document.write( "Question 685055: The numerator and denominator of a fraction are in a ratio 2:3. If 8 is added to both numbers, the new fraction becomes 10:13. Find the original fraction. \n" ); document.write( "
Algebra.Com's Answer #424312 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the common factopr of the ratio be x\r \n" ); document.write( "\n" ); document.write( "numberator will be 2x \n" ); document.write( "denominator will be 3x\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply\r \n" ); document.write( "\n" ); document.write( "13(2x+8)=10(3x+8)\r \n" ); document.write( "\n" ); document.write( "26x+104 = 30x+80\r \n" ); document.write( "\n" ); document.write( "30x-24x=104-80\r \n" ); document.write( "\n" ); document.write( "6x=24 \n" ); document.write( "x= 4\r \n" ); document.write( "\n" ); document.write( "2x=8 \n" ); document.write( "3x=12\r \n" ); document.write( "\n" ); document.write( "8/12 is the fraction \n" ); document.write( " |