document.write( "Question 327069: I need to simplify the complex fraction and reduce to lowest terms.\r
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document.write( "ab+b^2
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document.write( "4ab^5
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document.write( "a+b
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document.write( "6a^2b^4
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Algebra.Com's Answer #234228 by jessica43(140)![]() ![]() ![]() You can put this solution on YOUR website! ((ab+b^2)/(4ab^5))/((a+b)/(6a^2b^4)) \n" ); document.write( "Dividing by a fraction is the same as multiplying by the fraction's reciprocal (the reciprocal is just the fraction flipped upside-down). So: \n" ); document.write( "((ab+b^2)/(4ab^5))/((a+b)/(6a^2b^4))= \n" ); document.write( "((ab+b^2)/(4ab^5))*((6a^2b^4)/(a+b))= \n" ); document.write( "((ab+b^2)*(6a^2b^4))/((4ab^5)*(a+b)) \n" ); document.write( "Now you need to see if you can cancel anything in the numberator and the denominator. If you factor the numerator (factor out a b from the first term), you can cancel out the (a+b)from the num and denom: \n" ); document.write( "((ab+b^2)*(6a^2b^4))/((4ab^5)*(a+b))= \n" ); document.write( "((b)(a+b)*(6a^2b^4))/((4ab^5)*(a+b))= \n" ); document.write( "((b)*(6a^2b^4))/(4ab^5)= \n" ); document.write( "Now multiply out the numerator to see if that will enable you to cancel anything else out: \n" ); document.write( "((b)*(6a^2b^4))/(4ab^5)= \n" ); document.write( "(6a^2b^5)/(4ab^5) \n" ); document.write( "Now cancel the b^5: \n" ); document.write( "(6a^2)/(4a) \n" ); document.write( "This can also be written as (6aa)/(4a), so you can cancel an a: \n" ); document.write( "(6a)/4 \n" ); document.write( "This can be reduced to \n" ); document.write( "3a/2 \n" ); document.write( "So your simplifed fraction is 3a/2. \n" ); document.write( " |