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+

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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+      Log On


   



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) About Me  (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

=> 9%2F12-8%2F12+%2B+6%2F12+%2B+4%2F12
=> %289-8%2B6%2B4%29%2F12
=> 11/12

Answer by jim_thompson5910(35256) About Me  (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

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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.