SOLUTION: A) Find the LCD, covert each rational expression into an equivalent expression with the LCD as the denominator. 4/x-4 , 5/6-a B)If the given expressions were used as de

Question 102752: A) Find the LCD, covert each rational expression into an equivalent expression with the LCD as the denominator.
4/x-4 , 5/6-a

B)If the given expressions were used as denominators of rational expressions, then what would be the LCD for each group of denominators? See example 3
3/4b^2-0 2b/2b+3 -5/2b^2-3b

Any help with the above two would greatly appreciated. I am trying to better understand how to do these and my text book is of no help.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A) Find the LCD, covert each rational expression into an equivalent expression with the LCD as the denominator.
4/x-4 , 5/6-a
lcd = (x-4)(6-a) because those denominators go not share a factor.
Converting you should divide the given denominator into the lcd
and multiply the numerator by the quotient:
For example: lcd/(x-4) = (6-a)
1st fraction becomes [4(6-a)/lcd]
-------------------------------
Then, lcd/(6-a)= (x-4)
2nd fraction becomes 5(x-4)/lcd
=======================================

B)If the given expressions were used as denominators of rational expressions, then what would be the LCD for each group of denominators? See example 3
3/4b^2-0 2b/2b+3 -5/2b^2-3b
-------
Comment I think you have a typo in the denominator of the 1st fraction.
------------
Factor each expression as follows:
3/4b^2 , 2b/(2b+3), -5/[b(2b-3)]
-----------
The lcd must contain each factor in its highest power:
lcd = 4b^2(2b+3)(2b-3)
===============================
Cheers,
Stan H.

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