Quote:
Originally Posted by mileydog 
Actually it is wrong. X=6
9/2 = 3/4x
Up to this point you are correct.
However you simply need to multiply by 4 not 4x.
Thus you should get 36/2 = 3x
Simplified is 18 = 3x
18/3 = X
X=6
If you multiply 4x (in fraction form, 4x/1), the 4x will cancel out on the right side:
(9/2) * (4x/1) = (3/4x) * (4x/1)
When multiplying fractions, you can multiply straight across - top number times top number, over bottom number times bottom number. 9 * 4x = 36x, and 2 * 1 = 2. You end up with 36x/2:
36x/2 = 3
Now you can divide 36 by 2 and you end up simplifying to 12x:
BTW...Dividing 36x/2 gives 18x NOT 12x
12x = 3
To get x alone, you must divide both sides by 12:
x = 3/12, or simplified to x = 1/4
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Oops, I was a step ahead of myself and divided by 3 (the next step) instead of by 2!
I assumed the 4x was on the bottom, as in (3)/(4x) ... if she meant (3/4)x, then you are correct, you would just multiply by 4 because that would make it 3x/4