Fractions are mainly classified into three types by the system of their formation.

1.

A fraction which contains less value in numerator than denominator is called proper fraction.

2.

A fraction which contains greater value in numerator than denominator is called improper fraction.

3.

A fraction which contains a whole and a fraction is called mixed fraction.

Fractions are also classified into three types by comparing them.

2.

The fractions which have different denominators are called unlike fractions.

3.

The fractions which have equal numerical value are called equal fractions.