Types of Fractions

Types of Fractions for Class 4 Maths

In this learning concept, the students will also learn to

•  Fractions - Introduction 

• Like & Unlike Fractions 

• Proper, Improper & Mixed Fractions

Each concept is explained to class 4 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the printable fraction worksheets given at the page’s end.

Download the fraction worksheets for class 4 and check the solutions to the fraction question for class 4 provided in PDF format.

Introduction to Fractions

Fractions explain a portion of a whole. Imagine that you own a pizza, and you want to divide the pizza among your friends. If you divide the pizza into 4 equal pieces and take one piece, then you have 1/4 of a pizza. In the fraction 1/4, it shows you how many pieces you have in comparison to how many total equal pieces there are. 

A fraction is written as:

Numerator/Denominator

• Numerator: The one on top counts how many parts we have.

• Denominator: A number placed at the bottom tells how many equal parts the 

whole thing is divided into.

Different ways of representing fractions

1. Half (1/2): If you divide something into 2 equal parts and take one of them, then it is called half.

         Example: Suppose you cut a pizza into 2 equal pieces and then ate one piece of it; then you ate half of the pizza. 

 

2. One-Third (1/3): If you take one of three equal parts, it is called one-third.

        Suppose you share a chocolate bar among three of your friends so that each friend gets one out of the three parts-that is, one-third of the chocolate bar.

     

 

 3. Quarter (1/4): A quarter is that which you have when you cut something into four equal parts and take 1 of those parts. 

     So, if you divided a waffle into 4 equal pieces, one of those pieces is a quarter of the waffle.

These fractions show how we can divide things into equal parts and name those parts.

 

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Like and Unlike Fraction

Fractions can be classified into two types:

Like Fractions

 

Fractions having the same denominator are called like fractions.

Examples: 

Explanation: Since all of these fractions have 4 as the denominator, they're "like" fractions.

Unlike Fractions

Fractions having different denominators are called unlike fractions

Examples: 

Explanation: These fractions have different numbers at the bottom, so they are "unlike" fractions.

 

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Quiz for Like and Unlike Fractions 

1. Which of these pairs are like fractions?

• a) 1/4 and 3/4

• b) 2/3 and 5/6

• c) 3/5 and 1/2

• d) 1/8 and 3/7

2. Which of these pairs are unlike fractions?

• a) 4/9 and 7/9

• b) 5/8 and 2/8

• c) 6/11 and 4/5

• d) 3/10 and 7/10

3. Like fractions have the same:

• a) numerator

• b) denominator

• c) whole number

• d) decimal

4. The fractions 2/6 and 5/6 are:

• a) unlike fractions

• b) like fractions

• c) whole numbers

• d) not fractions

5. Which pair of fractions have different denominators?

• a) 3/4 and 2/4

• b) 1/3 and 1/4

• c) 6/7 and 5/7

• d) 2/5 and 4/5

 

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Proper, Improper & Mixed Fractions 

Types of Fractions 

Proper Fractions

Definition: Fractions in which the numerator is smaller than the denominator is called proper fractions.

Examples for Proper Fraction : 

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Improper Fractions

Definition: Fractions in which the numerator, is bigger or equal to the denominator is called as improper fraction.

Examples: 

Mixed Fractions

Definition: A mixed fraction is a combination of a whole number and a fraction. It's like when you have both a full part and a part of something. For example, 1 ½ means you have 1 whole and half of another whole.

Examples:

 

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Converting a Mixed Fraction to an Improper Fraction

To convert a mixed fraction into an improper fraction, follow these easy steps:

• Multiply the whole number by the denominator of the fraction.

• Add the numerator of the fraction to the result.

• Write the sum over the denominator.

Example:

Multiply the whole number by the denominator: 2×3=6

Add the numerator: 6+1=7

Write the sum over the denominator:7/3

So, 

 

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Converting an Improper Fraction into a Mixed Fraction

To convert an improper fraction into a mixed fraction, follow these steps:

• Divide the numerator by the denominator.

• The quotient (the result of the division) becomes the whole number.

• The remainder becomes the numerator of the fraction.

• The denominator stays the same.

Examples: 7/3

Divide the numerator by the denominator:  7÷3=2 (quotient) with a remainder of 

The whole number is 2, and the remainder (1) is the numerator.

The denominator is the same as 3.

Thus, 7/3 = 2 ⅓ 

 

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Quiz on Proper, Improper, & Mixed Fractions

1. Which of these is a proper fraction?

a) 7/3

b) 5/4

c) 2/3

d) 6/5

2. What is the mixed fraction form of 9/4?

a) 2 ¼

b) 1 ¼ 

c) 3 ¼ 

d) 2 2/4 

3. Which fraction is an improper fraction?

a) 3/8

b) 7/5

c) 2/3

d) 4/6

4. What is the improper fraction form of the mixed fraction 3 2/5?

a) 1 7/5 

b) 1 ⅖  

c) 14/5

d) 8/5

5.Which of these is an example of a mixed fraction?

a) 4/5

b) 7/2

c) 2 ⅓ 

d) 6/7

Easy Level Worksheets

Intermediate Level Worksheets

Advanced Level Worksheets