The fraction 6/6 is NOT a proper fraction. In fact, 6/6 is an improper fraction. In order to understand why 6/6 is not a proper fraction, we must understand the definition of a proper fraction.

**Definition of a Proper Fraction:**

We say that a fraction is a proper fraction if the numerator of the fraction is *strictly* less than the denominator. The word “strictly less” means that the numerator must be smaller and not equal to the denominator. Some examples of proper fractions are:

- 5/6
- 3/4
- 7/8

**Why is 6/6 NOT a proper fraction?**

From the above definition, it is clear that 6/6 is not a proper fraction. Since the definition requires to numerator to be less than the denominator whereas in this case, the numerator is equal to the denominator. So we can conclude that 6/6 is an IMPROPER fraction.

**Definition of Improper Fraction:**

We say that a fraction is improper if the numerator is either *greater or equal* to the denominator. For the fraction 6/6 since the numerator is equal to the denominator we say that it is an improper fraction. Some other examples of improper fractions are:

- 5/3 is an improper fraction since 5 is greater than 3.
- The fraction 4/4 is improper since the numerator is equal to the denominator.
- 9/5 is an improper fraction.