Definition
Non-unit fraction
A non-unit fraction is a positive fraction with a numerator greater than 1.
Continue from this idea into connected AXIO math.
Boundary check: 4/7 is four copies of 1/7; a numerator of 1 would make a unit fraction.
What it means
The denominator names the size of one equal part. The numerator tells how many of those parts you have. When you have more than one part, the fraction is non-unit. A non-unit fraction can still be less than one, equal to one, or greater than one.
Remember it
Unit means one part; non-unit means two or more of those parts.
Example
4/7 is four copies of 1/7: 1/7 + 1/7 + 1/7 + 1/7. Because the numerator is 4, it is a non-unit fraction.
Watch for
1/7 is a unit fraction, not a non-unit fraction, because its numerator is 1.
Common mix-up
Non-unit does not mean improper: 4/7 is non-unit but still less than one whole.
Exact meaning
In the positive primary-fraction sense used here, a non-unit fraction has a numerator greater than 1. It represents two or more copies of the unit fraction with the same denominator.