The product of two positive fractions are also less than one because you are multiplying a number which is already less than 1.
For example.
1/ 2 = is 50% of a whole.
When you multiply 1/2 by 1/2 you do not get the 100% of the whole because you are only getting 50% of the 50% of the whole, which in turn is equivalent to 25% of the whole.
1/2 * 1/2 = 1/4 of the whole.
The only time you can get a result of 1 and above where two fractions are less than 1 is when you perform addition of these fractions.
1/2 + 1/2 = 1
