Are all integers fractions? In a college class I was asked this question on a quiz in regards to sets:

All integers are fractions. T/F.

I answered False because if an integer is written in fraction notation it is then classified as a rational number. The teacher said the answer was True and gave me the link http://www.purplemath.com/modules/numtypes.htm. As a teacher of mathematics in the K-12 system I have always taught that integers were all whole numbers above and below zero, and including zero. All of the resources I have used agree to my definition. Please clarify this for me.
What is the truth, or are she and I just mincing words?

Every integer $x \in \mathbb Z$ can be expressed as the fraction $x \over 1$
