document.write( "Question 353471: The sum of the denominator and numerator of a fraction is 14. When 7 is added to each, the resulting fraction has a value of 3/4. What is the original fraction? \n" ); document.write( "

Algebra.Com's Answer #252581 by edjones(8007) $\"\"$ $\"About$

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Let the fraction be x/y
\n" ); document.write( "x+y=14
\n" ); document.write( "(x+7)/(y+7)=3/4
\n" ); document.write( "4(x+7)=3(y+7)
\n" ); document.write( "4x+28=3y+21
\n" ); document.write( "4x-3y=-7
\n" ); document.write( "3x+3y=42
\n" ); document.write( "---------add
\n" ); document.write( "7x=35
\n" ); document.write( ".
\n" ); document.write( "x=5
\n" ); document.write( "y=9
\n" ); document.write( ".
\n" ); document.write( "5/9 is the original fraction.
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

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