**Fractions **are the terms used to determine the parts of a whole object and there are many types of fractions to know. For example, let us consider a circle divided into 4 part, so each part is represented as \(\frac{1}{4}^{th}\) of the circle.

In this case “1” is the numerator and “4” is the denominator.

In mathematics there are 3 major types of functions.

- Proper Fractions
- Improper Fractions
- Mixed Fractions

Apart from these major fractions there are 3 more types of fractions, they are:

- Like Fractions
- Unlike Fractions
- Equivalent Fractions

Checkout Protonstalk Fraction Calculator

Index

**More About Fractions**

Basically a fraction is considered to be the ratio of two numbers where the denominator is not 0. Let us consider the fraction \(\frac{2}{3}\).

The below diagram gives us a detailed explanation of what actually a fraction is.

So the above circle is divided into 8 parts. So one part of the circle is \(\frac{1}{8}^{th}\) of the whole circle.

**Types of Fractions**

**Proper Fraction**

A fraction where the numerator is smaller than the denominator, then the fraction is said to be a proper fraction.

**Numerator < Denominator.**

For example

Upon simplification the value of this fraction is less than one.

**Improper Fraction**

A fraction where the numerator is greater than the denominator , then the fraction is said to be an improper fraction.

i.e **Numerator > Denominator.**

For example:

Upon simplification of these fractions , the value is equal to, or greater than ‘1’.

**Mixed Fractions**

A mixed fraction is basically an improper fraction. It is a combination of a natural number and fraction.

For example: 4(1/2)

- A mixed fraction is always greater than one.
- An improper fraction can be converted to a mixed fraction

**Like Fractions**

The fractions which have the same denominators are called *like fractions. *For example:1/4,3/4,7/4,5/4.

The simplification of like fractions is easier as the denominators are equal.

**Unlike Fractions**

The fractions which have different or unequal denominators are called unlike fractions.

For example 1/2,3/5,7/10,5/6

The simplification of unlike fractions is lengthy as we need to factorize the denominators first.

**Equivalent Fractions**

When two or more fractions, upon simplification, are equal to each other, then the fractions are said to be equivalent.

For example : 1/2,2/4, 4/8, 3/6, these fractions when simplified , are of the same value as 1/2.

**FAQs**

**How many types of fractions are present?**

The six kinds of fractions are, proper fractions, improper fractions, mixed fractions, like fractions, unlike fractions and equivalent fractions.

**What is an improper and proper fraction?**

**Ans**: A proper fraction is a fraction whose numerator is smaller than its denominator. An improper fraction is a fraction whose numerator is equal to or greater than its denominator.