document.write( "Question 389491: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks) \n" ); document.write( "
Algebra.Com's Answer #276007 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=numerator \n" ); document.write( "Then x+2=denominator \n" ); document.write( "So our equation to solve is: \n" ); document.write( "(x-1)/(x+2-1)=1/2 simplifying we have \n" ); document.write( "(x-1)/(x+1)=1/2 now multiply each side by 2(x+1) \n" ); document.write( "2(x-1)=x+1 \n" ); document.write( "2x-2=x+1 subtract x from and add 2 to each side: \n" ); document.write( "2x-x-2+2=x-x+1+2 collect like terms \n" ); document.write( "x=3 \n" ); document.write( "CK \n" ); document.write( "(3-1)/(3+1)=1/2 \n" ); document.write( "2/4=1/2 \n" ); document.write( "1/2=1/2\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |