document.write( "Question 1013639: Which numbers are between 1/2 and 5/8
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document.write( "I got 3/8 but its not one of the answers \n" );
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Algebra.Com's Answer #629896 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "All of the numbers which are elements of the set \r\n" ); document.write( "\r\n" ); document.write( "{x | 1/2 < x < 5/8}\r\n" ); document.write( "\r\n" ); document.write( "3/8 is wrong because 1/2 = 4/8. So 3/8 is less than 1/2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Consider 1/2 as 8/16 and 5/8 as 10/16.\r\n" ); document.write( "\r\n" ); document.write( "Then 9/16 will be between them.\r\n" ); document.write( "\r\n" ); document.write( "You can consider 1/2 as 16/32 and 5/8 as 20/32.\r\n" ); document.write( "\r\n" ); document.write( "Then any of these fractions will be between them:\r\n" ); document.write( "\r\n" ); document.write( "17/32, 18/32, 19/32.\r\n" ); document.write( "\r\n" ); document.write( "18/32 reduces to 9/16.\r\n" ); document.write( "\r\n" ); document.write( "Or you can consider 1/2 as 32/64 and 5/8 as 40/64.\r\n" ); document.write( "\r\n" ); document.write( "Then any of these fractions will be between them:\r\n" ); document.write( "\r\n" ); document.write( "33/64, 34/64, 35/64, 36/64, 37/64, 38/64, 39/64\r\n" ); document.write( "\r\n" ); document.write( "Notice that 34/64, 36/64, and 38/64 reduces to\r\n" ); document.write( "\r\n" ); document.write( "17/32, 9/16, and 19/32.\r\n" ); document.write( "\r\n" ); document.write( "-----\r\n" ); document.write( "\r\n" ); document.write( "The idea is to rewrite 1/2 and 5/8 with the same\r\n" ); document.write( "denominator which is the largest denominator among the\r\n" ); document.write( "answers, reduce the ones that will reduce, and\r\n" ); document.write( "the numbers between them will have numerators between\r\n" ); document.write( "the numerators of what 1/2 and 5/8 are rewritten as.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |