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)\"\" \"About 
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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( "\"%282x%2B8%29%2F%283x%2B8%29=+10%2F13\"\r
\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
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