                       # Fraction Types

### Unity

Any number divided by itself is 1.

 1 = 1⁄1 = 2⁄2 = 3⁄3 = ... = 6,782 = ... 6,782

An exception is 00 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.

19 ( 1 < 9 )

58 ( 5 < 8 )

### Improper

An improper fraction in one where the numerator is equal to or larger than the denominator.

32 ( 3 > 2 )

197 ( 19 > 7 )

### Mixed

A mixed number is a fraction which has a whole number combined with a proper fraction, like 112 (which has the same value as the improper fraction 32).

### Compound

A compound fraction is a fraction where either or both the numerator and the denominator are fractions themselves.

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