document.write( "Question 196334: If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. Determine the original fraction. \n" ); document.write( "
Algebra.Com's Answer #147167 by edjones(8007)\"\" \"About 
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Let n=numerator and d=denominator
\n" ); document.write( "a) (n+3)/d=3/4
\n" ); document.write( "b) n/(d+7)=1
\n" ); document.write( "b) n=d+7
\n" ); document.write( "a) (d+7+3)/d=3/4 substitute d+7 for n.
\n" ); document.write( "a) (d+10)/d=3/4
\n" ); document.write( "a) 4(d+10)=3d multiply each side by 4d
\n" ); document.write( "a) 4d+40=3d
\n" ); document.write( "d=-40
\n" ); document.write( "b) n=-40+7
\n" ); document.write( "n=-33
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