document.write( "Question 707485: a fraction is equal to 1/2. if its numerator is increased by 1 and its denominator is increased by 5 the value of the resulting fraction is 4/9 find the original fraction
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Algebra.Com's Answer #435797 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \"a fraction is equal to 1/2.\" \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "d = 2n \n" ); document.write( ": \n" ); document.write( " \"if its numerator is increased by 1 and its denominator is increased by 5 the value of the resulting fraction is 4/9\" \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "9(n+1) = 4(d+5) \n" ); document.write( "9n + 9 = 4d + 20 \n" ); document.write( "9n = 4d + 20 - 9 \n" ); document.write( "9n = 4d + 11 \n" ); document.write( "replace d with 2n \n" ); document.write( "9n = 4(2n) + 11 \n" ); document.write( "9n = 8n + 11 \n" ); document.write( "9n - 8n = 11 \n" ); document.write( "n = 11 \n" ); document.write( "then \n" ); document.write( "d = 22 \n" ); document.write( "hence \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( " \n" ); document.write( " |