document.write( "Question 205931: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction. \n" ); document.write( "
Algebra.Com's Answer #155595 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! X/(X-4)+(X+6)/2(X-4)=3 \n" ); document.write( "(2X+X+6)/2(X-4)=3 \n" ); document.write( "(3X+6)/(2X-8)=3 \n" ); document.write( "3(2X-8)=3X+6 \n" ); document.write( "6X-24=3X+6 \n" ); document.write( "6X-3X=6+24 \n" ); document.write( "3X=30 \n" ); document.write( "X=30/3 \n" ); document.write( "X=10 ANS. FOR THE ORIGINAL NUMERATOR. \n" ); document.write( "(10-4)=6 IS THE ORIGINAL DENOMINATOR. \n" ); document.write( "PROOF: \n" ); document.write( "10/6+16/2*6=3 \n" ); document.write( "10/6+16/12=3 \n" ); document.write( "20/12+16/12=3 \n" ); document.write( "36/12=3 \n" ); document.write( "3=3 \n" ); document.write( " |