SOLUTION: simplify the complex fraction: {{{ (2+m-3/m)/(m/6 - 2/m)}}}

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Question 89644: simplify the complex fraction:

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!

simplify the complex fraction: 



Put 1 under the 2 and the m so that
everything will be fractions:




Put parentheses around every fraction in the
top and in the bottom:

 

Look at all the denominators top 
and bottom: ,,,,

The LCD of all those is ,
write that as  and multiply every term
in both the top and the bottom by it:



Now cancel what will cancel and simplify:



That's probably as far as you need to go. You can
arrange the numerator in descending order of powers
of x.



The top will factor by taking out a 6



The top factors again,



But since the bottom does not factor, there was
no need to factor the top, because nothing
cancels.

Edwin


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