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  LiveWire / Teen Forums / School & Homework Connection / Adding Reply

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Topic Finding The LCD With Variables
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Original Post
KRNsoccerplayer24 Posted at 8:09 pm on Dec. 7, 2008
5x/8y  plus 7/6xy

i got the LCD is 8y(6xy) is that right? somehow i got the wrong answer

Replies
matto Posted at 8:20 pm on Dec. 7, 2008
take the two denominators: 8y and 6xy
and try to make them equal to each other with the simplest operations

so if you multiply 3*8 and 4*6, you get 24, which is the same:
3(8y) =? 4(6xy)
this is 24y = 24xy, now the only thing different is the x:
3x(8y) = 4(6xy)
and this simplifies to
24xy
you could also do
6x(8y) = 8(6xy) = 48xy, but this isn't the Least Common denominator.  24xy's the least common denominator.

I'm bad at explaining this, if you have a specific question anymore ask

KRNsoccerplayer24 Posted at 8:17 pm on Dec. 7, 2008
Quote: from matto at 8:11 pm on Dec. 7, 2008

your denominators are 8y and 6xy
3x(8y) = 4(6xy)
so 24xy = 24xy, i think that's your lcd

whered you get 3x(8y)=4(6xy)?

Sector Corrupt Posted at 8:13 pm on Dec. 7, 2008
5x/8y + 7/6xy

30x^2/48xy + 56/48xy

= (30x^2 + 56)/48xy

= (15x^2 + 28)/24xy

so the lowest common denominator is like.. 24xy?

matto Posted at 8:11 pm on Dec. 7, 2008
your denominators are 8y and 6xy
3x(8y) = 4(6xy)
so 24xy = 24xy, i think that's your lcd
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