document.write( "Question 398126: How can I determine the LCD by inspection and by division of prime numbers, such as 3/4,7/12,5/6,1/5?\r
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document.write( "Thank you very much.\r
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document.write( "Ellie \n" );
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Algebra.Com's Answer #282115 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How can I determine the LCD by inspection and by division of prime numbers, such as 3/4,7/12,5/6,1/5? \n" ); document.write( "----- \n" ); document.write( "Prime factor form of the denominators: \n" ); document.write( "4 = 2^2 \n" ); document.write( "12 = 2^2*3 \n" ); document.write( "6 = 2*3 \n" ); document.write( "5 = 5 \n" ); document.write( "------ \n" ); document.write( "The LCD must contain each prime factor in its highest power: \n" ); document.write( "LCD = 2^2*3*5 = 60 \n" ); document.write( "----- \n" ); document.write( "Convert each fraction to a fraction with the LCD as its denominator: \n" ); document.write( "3/4 = (3/4)(15/15) = 12/60 \n" ); document.write( "7/12 = (7/12)(5/5) = 35/60 \n" ); document.write( "5/6 = (5/6)(10/10) = 50/60 \n" ); document.write( "1/5 = (1/5)(12/12) = 12/60 \n" ); document.write( "=============================== \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |