I have to solve this equation involving rational expressions. Then I have to identify each equation as an identity, an inconsistent equation, or a conditional equation. My first step is to find the LCD. My problem is that I don't know how to with this equation. Can anyone help me find the LCD and explain to me how they got it? :)
1/5x-1/4x+1/3x=(-17)/60

Question

I have to solve this equation involving rational expressions. Then I have to identify each equation as an identity, an inconsistent equation, or a conditional equation. My first step is to find the LCD. My problem is that I don't know how to with this equation. Can anyone help me find the LCD and explain to me how they got it? :)
1/5x-1/4x+1/3x=(-17)/60

e.mccormick · Answer

So $\dfrac{1}{5x}-\dfrac{1}{4x}+\dfrac{1}{3x}=\dfrac{-17}{60}$?

anonymous · Answer

Yes

cwrw238 · Answer

the denominators are  5x, 4x, 3x and 60
the LCD is the lowest common denominator into which each of the 4 values will divide.

we obviously need to have x in the LCD and the biggest number is 60 into which  3  4 and 5 will all divide 
so our LCD is 60x

e.mccormick · Answer

OK.  Well, if you look at the denominators, there is a constant and an x.  So the x can be seen as a factor and the constant as a factor.

anonymous · Answer

Okay, thank you very much to the both of you. I understand now. :) I really do appreciate it.

e.mccormick · Answer

np.  Have fun!