document.write( "Question 536802: please help me to find the LCD for the fractions:
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document.write( "1/3, 5/12, 7/18 \r
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document.write( "(i came up with : 3*2^2*3^2 = 108 which was incorrect, the teacher marked out my 3, and my 108) \n" );
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Algebra.Com's Answer #352578 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The LCD of the fractions is equal to the LCM of the denominators.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The denominators are 3, 12, and 18\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So let's list out the prime factorizations of each:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3: 3 ** Note: 3 is prime and there is only one factor (other than 1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12: 2*2*3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18: 2*3*3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now highlight the unique and most occurring factors. These factors are 2*2 and 3*3. Multiply them out to get 2*2*3*3 = 4*9 = 36\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the LCM of 3, 12, and 18 is 36. This is the smallest number that all 3 denominators go into evenly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the LCD of the fractions is 36\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |