Sarah's statement is true, opposing popular belief.
A common misconception if that they are positive fractions, which they need not be. As a matter of fact, if one of them is positive, it is not possible for the product, no matter how large, to have a positive product.
Remember, a negative multiplied by a negative produces a positive. You simply need a negative fraction and a negative fraction that is at most the reciprocal of the first to produce a product that is greater or equal to 1.
Examples:
