document.write( "Question 119285: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fraction. \n" ); document.write( "
Algebra.Com's Answer #87392 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x = original numerator \n" ); document.write( ": \n" ); document.write( "Just write an expression for what it says: \n" ); document.write( ": \n" ); document.write( "\"the denominator of a fraction is 5 more than the numerator.\" \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "\"if 5 is added to the numerator and 2 is added to the denominator,: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( " \"the value of the fraction is 8/9.\" \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "\" find the original fraction.\" \n" ); document.write( ": \n" ); document.write( "Cross multiply and solve for x: \n" ); document.write( "9(x+5) = 8(x+7) \n" ); document.write( ": \n" ); document.write( "9x + 45 = 8x + 56 \n" ); document.write( ": \n" ); document.write( "9x - 8x = 56 - 45 \n" ); document.write( ": \n" ); document.write( "x = 11 \n" ); document.write( ": \n" ); document.write( "Original fraction: \n" ); document.write( ": \n" ); document.write( "Check solution using the statement: \n" ); document.write( "\"if 5 is added to the numerator and 2 is added to the denominator the value of the fraction is 8/9.\" \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "How about this? Could you follow this OK? Any questions? \n" ); document.write( " \n" ); document.write( " |