SOLUTION: (3/4-2/3)+(1/2+1/3)

Question 318676:
(3/4-2/3)+(1/2+1/3)
Answer by geochica(3) (Show Source): You can put this solution on YOUR website!
the original equation:
(3/4-2/3)+(1/2+1/3)
according to order of operations (pemdas), we need to solve what is within the parenthesis first.
first, 3/4-2/3.
we have to convert these numbers into two fractions with the same denominator.
we will convert them both to a denominator of twelve.
3/4 --> 9/12 (we multiply the numerator and denominator by 3)
2/3 --> 8/12 (we multiply the numerator and denominator by 4)
so in the first parenthesis, we now have:
9/12 - 8/12, or 1/12.
now our equation is 1/12+(1/2+1/3)
in the second parenthesis, we need to again convert 1/2 and 1/3 into fractions with the same denominator. we will use 6 this time.
1/2 --> 3/6 (multiplied by 3)
1/3 --> 2/6 (multiplied by 2)
now in the parenthesis we have 3/6 + 2/6, or 5/6
so our equation is now:
1/12 + 5/6
again, we convert the fractions so they have the same denominator, in this case, 12.
1/12 stays the same.
5/6 --> 10/12 (multiplied by 2)
so we now have 1/12+10/12, which is 11/12.
(3/4-2/3)+(1/2+1/3) = 11/12.
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