document.write( "Question 707485: a fraction is equal to 1/2. if its numerator is increased by 1 and its denominator is increased by 5 the value of the resulting fraction is 4/9 find the original fraction
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Algebra.Com's Answer #435797 by ankor@dixie-net.com(22740)\"\" \"About 
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\"a fraction is equal to 1/2.\"
\n" ); document.write( "\"n%2Fd\" = \"1%2F2\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "d = 2n
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\n" ); document.write( " \"if its numerator is increased by 1 and its denominator is increased by 5 the value of the resulting fraction is 4/9\"
\n" ); document.write( "\"%28n%2B1%29%2F%28d%2B5%29\" = \"4%2F9\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "9(n+1) = 4(d+5)
\n" ); document.write( "9n + 9 = 4d + 20
\n" ); document.write( "9n = 4d + 20 - 9
\n" ); document.write( "9n = 4d + 11
\n" ); document.write( "replace d with 2n
\n" ); document.write( "9n = 4(2n) + 11
\n" ); document.write( "9n = 8n + 11
\n" ); document.write( "9n - 8n = 11
\n" ); document.write( "n = 11
\n" ); document.write( "then
\n" ); document.write( "d = 22
\n" ); document.write( "hence
\n" ); document.write( "\"11%2F22\" is the original fraction (which = 1/2)
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\n" ); document.write( "Check this
\n" ); document.write( "\"%2811%2B1%29%2F%2822%2B5%29\" =
\n" ); document.write( "\"12%2F27\" reduces to \"4%2F9\"
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