It's ok to use decimals in fractions

Submitted by onevest in just_post

Each year is, on average, 365.25 days (with two places of precision).

So, if uniformly distributed, today is the birthday of 1/365.25 of the population!

I wouldn't say 4/1461, because 1. We lose the fact that we're dealing with an imprecise number, and 2. It's harder to see that and tie it to the fact that a year is about 365.25 days long.

I will travel back in time and fight my elementary school math teachers now.

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emma wrote at April 14, 2019, 1:09 PM

each year is actually 365.24 days, with two places of precision, on average. we don't use the julian calendar anymore.

:0

i am a Fool

emma wrote at April 14, 2019, 1:36 PM

pope gregory xiii was a fool

hollyhoppet wrote at April 14, 2019, 2:27 PM

moar like poop gregory xiii

hollyhoppet wrote at April 14, 2019, 4:21 PM

you are like a little baby, watch this

https://i.imgur.com/Te1eT8x.png

:(

flabberghaster wrote at April 14, 2019, 3:41 PM

Yes, a fraction is a rational number. The rational numbers are the set Q such that for all x in Q, x = a/b for some integer a and b (b != 0).

Decimal notation is just a different way to write a rational number.

Since Q is closed under division meaning that a rational divided by a rational is guaranteed to return a rational number (except for division by zero), then having a fraction with a decimal in it is valid.

bunnies wrote at April 15, 2019, 5:00 PM

Yes, a fraction is a rational number.

Is this actually true? 1/(2*pi) seems like a perfectly reasonable fraction to me. My intuitive feeling is that a fraction is just one quantity divided by another quantity, no matter the set membership.

flabberghaster wrote at April 16, 2019, 12:04 AM

Oh i thought i remembered them as being rational, and that irrational ones were invalid. But i was wrong.

Flabbergaster demolished by logic and reason