SOLUTION: i haven't been in school in so long so i need a quick refresh. how do i add and subtract fractions. i need like detailed instructions lol example problem.. 3/4-2/3 + 1/2+

Question 884540: i haven't been in school in so long so i need a quick refresh.
how do i add and subtract fractions.
i need like detailed instructions lol
example problem..
3/4-2/3 + 1/2+ 1/3
once you explain it i'll most likely remember (: thank you!
Found 2 solutions by geetha_rama, jim_thompson5910:
Answer by geetha_rama(94) (Show Source): You can put this solution on YOUR website!
We need to take the lcm of the denominator and solve as below
3/4 - 2/3 +1/2 +1/3
Lcm is 12

=>
=>
=> 11/12

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You can only add two fractions when the denominators are the same.

So for instance, adding 1/2 + 2/3 cannot be done just yet because the denominators are different (2 and 3).

They must be the same number for us to continue. What we can do is notice that the LCM of 2 and 3 is 6 (2*3 = 6). So this means the LCD, lowest common denominator, is 6.

Now multiply 1/2 by 3/3 to get (1/2)*(3/3) = 3/6
and multiply 2/3 by 2/2 to get (2/3)*(2/2) = 4/6
Notice how we now have 2 fractions that have a denominator of 6

we have gone from

1/2 + 2/3

to

3/6 + 4/6

Now we can finally add. We add only the numerators and do NOT change or alter the denominators.

So 3/6 + 4/6 = (3+4)/6 = 7/6

-------------------------------------------------------------------

Therefore,

1/2 + 2/3 = 7/6

The same rules apply with subtracting fractions. The denominators have to be the same before you can subtract the numerators (and you do NOT change the denominator).

Hopefully this helps you out.
RELATED QUESTIONS
Ok we are doing add and subtract like fractions i know how to put it in simplest form but (answered by checkley77)
How is doing operations (adding,subtracting,multiplying,and dividing) with rational... (answered by richard1234)
OK so in school I have to use elimination and I need help because I don't know when I... (answered by Boreal)
I have been studying all day and doing practice problems from my math book to get me... (answered by Jeef Gorrdon,richwmiller)
I have a gallon of lemonade that is 20% lemon juice. I like it better when it is 25%... (answered by KMST)
Hello, I need help in solving the following problem, I have tried but I do not... (answered by nerdybill,richwmiller)
if i dont get bhow to do this alegra and school is about to start how can i learn some... (answered by solver91311)
I am not a student, just doing some practice math for an engineering tech asst position... (answered by scott8148)
I am having a difficult time with this question, its been 10 years since needing to do... (answered by solver91311)