document.write( "Question 499561: a fraction has a denominator that is 2 more than its numerator.
\n" ); document.write( "if the numerator is doubled and 5 is added to the denominator, the result would be1.
\n" ); document.write( "what is the original fraction? \n" ); document.write( "

Algebra.Com's Answer #337777 by oberobic(2304) $\"\"$ $\"About$

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x = numerator
\n" ); document.write( "x+2 = denominator
\n" ); document.write( ".
\n" ); document.write( "2x is the doubled numerator
\n" ); document.write( "x+2+5 is five added to the denominator
\n" ); document.write( " $\"2x%2F%28x%2B7%29+=+1\"$
\n" ); document.write( "cross multiply (the 1 can be viewed as 1/1)
\n" ); document.write( " $\"2x+=+x%2B7\"$
\n" ); document.write( "subtract x from both sides
\n" ); document.write( " $\"x+=+7\"$
\n" ); document.write( ".
\n" ); document.write( "substitute to find the original denominator
\n" ); document.write( " $\"x%2B2+=+9\"$
\n" ); document.write( ".
\n" ); document.write( "Original fraction was 7/9.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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