document.write( "Question 501962: the numerator of a fraction exceeds the denominator by 3. if 3 is added to the numerator and 3 is subtracted from the denominator, the resulting fraction is equal to 5/2. find the original fraction \n" ); document.write( "

Algebra.Com's Answer #338729 by josmiceli(19441) $\"\"$ $\"About$

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Let the numerator = $\"a\"$
\n" ); document.write( "Let the denominator = $\"b\"$
\n" ); document.write( "The original fraction is $\"+a%2Fb+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+b+%2B+3+\"$
\n" ); document.write( "(2) $\"+%28+a+%2B+3+%29+%2F+%28+b+-+3+%29+=+5%2F2+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+a+%2B+3+=+%285%2F2%29%2A%28+b+-+3+%29+\"$
\n" ); document.write( "(2) $\"+2%2A%28+a+%2B+3+%29+=+5%2A%28+b+-+3+%29+\"$
\n" ); document.write( "(2) $\"+2a+%2B+6+=+5b+-+15+\"$
\n" ); document.write( "(2) $\"+2a+-+5b+=+-21+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+-+b+=+3+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2a+-+5b+=+-21+\"$
\n" ); document.write( "(1) $\"-2a+%2B+2b+=+-6+%7D%7D%0D%0A%7B%7B%7B+-3b+=+-27+\"$
\n" ); document.write( " $\"+b+=+9+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+=+b+%2B+3+\"$
\n" ); document.write( "(1) $\"+a+=+9+%2B+3+\"$
\n" ); document.write( "(1) $\"+a+=+12+\"$
\n" ); document.write( "The faction is $\"+a%2Fb+=+12%2F9+\"$ \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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