Geometry Help, Please?

Question

Directions: Find one countereample to show that each conjecture is false.

Problem: The product of two postive numbers is greater than either number.


Thanks for any help, I don't know why I can't get it.
Please explain how you got the answer.
Thank you.

Also this one I can't get.

Same directions.
Problem: The quotient of two proper fractions is a proper fraction.

Answer 1

1/2 > 0 and 1/3 > 0, but (1/2) * (1/3) = 1/6, which is smaller than either 1/2 or 1/3.