document.write( "Question 389491: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks) \n" ); document.write( "
Algebra.Com's Answer #276005 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks)\r
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\n" ); document.write( "\n" ); document.write( "let the numerator be \"x\" and denominator \"y\"\r
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\n" ); document.write( "\n" ); document.write( "given: the denominator of the fraction is \"2\" more than the numerator ; so, \"y=x%2B2\"\r
\n" ); document.write( "\n" ); document.write( "the fraction is
\n" ); document.write( "\"x%2F%28x%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "If \"1\" is subtracted from both numerator and denominator, the resulting fraction has a value of \"1%2F2\", so we will have\r
\n" ); document.write( "\n" ); document.write( "\"%28x-1%29%2F%28x%2B2-1%29=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-1%29%2F%28x%2B1%29=1%2F2\"...cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"2%28x-1%29=1%28x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2x-2=1x%2B1\"..........solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"2x-+x+=+2%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3\"..........the numerator \r
\n" ); document.write( "\n" ); document.write( "\"y=x%2B2\"
\n" ); document.write( "\"y=3%2B2\"
\n" ); document.write( "\"y=5\"..........the denominator\r
\n" ); document.write( "\n" ); document.write( "so, fraction is \"3%2F5\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "If \"1\" is subtracted from both numerator and denominator, the resulting fraction has a value of \"1%2F2\", so we will have\r
\n" ); document.write( "\n" ); document.write( " \"%283-1%29%2F%285-1%29=2%2F4=1%2F2\"
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