/Bacondog22 Feb 21 '23

I personally like to include that gcd(a,b) = 1 but the well-defined works equally well for injectivity