SOLUTION: I'm having an extremely hard time with Simplifying Complex Fractions! Thank you for helping me!! 1.) 4 + 2/x ______

SOLUTION: I'm having an extremely hard time with Simplifying Complex Fractions! Thank you for helping me!! 1.) 4 + 2/x _______ x/3+1/6

Question 59770:
I'm having an extremely hard time with Simplifying Complex Fractions! Thank you for helping me!!
1.) 4 + 2/x
_______
x/3+1/6

2.) 1
_______
K+2
________
5
______
K^2-4

3.) 16x^2-49y^2
___________
xy
___________
4 7
___ - ___
y x

4.) 5
____ -5
3r-1
_____________
5
____ +5
3r-1

5.) -5 2
____ + ____
x+5 x+2
_______________
2 -5
____ - _____
x+2 x+4
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
The best way to solve complex fractions is to:
First, try to factor as much as possible
Second, try to eliminate denominators by multiplying each fraction (top and bottom) by a common denominator.
Third, continue to simplify or re-factor if possible.
.
1. [No factoring involved]
[Find the common denominator (18x)]
[Cancel wherever necessary]
[In this case you can re-factor]
[Cancel wherever necessary]
[Simplify]
[Re-factor again]
[Cancel again]
12/x [final answer]
.

2.)
[Factor wherever possible]
[Find the common denominator ((K+2)]
[Cancel wherever possible]
[Flip the denominator and multiply]
[final answer]

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