SOLUTION: (2d)/3-(3d)/4=1/2.Can you show me the working out on how to get d=-6 because i cannot understand the working out given.

Algebra ->  Test -> SOLUTION: (2d)/3-(3d)/4=1/2.Can you show me the working out on how to get d=-6 because i cannot understand the working out given.      Log On


   



Question 660393: (2d)/3-(3d)/4=1/2.Can you show me the working out on how to get d=-6 because i cannot understand the working out given.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
In order to add or subtract fractions, one has to get all the terms over a common denominator
%28%282d%29%2F3%29-%28%283d%29%2F4%29=%281%2F2%29
There are three denominators here. 3, 4, and 2. What is the smallest common multiple of 3,4 and 2? Well, 12 is a multiple. So let's use that
We need to get all three fractions to have 12 as their denominator. We multiply each term by (1) (remember that 1 can be represented by any nonzero number divided by itself)

%28%282d%29%2F3%29-%28%283d%29%2F4%29=%281%2F2%29

%288d%2F12%29+-%289d%2F12%29+=+6%2F12
%28-d%2F12%29+=+6%2F12
-d+=+6
d+=+-6