SOLUTION: Hi its really simplifying complex fractions. So can you help me solve these 10 questions??? Please and thank you soooooo much! :) http://tinypic.com/view.php?pic=2ps3yip&s=5

Algebra ->  Expressions-with-variables -> SOLUTION: Hi its really simplifying complex fractions. So can you help me solve these 10 questions??? Please and thank you soooooo much! :) http://tinypic.com/view.php?pic=2ps3yip&s=5       Log On


   

Question 177567: Hi its really simplifying complex fractions. So can you help me solve these 10 questions??? Please and thank you soooooo much! :)
http://tinypic.com/view.php?pic=2ps3yip&s=5
http://tinypic.com/view.php?pic=24v3dcn&s=5
http://tinypic.com/view.php?pic=2i096bn&s=5
http://tinypic.com/view.php?pic=qp5aaa&s=5
http://tinypic.com/view.php?pic=2dmavj4&s=5
http://tinypic.com/view.php?pic=2317a0&s=5
http://tinypic.com/view.php?pic=2cdfqfb&s=5
http://tinypic.com/view.php?pic=n3nqps&s=5
http://tinypic.com/view.php?pic=2r2bpjk&s=5
http://tinypic.com/view.php?pic=14ub342&s=5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Wow, there are a lot of problems. I'll do the first three to get you started.

# 1

%28%2812%29%2F%28x-1%29%29%2F%286%2Fx%29 Start with the given expression


Multiply both numerator and denominator by the inner LCD x%28x-1%29 to clear out the inner fractions.

%2812x%29%2F%286%28x-1%29%29 Multiply and simplify.


%282x%29%2F%28x-1%29 Reduce


So %28%2812%29%2F%28x-1%29%29%2F%286%2Fx%29=%282x%29%2F%28x-1%29 where x%3C%3E1 or x%3C%3E0


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# 2


%28%28k%2B1%29%2F%282k%29%29%2F%28%283k-1%29%2F%284k%29%29 Start with the given expression


Multiply both numerator and denominator by the inner LCD 4k to clear out the inner fractions.

%282%28k%2B1%29%29%2F%283k-1%29 Multiply and simplify.


%282k%2B2%29%2F%283k-1%29 Distribute


So %28%28k%2B1%29%2F%282k%29%29%2F%28%283k-1%29%2F%284k%29%29=%282k%2B2%29%2F%283k-1%29 where x%3C%3E0 or x%3C%3E1%2F3


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# 3


%283%2Fx%2B3%2Fy%29%2F%283%2Fx-3%2Fy%29 Start with the given expression


Multiply EVERY term by the inner LCD xy to clear out the inner fractions.

%283y%2B3x%29%2F%283y-3x%29 Multiply and simplify.


%283%28x%2By%29%29%2F%283%28x-y%29%29 Factor out the GCF 3 from the numerator and denominator and rearrange the terms.


%28x%2By%29%2F%28x-y%29 Reduce

So %283%2Fx%2B3%2Fy%29%2F%283%2Fx-3%2Fy%29=%28x%2By%29%2F%28x-y%29 where x%3C%3E0, y%3C%3E0, or x%3C%3Ey


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