Rational Expressions

Vonda

New member
Joined
Aug 8, 2005
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3
4b 6
------, ------- I need to find the LCD
75a 105ab

I have one more


3 2
-------- - ----- this one is a rational expression with different denomin.
2a-2 1-a
 
rational expressions

the problems did not post right but the 6 is over the 105ab and the second problem the 2 is over the 1-a.
 
Did you perhaps mean the following?

. . . . .(4b)/(75a) and 6/(105ab)

...and:

. . . . .3/(2a - 2) and 2/(1 - a)

If so, factor the denominators. The LCD (or LCM, depending on the book or other resource) will be the product of all the factors, without overduplication. (For a lesson on this, try here.) To convert the fractions to the same denominator, multiply the top and bottom by whatever the bottom needs. For instance:

. . . . .1/6 and 1/15

The factorizations are 2×3 and 3×5, so the LCM is 2×3×5. Then:

. . . . .(1/6)(5/5) = 5/30

. . . . .(1/15)(2/2) = 2/30

Follow this procedure with your exercises. The only fiddly bit will be in the second exercise, where you need to recall that 1 - a = -1(a - 1).

Eliz.
 
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