Can someone please explain to me why fractions are a better alternative to decimals?

Can someone please explain to me why fractions are a better alternative to decimals?

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wolframalpha.com/input/?i=3*.333...
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Try to write 1/3 with decimals

>better
>not prettier

Because decimals are fractions with only powers of ten as the denominator.

Depends if you're actually doing math or just need a useful result. Fractions are pure answers and can be further transformed by calculation as needed. Converting to decimal only cuts off information. If you're doing some engineering all you need is enough places after the decimal and a small enough error at the end.

less expressive and harder to use

Exactly


Can you imagine saying it is 1.0166666666666666667 o'clock instead of 1:01?

fractions look cooler than decimals

REAL NUMBERS CAN'T EXIST

Theyre easier to work with algebraically.

[math]
0.\overline{3}
[/math]

[math] 0.1_3 [/math]

Fractions generalise much more directly when you are considering the fields of fractions...

Because fractions maintain more information (all of it in fact) of a rational number during calculation.

>base 3
>decimal
user, I...

Now try to put that into a calculator or computer, ya dumb fuk.

Fractions are lossless codecs
Decimals are MP3 shit

wolframalpha.com/input/?i=3*.333...

exactly

were you trying to be smart and failed?

Any decent computer algebra system will even let you specify repeating decimals and then convert that back to fractions before doing calculations on it, but you didn't even bother doing that.

>and then convert that back to fractions

prove it

some decimals are irrational and its really annoying to deal with numbers that has no end

1/3 + 1/3 + 1/3 = 1
0,333 + 0,333 + 0,333 != 1

Spotted the CS brainlet who doesn't get maths.

>0,333 + 0,333 + 0,333 != 1

0.333 + 0.333 + 0.333 = 0.999

Also, goddamn euros and their commas.

Firstly, [math]\frac 1 3 \neq 0.333; \; \frac 1 3 = 0.\bar 3 = 0.333...[/math]
Secondly, [math]0.333 + 0.333 + 0.333! \neq 1[/math]

[math] 0.333! + 0.333 + 0.333 ≈ 1.55901886795 [/math]

At best it's the same, at worst it's an approximation.