document.write( "Question 911374: There is a fraction such that if 5 is subtracted from the numerator, its value will be 1/4, and if 7 is added to the denominator, its value will be 1/3. What is the fraction?\r
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Algebra.Com's Answer #553100 by ankor@dixie-net.com(22740)\"\" \"About 
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There is a fraction such that if 5 is subtracted from the numerator, its value will be 1/4,
\n" ); document.write( " and if 7 is added to the denominator, its value will be 1/3.
\n" ); document.write( " What is the fraction?
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\n" ); document.write( "let n = the numerator
\n" ); document.write( "let d = the denominator
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\n" ); document.write( "\"if 5 is subtracted from the numerator, its value will be 1/4,\"
\n" ); document.write( "\"%28%28n-5%29%29%2Fd\" = \"1%2F4\"
\n" ); document.write( "cross multiply
\n" ); document.write( "d = 4(n-5)
\n" ); document.write( "d = 4n - 20
\n" ); document.write( "\"if 7 is added to the denominator, its value will be 1/3.\"
\n" ); document.write( "\"n%2F%28%28d%2B7%29%29\" = \"1%2F3\"
\n" ); document.write( "cross multiply
\n" ); document.write( "3n = (d+7)
\n" ); document.write( "replace d with *(4n-20) (from the 1st statement)
\n" ); document.write( "3n = 4n - 20 + 7
\n" ); document.write( "3n - 4n = -13
\n" ); document.write( "-n = -13
\n" ); document.write( "n = 13
\n" ); document.write( "Find d
\n" ); document.write( "d = 4(13) - 20
\n" ); document.write( "d = 52 - 20
\n" ); document.write( "d = 32
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\n" ); document.write( "The original fraction = \"13%2F32\"
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\n" ); document.write( "You can confirm this, by replacing n and d in both statements\r
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