Fraction | Type of fraction

Fractions are one of the most common terms used in Maths. Here we learn about fraction and type of fraction.


A fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters etc. A fraction simply tells us how many parts of a whole we have. You can recognize a fraction by the slash that is written between the two numbers. We have a top number, the numerator, and a bottom number, the denominator.
The top number the Numerator, it is the number of parts we have.
The bottom number the Denominator, it is the number of parts the whole is divided into.

Type of fraction

There are many types of fraction:
1. Proper fraction
2. Improper fraction
3. Mixed fraction

Proper fraction

Factions whose numerators are less than the denominators are called proper fractions.
(Numerator < denominator)
For example, the fraction 7/8 is a proper fraction.

Improper fraction

Fractions with the numerator either equal to or greater than the denominator are called improper fraction. A fraction greater than or equal to 1.
(Numerator = denominator or, Numerator > denominator)
For example, the fraction 8/7 is an improper fraction. The fraction 7/7 is also improper fraction.

Mixed fraction

A combination of a proper fraction and a whole number is called a mixed fraction.
For example, the fraction 113, 213, 323 are mixed fraction.
A mixed fraction may always be converted into an improper fraction and vise-versa.
312 = 3×2+12 = 6+12 = 72

Change Improper fraction to Mixed Fraction

92 = 412
Divide the numerator by the denominator. Write the quotient (4), and write the remainder (1) as the numerator of the fraction; do not change the denominator.

Like & Unlike fraction

The fractions with the same denominators are called like fractions.
For example, 1/5, 3/5, 2/5, 4/5, 6/5
The fractions with different denominators are called unlike fractions.
For example, 3/4, 5/6, 1/3, 4/7, 9/9

Equivalent Fractions

Equivalent Fractions have the same value, even though they may look different.
13 = 36 = 912
Two or more than two fractions are said to be equal if both results in same fraction after simplification.

I hope, this article will help you lot to understand the Fraction | Type of fraction, & in solving various problems related to this article, if you still have any doubts related to this article, you can ask it into the comment section. If you have any problem in any topic of mathematics you can post your problem in the comment section. You will get a reply shortly.

3 thoughts on “Fraction | Type of fraction

  1. Sometimes I got confused with types of fraction to kinds of fractions. There are several terms for fraction where I am confused to where they should be categorized to. Proper fraction, improper fraction, mixed number, whole number, equivalent fractions, like fractions, and unlike fractions are terms that should be categorized properly to avoid a confusion.

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