✔ 最佳答案
You are getting mixed up by trying to do too many things at once. Until you become more experienced, I suggest you do things one at a time !
You need to find the LCD if you are going to combine the two fractions on the left-hand side into one. If you simply want to remove the fractions, do it one at a time.
Just multiply every term by 4 :
4 (3d) / 4 - 4(11) / 2 = 4 x 3, which simplifies to
3d - 22 = 12
Now add 22 to each side :
3d = 34 so d = 34 / 3
------------------------------------
You were lucky here because 4 is the same as 2 x 2, and 2 appeared in the bottom of the second fraction, so you got rid of both in one operation.
If the second fraction were, for example, 11/3, you would have got
12d - 4(11) / 3 = 24 after multiplying by 4,
so then you would have had to multiply throughout by 3 in order to get rid of the second fraction, like this :
3(12d) - 4(11) = 72, or 36d - 44 = 72
---------------------------------------------
Alternatively, if you wanted to combine the two fractions into one,
3d / 4 - 11 / 2 = { 3d - 2 (11) } / 4
So that {3d - 22 } / 4 = 3
Now multiply both sides by 4 to get
3d - 22 = 3 x 4 = 12, as before.
Note that the LCD here is 4, not 8 (because 4 = 2 x 2, so the 2 for the second fraction is included in the 4, you do not need another 2 in there)
Adding fractions is just like adding number fractions, like
1 /2 + 3 / 4 for example, or 2 / 5 + 5 / 6.
If these still give you trouble, perhaps you should try to get someone to go over this sort of problem first, before going on to algebra problems.
-----------------------------------------