document.write( "Question 1167484: Write a fraction for which the sum of the numerator and denominator is 44, and the value of the fraction is 5/6 \n" ); document.write( "
Algebra.Com's Answer #792063 by Theo(13342)\"\" \"About 
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let n represent the numerator and d represent the denominator.\r
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\n" ); document.write( "\n" ); document.write( "you get:\r
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\n" ); document.write( "\n" ); document.write( "n/d = 5/6\r
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\n" ); document.write( "\n" ); document.write( "n + d = 44
\n" ); document.write( "solve for n to get:
\n" ); document.write( "n = 44 - d\r
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\n" ); document.write( "\n" ); document.write( "n/d = 5/6 becomes (44 - d) / d = 5/6
\n" ); document.write( "multiply both sides of this equation by d to get:
\n" ); document.write( "44 - d = 5/6 * d
\n" ); document.write( "add d to both sides of this equation to get:
\n" ); document.write( "44 = 5/6 * d + d
\n" ); document.write( "simplify to get:
\n" ); document.write( "44 = 11/6 * d
\n" ); document.write( "multiply both sides of this equation by 6/11 to get:
\n" ); document.write( "44 * 6/11 = d
\n" ); document.write( "solve for d to get:
\n" ); document.write( "d = 44 * 6/11 = 24.\r
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\n" ); document.write( "\n" ); document.write( "n/d = 5/6 becomes n/24 = 5/6
\n" ); document.write( "solve for n to get:
\n" ); document.write( "n = 24 * 5/6 = 20\r
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\n" ); document.write( "\n" ); document.write( "you have n = 20 and d = 24
\n" ); document.write( "their sum is 44, so that part of the problem statement checks out.
\n" ); document.write( "n/d = 20/24 which simplifies to 5/6, so that part of the problem statement checks out as well.\r
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\n" ); document.write( "\n" ); document.write( "your solution is that the value of the fraction is 20/24.\r
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