Any proper fraction with the numerator less than the denominator is less than one.
1/2, 1/3, 1/4
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A fraction less than one is a fraction where the numerator is smaller than the denominator. For example, 1/2, 3/4, and 5/6 are all fractions less than one. These fractions represent a part of a whole that is smaller than the whole.
1/2 is the same as 19.5/39, which is more than 4/39. (Don't use decimals in fractions, this was an example.)
A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.
There are tons of fractions that are less than 1/2. For example, there's 1/3,1/4,1/5,2/5,1/6,2/6,1/7,2/7,3/7,1/8,2/8,3/8,1/9,2/9,3/9,4/9,1/10,2/10,3/10,4/10 etc.
There can be no reason because your assertion is not true.For example, 1/6 and 1/2 are both fractions less than one. But their quotient is (1/6)/(1/2) = (1/6)*(2/1) = 2/6 = 1/3. And that is not more than 1/2.