document.write( "Question 169333: The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by one and the denominator is increased by 2, the value of the fraction becomes 2/3. Find the fraction. \n" ); document.write( "
Algebra.Com's Answer #124829 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by one and the denominator is increased by 2, the value of the fraction becomes 2/3. Find the fraction. \n" ); document.write( "-------------------------- \n" ); document.write( "Let the numerator be \"x\"; then the denominator is \"x+1\". \n" ); document.write( "----------- \n" ); document.write( "EQUATION: \n" ); document.write( "(x+1)/(x+3) = 2/3\r \n" ); document.write( "\n" ); document.write( "3(x+1) = 2(x+3) \n" ); document.write( "3x+3 = 2x+6 \n" ); document.write( "x = 3 \n" ); document.write( "x+1 = 4 \n" ); document.write( "---------- \n" ); document.write( "Ans: 3/4 \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |