[mileydog]

Originally Posted by Ellie May

I think this is right.

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