document.write( "Question 656289: in a certain fraction, the denominater is 7 less than the numberator. if 3 is added to both the numerator and denominater the resulting fraction is (15/8). what is the original fraction \n" ); document.write( "
Algebra.Com's Answer #409434 by shweta(56) ![]() You can put this solution on YOUR website! Let the fraction be N/D \n" ); document.write( " \n" ); document.write( "D= N-7(given) \n" ); document.write( "fraction:N/N-7 ..1 \n" ); document.write( "When N+3/D+3 = 15/8 \n" ); document.write( " \n" ); document.write( " N+3/N-7+3 =15/8 \n" ); document.write( " N+3/N-4 = 15/8 \n" ); document.write( " On cross- multiplication, \n" ); document.write( " 8*(N+3) = 15*(N-4) \n" ); document.write( " 8N+ 24 = 15N - 60 \n" ); document.write( " 24+60 = 15N -8N \n" ); document.write( " 7N = 84 \n" ); document.write( " N= 84/7 \n" ); document.write( " N= 12 \n" ); document.write( " D= N-7 \n" ); document.write( " D= 12-7= 5 \n" ); document.write( "So the original fraction is 12/5 \n" ); document.write( " |