document.write( "Question 484538: Simplify the complex fractions by any method\r
\n" ); document.write( "\n" ); document.write( "-2/(ab^2 )over( 5)/a\r
\n" ); document.write( "\n" ); document.write( "3y+2/7y^3 over x^3/x-1\r
\n" ); document.write( "\n" ); document.write( "(1/3y)+(1/6y) over (1/2y)+(3/4y)\r
\n" ); document.write( "\n" ); document.write( "2/y+4 over (3/y-4)-(1/y^2-16)\r
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Algebra.Com's Answer #331536 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Simplify the complex fractions by any method
\n" ); document.write( "-2/(ab^2 )over( 5)/a
\n" ); document.write( "---
\n" ); document.write( "= (-2/(ab^2)) / (5/a)
\n" ); document.write( "---
\n" ); document.write( "Invert the denominator and multiply:
\n" ); document.write( "= (-2/(ab^2)) * (a/5)
\n" ); document.write( "---
\n" ); document.write( "= (-2/(5b^2))
\n" ); document.write( "==============================
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\n" ); document.write( "3y+2/7y^3 over x^3/x-1
\n" ); document.write( "Invert the denominator and multiply:
\n" ); document.write( "3y+2/7y^3 times (x-1)/x^3
\n" ); document.write( "---
\n" ); document.write( "= [(3y+2)(x-1)] / [7x^3y^3]
\n" ); document.write( "==============================
\n" ); document.write( "
\n" ); document.write( "(1/3y)+(1/6y) over (1/2y)+(3/4y)
\n" ); document.write( "----
\n" ); document.write( "= [ (2+1)/(6y)] / [(2+3)/(4y)]
\n" ); document.write( "----
\n" ); document.write( "= (1/(2y)) * (4y/5)
\n" ); document.write( "---
\n" ); document.write( "= (4y)/(10y)
\n" ); document.write( "---
\n" ); document.write( "= 2/5
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\n" ); document.write( "[2/(y+4)] / (3/y-4)]-(1/y^2-16)
\n" ); document.write( "-------
\n" ); document.write( "Invert the denominator and multiply:
\n" ); document.write( "= [2(y-4)/3(y+4)] - 1/(y^2-16)
\n" ); document.write( "----
\n" ); document.write( "= [2(y-4)/3(y+4)] - 1/(y^2-16)
\n" ); document.write( "----
\n" ); document.write( "lcd = 3(y^2-16) which equals 3(y-4)(y+4)
\n" ); document.write( "----
\n" ); document.write( "= [2(y-4)^2/lcd] - [3/lcd]
\n" ); document.write( "---
\n" ); document.write( "= [2(y-4)^2-3]/[3(y^2-16)]
\n" ); document.write( "============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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