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 1^{1}⁄_{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} 
