Hello from MrBillDoesMath!
Answer:
Not so simple. See discussion below
Discussion:
Consider these two examples:
0<= f < = 1, then (2/3) * f < (2/3) * 1 = 2/3
so the product is less than either of the factors
f = -5, then (2/3)* (-5/1) = -10/3
so the product is actually larger than the factor -5 !
In other words, the general answer depends upon the sign as well as value of the fraction. The problem probably meant that multiplying a positive fraction by a number less than 1 and >= 0 makes the product smaller. But as your see from the above examples, a more fine grained analysis is required for a full answer.
Thank you,
MrB