# TYPES OF FRACTIONS

Types of Fractions :

In this section, you will learn different types of fractions.

Within the world of fractions, we do have several types and ways of writing them. Let's discuss these now.

Proper Fraction :

In a proper fraction, the numerator will always be smaller than the denominator.

Examples :

2/5,  3/11

Improper Fraction :

In an improper fraction, the numerator will be equal to or larger than the denominator.

Examples :

7/5,  3/2, 1/1

Mixed Fraction :

A fraction consisting of a natural number and a proper fraction is called a mixed fractions.

Examples :

2 3/4, 1 4/5, 5 1/7

Like Fractions:

In two or more fractions, the denominators (bottom numbers) are same, they are called as like fractions.

Example :

3/5 , 6/5, 2/5, 7/5

In the above fractions, all the denominators are same. That is 5.

Unlike Fractions :

In two or more fractions, the denominators (bottom numbers) are different, they are called as unlike fractions.

Example :

3/5 , 6/7, 2/9, 7/2

In the above fractions, all the denominators are different. They are 5, 7, 9 and 2.

## Difference between Proper Fraction and Improper Fraction

Proper Fraction

The value of a proper fraction will always be smaller than 1.

Improper Fraction

The value of an improper fraction will be equal to 1 or larger than 1.

The picture shown below clearly illustrates this.

## Mixed Fractions

Mixed fraction is a quantity which is expressed as a whole number and a proper fraction.

Always its value will be greater than or equal to 1.

The picture given below clearly illustrates this.

## Conversions

1. An improper fraction can be converted into a mixed numeral and vice versa.

2. A proper fraction can never be converted into a mixed numeral.

3. When we convert a mixed numeral into a fraction, always, we will get an improper fraction.

## Converting an Improper Fraction to a Mixed Fraction

The picture given below illustrates, how to convert an improper fraction into mixed number.

## Converting a Mixed Numeral into an Improper Fraction

The picture shown below illustrates how to write a mixed number as an improper fraction.

After having gone through the stuff given above, we hope that the students would have understood the different types of fractions.

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