How do you solve this problem? (3/4-2/3) + (1/2 + 1/3) = ? Common Denominator?

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How do you solve this problem? (3/4-2/3) + (1/2 + 1/3) = ? Common Denominator?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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(3/4 - 2/3) ... common denominator = 12 9/12 - 8/12 = 1/12 (1/2 + 1/3) ... common denominator = 6 3/6 + 2/6 = 5/6 1/12 + 5/6 = ..... common denominator = 12 1/12 + 10/12 = 11/12
i got 12 on the first on n 6 on the second? How do u bring the 2 together?? Do you add them as it says or what?
Where did u get 5/6? outta 1/2 n 1/3?

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Since 2 and 3 have no factors in common the common denominator = 2 * 3 = 6 You put 6 on the bottom of each fraction.. ???/6 + ???/6 then look at the first fraction which is 1/2 what do you need to multiply 2 by to get 6.. answer 3 so you multiply the top by 3 so 1 * 3 = 3 so that fraction is 3/6 Then look at the second fraction 1/3 what do you need to multiply 3 by to get 6.. answer 2 so you multiply the top by 2 so 1*2 = 2 so that fraction is 2/6 Then when you add fractions you don't touch the bottom, just add the tops so 3/6+ 2/6 = 5/6
Then you need to add 1/12 + 5/6 ... the common denominator = 12 so put 12 on the bottom of each fraction. The first fraction already has a 12 on the bottom so it remains 1/12 to turn 5/6 into a 12 on the bottom you ask yourself, what do you multiply 6 by to get 12.. the answer is 2 so you multiply the top by 2 5*2 = 10 so the second fraction is 10/12 1/12 + 10/12 = 11/12 When you have common denominators, you don't touch the bottom just "add" the tops or subtract if that is the problem.

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