Question 1202448
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The solution from the other tutor is a good formal algebraic solution.<br>
This particular type of problem can be solved more easily using an informal method.<br>
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.<br>
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.<br>
Then the fraction after adding 3 to both numerator and denominator is 12/16, which means the original fraction was 9/13.<br>
ANSWER: 9/13<br>