document.write( "Question 1202448: The numerator of a fraction is 4 less than its denominator, if 3 is added both the numerator and denominator, the resulting number is 3/4. what is the original fraction. Explain.
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Algebra.Com's Answer #837309 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The solution from the other tutor is a good formal algebraic solution. \n" ); document.write( "This particular type of problem can be solved more easily using an informal method. \n" ); document.write( "The numerator of the original fraction is 4 less than the denominator; when 3 is added to both numerator and denominator, the numerator is still 4 less than the denominator. \n" ); document.write( "The resulting fraction is equivalent to 3/4. In that fraction, the numerator is 1 less than the denominator. To get a fraction equivalent to 3/4 in which the numerator is 4 less than the denominator -- as required by the problem -- multiply numerator and denominator of the fraction 3/4 by 4 to get 12/16. \n" ); document.write( "Then the fraction after adding 3 to both numerator and denominator is 12/16, which means the original fraction was 9/13. \n" ); document.write( "ANSWER: 9/13 \n" ); document.write( " \n" ); document.write( " |