Fraction Types
unity | equivalent |
proper | improper | mixed | compound
Unity
Any number divided by itself is 1.
1 = 1⁄1 = 2⁄2 = 3⁄3 =
... = |
6,782 |
= ... |
 |
| 6,782 |
An exception is 0⁄0 which does not have a particular value. We say it is "undefined".
Equivalent
Fractions which have the same value are called equivalent fractions.
| 2 |
= 4⁄6 = |
6 |
= 11,958⁄17,937 =
... |
|
|
| 3 |
9 |
Proper
A proper fraction is one where the numerator is less than the
denominator.
1⁄9 ( 1 < 9 )
5⁄8 ( 5 < 8 )
Improper
An improper fraction in one where the numerator is equal to or
larger than the denominator.
3⁄2 ( 3 > 2 )
19⁄7 ( 19 > 7 )
Mixed
A mixed number is a fraction which has a whole number combined
with a proper fraction, like 11⁄2 (which has the
same value as the improper fraction 3⁄2).
Compound
A compound fraction is a fraction where
either or both the numerator and the denominator are fractions themselves.
| 1⁄17 |
|
| 3⁄5 |
|
