How is this possible \[\frac{1}{4}-\frac{3}{8} = \frac{1}{2}\]

- ganeshie8

How is this possible \[\frac{1}{4}-\frac{3}{8} = \frac{1}{2}\]

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- schrodinger

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- Astrophysics

It's not :o

- CLOBBER02

help me

- ganeshie8

just found an awesome reasoning for how that is possible from one of our users xD

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## More answers

- Astrophysics

Haha, that's great :))

- random231

rofl xD

- random231

wow youre a patient helper ganeshie ;)

- UnkleRhaukus

\[\frac14-\frac38\\
=^? \frac{1-3}{4-8}\\
= \frac24\\
=\frac12\\
\]

- ganeshie8

Haha was just thrilled by how that user came up with such cute reasoning!

- Astrophysics

These kids on here are really smart, they just need the right push :P

- UnkleRhaukus

|dw:1433833984854:dw|

- Astrophysics

Sorcery!

- ganeshie8

thats my fav one! wrong reasoning, right answer
they are called happy fractions or something...

- Astrophysics

https://www.youtube.com/watch?v=Yajonhixy4g

- Astrophysics

And http://mathoverflow.net/questions/94742/examples-of-interesting-false-proofs

- ganeshie8

interesting, im still a bit clueless about identifying the flaw in that proof(youtube link) showing all triangles are equilateral ...

- ParthKohli

Haha, nice solution.
How do you solve this though?

- UsukiDoll

I got -1/8 on this T_T!

- ParthKohli

Wolfram says the answer is \(-1/8\). How did it get to that figure?

- geekfromthefutur

Without wolfram math i wouldn't be smart about math lol

- UsukiDoll

lcd yo!

- ParthKohli

What...?

- UsukiDoll

\[\frac{2}{2} \times \frac{1}{4} - \frac{3}{8} \rightarrow \frac{2}{8} - \frac{3}{8} \rightarrow = -\frac{1}{8}\]

- UsukiDoll

find the least common denominator on this... the sign was missing when I saw that reasoning

- ParthKohli

Oh wow! Interesting method. Nice.

- UsukiDoll

actually that's common x.x
anyone out there can use least common denominator

- ParthKohli

No I can't.

- UsukiDoll

and by the way a - sign was dropped in that image....when clobber did the arithmetic
2-3 = -1 for the numerator

- UsukiDoll

but he drew a 1 instead of a -1

- ParthKohli

I just believed that these problems were supposed to be solved by Wolfram because they're hard, so I always plugged these numbers into Wolfram. Didn't know people could actually solve these.

- geekfromthefutur

Well you can it just takes a while longer to solve the problem but all that matters that getting it solved. Because not every problem is going to be easy as 2 + 2

- UsukiDoll

what the...*bangs head*

- ParthKohli

Anyway, thank you for sharing this method! More people should know about it. I'm about to finish high-school and my classmates also use Wolfram for solving fractions.

- ganeshie8

lol honestly i never found a satisfying explanation for why common denominator is needed when adding/subing fractions

- UsukiDoll

O__________________________O! Okay, that's fine for checking answers, but students shouldn't be dependent on it. My university doesn't allow calculators or computers. Have fun with that

- Astrophysics

I don't think any mathematics department does ;)

- UsukiDoll

wolfram shouldn't be abused... and sometimes even Mr.Wolfy himself makes mistakes

- geekfromthefutur

Yea it cant solve every problem.

- UsukiDoll

there was a professor who allowed everything ... book, calculator...tablet...but he retired recently

- ParthKohli

Haha, ganeshie, it should make sense though. You can add 1/8th and 4/8th of a cake like that, but you can't add 1/8th and half of a cake.

- ParthKohli

I will have to revise my fractions after finishing calculus.

- UsukiDoll

oh lol @UnkleRhaukus you just broke a math rule with your example.

- Astrophysics

Oh I thought you were joking the whole time parth

- ParthKohli

;)

- UnkleRhaukus

all triangles are equilateral

- ParthKohli

You hoped I was joking the whole time. :P

- ParthKohli

I guess I stretched it way too far.

- ganeshie8

nope it is fine, the joke is obvious to everyone ;p

- Miracrown

I knew it

- Astrophysics

http://puu.sh/i9pL3/b1f88e3e47.png

- Miracrown

LOL

- ganeshie8

should msg it to one of his gfs lol

- UsukiDoll

omg dan.

- Miracrown

ikr @ganeshie8 ;)

- Astrophysics

Anyways check out those false proofs from that link, pretty cool :)

- ParthKohli

From comments:
The mistake lies in the drawing. The lines are too sloppy and if you actually draw it out, you will see C* always lies on the other side of C (or B* on the other side of B), so subtracting C*C from AC does not make the conclusion valid anymore.

- ParthKohli

```
one of his gfs lol
```
Subtle, I like it.

- UsukiDoll

last semester I accidentally typed "Dan I love you" instead of "Dan I need your help" because I was working on a matlab code. T_T! I had to type to two people on os that it wasn't spam and it was an accident.

- Astrophysics

http://puu.sh/i9ruW/6515fd86d6.png

- ParthKohli

Don't worry, Dan's a player. He just gets everyone to fall in love with him.

- UsukiDoll

This was before I had glasses, so yeah...I couldn't see well with small text

- geekfromthefutur

Lol. and i wonder who else hes with xD

- ParthKohli

@Astrophysics Holy crap, hahaha.

- Miracrown

I like it how this post has completely gone off topic

- Astrophysics

Sorry haha

- ParthKohli

To be fair, the topic isn't something eye-catching.

- Miracrown

All good @Astrophysics :)

- Miracrown

@ganeshie8 can you please give us another prob?

- Astrophysics

What is \[\huge 2^{2014}-2^{2013}?\]

- geekfromthefutur

ok

- ParthKohli

\[2^{2013}\]

- geekfromthefutur

crap it repeated my statment

- ParthKohli

Sorry, wrong answer. Should be\[\huge 2^{2013}\]

- ParthKohli

Or maybe you could do it "that" way:\[\large 2^{2014} - 2^{2013} = 2^{2014 - 2013} = 2^1 = 2\]

- Astrophysics

Yeah haha, \[\huge 2^{2013}(2) - 2^{2013} \implies 2^{2013}(2-1) = 2^{2013}\]

- Miracrown

Next one

- Astrophysics

Geniuses...ok what number am I thinking of?

- ParthKohli

Your SmartScore.

- Miracrown

96

- Astrophysics

http://puu.sh/ajiP2/15be9508bf.png

- ParthKohli

You're just cashing in on hartnn's efforts.

- ParthKohli

In hartnn's pic, his arms are all bulgy and muscular. Coincidence? I think not.

- zzr0ck3r

You should read the classic MathEd paper about Benny.

- geerky42

\(\color{blue}{\text{Originally Posted by}}\) ganeshie8
How is this possible \[\frac{1}{4}-\frac{3}{8} = \frac{1}{2}\]
\(\color{blue}{\text{End of Quote}}\)
It's isn't? What's so amazing about it anyway?
All I see is user just happen to think that subtraction works like multiplication, hence did\(\frac{1}{4}-\frac{3}{8} = \frac{1-3}{4-8}\)

- UsukiDoll

^ which broke a math rule...

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