Not necessarily. And certainly not in a top-heavy (improper) fraction.
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The is no "largest" common denominator. For any denominator you find, we can multiply it by a natural number and come up with a larger one. Do you mean LEAST COMMON DENOMINATOR?
The one with the smaller number in the denominator. 3/4 is greater than 3/8
Actually, fractions go into the order by how large they are. This should actually be easier with a denominator. You know that if they all have the same denominator, that the number with the highest numerator is the largest.
Find the largest whole number that will divide into the numerator and the denominator evenly, divide them each.
In a proper fraction the numerator is smaller than the denominator. Since every two-digit number is larger than every one-digit number, there must be a one-digit numerator and two-digit denominator comprising 3 digits total. The greatest fraction will be the one with the largest possible numerator and smallest possible denominator. Choose a numerator of 9 (the largest one-digit number) and a denominator of 10 (the smallest 2-digit number). All 3 digits are different. The answer is 9/10.