# Types of Fractions

Types of fractions :

1) Proper fractions

2) Improper fractions

3) Mixed fractions

4) Equivalent fractions

Proper fractions : A fraction in which the numerator is less than the denominator.

Example :

1) 2/7
Here, the numerator is 2 and denominator 7.
Numerator (2) < Denominator (7)
So, its a proper fraction.

2) 5/8 ( 5 < 8)
So, its a proper fraction.

3) 12/17
(12 < 17)
So, its a proper fraction.

Improper fractions : A fraction in which the numerator is greater than denominator.

Example :

1) 7/2
Here the numerator is greater than denominator.
( 7 > 2)
So, its an improper fraction.

2) 8/5
(8 > 5) so its an improper fraction.

Mixed fractions : A combination of a whole number and a proper fraction is called a mixed fraction.

In other words, we can say that mixed fraction has two parts 1) natural number 2) proper fraction.

1
, 2 , 5 7/9 etc.

Property 1: A mixed fraction may always be converted in to an improper fraction.

Multiply the natural number by the denominator and add to the numerator. This new numerator over the denominator is the required fraction.

Example : 4 = [( 4 x 3) + 1 ] / 3 = (12 + 1) / 3 = 13/3

Example : A fraction like 7/2 can also be expressed as 3 ½ , or 8/5 can be written as 1 3/5.

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Practice

State whether the following fractions are proper or improper.
1) 18/5
2) 9/2
3) 11/17
4) 13/4
5) 19/23

Write 4 equivalent fractions of the following
1) 3/7
2) 5/8
3) 1/10
4) 6/11
5) 8/9

Fraction

Types of Fractions
Conversion of improper to mixed fraction
Equivalent Fractions
Fractions in Simplest form
Like and Unlike Fractions