Can someone explain to me why pi/3 + 2pi is 7pi/3? How in the world does that work?

Question

ganeshie8 · Answer

think of pi as pie.

how many pi/3's are there in 2pi ?

anonymous · Answer

6?

anonymous · Answer

Oh my gosh, I'm an idiot. You just find a common denominator. Wow. Thanks guys. I'm so slow. God bless you all! :)

anonymous · Answer

for the same reason that 
$$2+\frac{1}{3}=\frac{7}{3}$$

anonymous · Answer

latex not working?

ybarrap · Answer

Nope, not an idiot. Human -- we are all. :)

ybarrap · Answer

Latex is not working neither is Draw.

anonymous · Answer

Haha. Thanks. I just feel really dumb sometimes. :P Yes, I noticed that. :c

anonymous · Answer

How do I do arcsin?

anonymous · Answer

Because we use pi as in a pro numeral. Treat it like all other variables.
Imagine pi as it's...the letter x.
So,
x/3 + 2x
Now you just add the fraction like you would, find the least common denominator, or 3.
x/3 + 6x/3 = 7/3x
You can just replace x with pi. Same thing. Lol.
x

anonymous · Answer

Thank you. :) Do you know how to do arcsin(sqrt3/2)?