document.write( "Question 373475: The denominator of a fraction is 5 more than twice the numerator. If the numerator is doubled, and the denominator is increased by 5, the new fraction is equal to 1/2. Find the oricinal fraction. \n" ); document.write( "
Algebra.Com's Answer #266019 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The denominator of a fraction is 5 more than twice the numerator. \n" ); document.write( " If the numerator is doubled, and the denominator is increased by 5, \n" ); document.write( " the new fraction is equal to 1/2. \n" ); document.write( "Find the original fraction. \n" ); document.write( ": \n" ); document.write( "Let x = the numerator \n" ); document.write( "then \n" ); document.write( "(2x+5) = the denominator \n" ); document.write( ": \n" ); document.write( "\"If the numerator is doubled, and the denominator is increased by 5, \n" ); document.write( " the new fraction is equal to 1/2. \" \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "2(2x) = 2x + 10 \n" ); document.write( "4x = 2x + 10 \n" ); document.write( "4x - 2x = 10 \n" ); document.write( "2x = 10 \n" ); document.write( "x = 5 \n" ); document.write( ": \n" ); document.write( "The original equation \n" ); document.write( " |