If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be :

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.
Let us say one of the fraction is 1/2 and the other fraction is 1/3 .
The product of the two fractions is 1/2 x 1/3 = 1/6 .
 is lesser than both 1/2  and 1/3 .
So, the correct answer is that the product is always less than either of the original fractions.