Here is the problem: if the product of the numerator and denominator of a proper fraction in simplest form is 24, what is the maximum possible sum of its numerator and denominator?
When we try to solve, the possible numerators and denominators in simplest form that would give a product of 24 would be 1,6; 2,3; 3,8; and 1,24. Thus, the factors that would give the maximum possible sum would be 1 and 24, and the sum being 25.
However, the answer key gives us 3,8 as the factors with the sum being 11. We are confused as to why this is the case that is correct. Thanks in advance for any help