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algebra problem

coder1

Senior member
I'm having trouble simplifying this problem.

(2/x) + (3/2x)
------------------
(4/3x) - (2/2x)


I keep getting 21/2

But I know thats wrong, any ideas?

Thanks in advance


 
I have no idea what that problem is suppsoed to be. Something like this: (23/x2x)/(42/3x2x)?

I really have no idea.
 
I'm assuming you mean this by your formatting:
((2/x)+(3/2x)) / ((4/3x)-(2/2x)).

Multiply both top and bottom by x:
(2+3/2) / (4/3-2/2).

Combine the top and bottom fractions:
(7/2) / (1/3).

Multiply both top and bottom by 3:
(21/2) / (1).

Simplfy:
21/2.
 
fastest way is to multiply the top and bottom by the common denominator.... 6x

Doing so will give you
12 + 9
---------
8 - 6

and, that, according to a math teacher, is 21/2
 
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