Can anyone explain to me how that turned into 2/2?

I understand why the denominator turned into 2. But how did the numerator turn into 2?

2. Originally Posted by Brazuca

Can anyone explain to me how that turned into 2/2?

I understand why the denominator turned into 2. But how did the numerator turn into 2?
$\displaystyle \frac{\frac{1}{3T}+3}{2T-2}$ would become $\displaystyle \frac{\frac {3}{3T}}{2T-2}$ But past that... $\displaystyle \frac{T}{2T-2}$ I believe. $\displaystyle \frac{1}{T-2}$ Possibly. :s Been a while. Algebra 1?

Go to the LaTeX help section, it teaches you how to write the fractions and stuff like me, quite easy and makes things more understandable.

3. But from what I understood.

(1/2) * (3) = (3/2)

And

(1/2) + (3) = (1/2) + (6/2) = (7/2)

So how can the (3) just combine with the (1/3t) when there is a + sign separating them?????

$\displaystyle \frac{\frac{1}{6}+3}{2}$ Then $\displaystyle \frac{\frac{19}{6}}{2}$ ???

*Can anyone please at least tell me if I understood it wrong. I've been reading my book and doing the problems and it all seems to follow that rule. I don't understand why this problem is different.*

4. Can you explain to me why (1/6) + (3/1) = 2?

Shouldn't it be (1/6) * (3/1) = 2?

5. Originally Posted by Brazuca

Can anyone explain to me how that turned into 2/2?
No, no one can because it's not true! If T= 2 then the numerator is $\displaystyle \frac{1}{6}+ 3= \frac{1}{6}+ \frac{18}{6}= \frac{19}{6}$ and the entire fraction is equal to $\displaystyle \frac{19}{12}$, not "1".

I understand why the denominator turned into 2. But how did the numerator turn into 2?
Oh and (1/6)*(3/1) is 1/2 not 2.

6. Thanks for the help I thought there was something wrong with me not being able tp understand this.