document.write( "Question 59770:
\n" ); document.write( "I'm having an extremely hard time with Simplifying Complex Fractions! Thank you for helping me!! \r
\n" ); document.write( "\n" ); document.write( " 1.) 4 + 2/x
\n" ); document.write( " _______
\n" ); document.write( " x/3+1/6 \r
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\n" ); document.write( "\n" ); document.write( " 2.) 1
\n" ); document.write( " _______
\n" ); document.write( " K+2
\n" ); document.write( " ________
\n" ); document.write( " 5
\n" ); document.write( " ______
\n" ); document.write( " K^2-4\r
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\n" ); document.write( "\n" ); document.write( " 3.) 16x^2-49y^2
\n" ); document.write( " ___________
\n" ); document.write( " xy
\n" ); document.write( " ___________
\n" ); document.write( " 4 7
\n" ); document.write( " ___ - ___
\n" ); document.write( " y x\r
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\n" ); document.write( "\n" ); document.write( " 4.) 5
\n" ); document.write( " ____ -5
\n" ); document.write( " 3r-1
\n" ); document.write( " _____________
\n" ); document.write( " 5
\n" ); document.write( " ____ +5
\n" ); document.write( " 3r-1
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\n" ); document.write( "\n" ); document.write( " 5.) -5 2
\n" ); document.write( " ____ + ____
\n" ); document.write( " x+5 x+2
\n" ); document.write( " _______________
\n" ); document.write( " 2 -5
\n" ); document.write( " ____ - _____
\n" ); document.write( " x+2 x+4 \n" ); document.write( "
Algebra.Com's Answer #41368 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
The best way to solve complex fractions is to:
\n" ); document.write( "First, try to factor as much as possible
\n" ); document.write( "Second, try to eliminate denominators by multiplying each fraction (top and bottom) by a common denominator.
\n" ); document.write( "Third, continue to simplify or re-factor if possible.
\n" ); document.write( ".
\n" ); document.write( "1. \"%28%284+%2B+2%2Fx%29%2F+%28x%2F3%2B1%2F6%29+%29\" [No factoring involved]\r
\n" ); document.write( "\n" ); document.write( "\"%28%28%2818x%29%284%2F1+%2B+2%2Fx%29%29%2F+%28%2818x%29%28x%2F3%2B1%2F6%29%29+%29\"[Find the common denominator (18x)]
\n" ); document.write( "\"%28%2872x%2B36%29%2F+%286x%5E2%2B3x%29+%29\" [Cancel wherever necessary]
\n" ); document.write( "\"%28++%28%289%29%288x%2B4%29%29%2F+%28+%283x%29%282x%2B1%29+%29+%29\"[In this case you can re-factor]
\n" ); document.write( "\"%28+%28%283%29%288x%2B4%29%29%2F+%28%281x%29%282x%2B1%29%29+%29\" [Cancel wherever necessary]
\n" ); document.write( "\"%28+%2824x%2B12%29%2F+%282x%5E2%2Bx%29+%29\" [Simplify]
\n" ); document.write( "\"%28+%28%2812%29%282x%2B1%29%29%2F%28+%28x%29%282x%2B1%29%29+%29\" [Re-factor again]
\n" ); document.write( "\"%28+%28%2812%29%282x%2B1%29%29%2F%28+%28x%29%282x%2B1%29%29+%29\" [Cancel again]
\n" ); document.write( "12/x [final answer]\r
\n" ); document.write( "\n" ); document.write( ".\r
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\n" ); document.write( "\n" ); document.write( "2.)\"%28+%281%2F%28K%2B2%29%29%2F%285%2F%28K%5E2-4%29%29+%29\"
\n" ); document.write( "\"%28%281%2F%28K%2B2%29%29%2F%285%2F%28%28K-2%29%29%28K%2B2%29%29%29%29\" [Factor wherever possible]
\n" ); document.write( "\"%28%28K%2B2%29%281%2F%28K%2B2%29%29%2F%28K%2B2%29%285%2F%28%28K-2%29%29%28K%2B2%29%29%29%29\"[Find the common denominator ((K+2)]
\n" ); document.write( "\"%28%281%29%2F%285%2F%28K-2%29%29%29%29%29\"[Cancel wherever possible]
\n" ); document.write( "\"%28+%281%29%28%28%28K-2%29%2F5%29%29%29\" [Flip the denominator and multiply]
\n" ); document.write( "\"%28%28K-2%29%2F5%29%29%29\"[final answer]
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