document.write( "Question 34439This question is from textbook Modern Mathematics for Elementary Educators
\n" ); document.write( ": Find a fraction equivalent to 1/2 such that the product of the numerator and the denominator is 72. \n" ); document.write( "
Algebra.Com's Answer #20788 by Earlsdon(6294)\"\" \"About 
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Try this: Let x = the numerator and y = the denominator.\r
\n" ); document.write( "\n" ); document.write( "\"x%2Fy+=+1%2F2\" Rewrite this as: \"y+=+2x\" and substitute below.
\n" ); document.write( "\"x%2Ay+=+72\"\r
\n" ); document.write( "\n" ); document.write( "\"x%282x%29+=+72\" Solve for x.
\n" ); document.write( "\"2x%5E2+=+72\" Divide both sides buy 2.
\n" ); document.write( "\"x%5E2+=+36\" Take the square root of both sides.
\n" ); document.write( "x = +or-6
\n" ); document.write( "y = 2x
\n" ); document.write( "y = +or-12\r
\n" ); document.write( "\n" ); document.write( "There are two answers:\r
\n" ); document.write( "\n" ); document.write( "\"6%2F12+=+1%2F2\"
\n" ); document.write( "\"%28-6%29%2F%28-12%29+=+1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "In both of these fractions, the product of the numerator (6 or -6) and the denominator (12 or -12) = 72
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