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) You can put this solution on YOUR website! 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 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |