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 Page 1


Fractions
Tamanna is a student of Grade 5. She has two chocolates of different 
sizes. She says that 
1
3
 of one of her chocolates is bigger than 
1
2
 of the 
other chocolate. Is that correct? Explain why this is so.
When can we say that 
1
2
 of something  
is greater than 
1
3
 of something?
To compare two fractions of two wholes, the wholes from which the 
fractions are derived must be the same.
A B C
Playing with a Grid
?	Shade 
1
8
 of Grid A in red.
?	Shade 
1
6
 of Grid B in blue.
?	Shade 
1
12
 of  Grid C in yellow.
?	Do you see 
1
3
 in any of the grids? Mark it.
2 2
Chapter Chapter
Identify 
1
2
 of 
the chocolate
Identify 
1
3
 of the chocolate
Chapter-2 Fraction.indd   17 Chapter-2 Fraction.indd   17 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
Page 2


Fractions
Tamanna is a student of Grade 5. She has two chocolates of different 
sizes. She says that 
1
3
 of one of her chocolates is bigger than 
1
2
 of the 
other chocolate. Is that correct? Explain why this is so.
When can we say that 
1
2
 of something  
is greater than 
1
3
 of something?
To compare two fractions of two wholes, the wholes from which the 
fractions are derived must be the same.
A B C
Playing with a Grid
?	Shade 
1
8
 of Grid A in red.
?	Shade 
1
6
 of Grid B in blue.
?	Shade 
1
12
 of  Grid C in yellow.
?	Do you see 
1
3
 in any of the grids? Mark it.
2 2
Chapter Chapter
Identify 
1
2
 of 
the chocolate
Identify 
1
3
 of the chocolate
Chapter-2 Fraction.indd   17 Chapter-2 Fraction.indd   17 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
18
Fun with Fraction Kit
Gurpreet is playing with his fraction kit (a kit is given at the end of the 
textbook). Do you remember how to make a whole with pieces of the same 
size? How many 
1
5
 pieces will you need to make a whole?  
He makes a whole using two different fraction pieces. The whole looks like 
the following.
One piece of 
1
2
 and two pieces of 
1
4
 make a whole.  
What is the relation between 
1
2
 and 
1
4
 ? Discuss 
in class.
1
2
 = 
2
4
 (
1
2
 is equivalent to 
2
4
). 
When a 
1
2
 piece is broken into 2 equal parts, each part is a 
1
4
 piece.  
2 pieces of 
1
4
 are equal to 
1
2
. 
What else is equivalent to 
1
2
?
1
2
 = 
2
4
 = 
____
 = 
____
 = 
____
1
2
1
4
1
4
Is 
1
3
 equal to 
2
6
? Let us find out. 
Look at the picture and identify the fractions. 
Are there two different ways to write the fraction represented by the 
shaded part? ___________________
Do you see that 
1
3
 = 
2
6
 ? Yes. These are called ‘equivalent fractions’. 
Let us see how equivalent fractions can be generated.
Chapter-2 Fraction.indd   18 Chapter-2 Fraction.indd   18 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
Page 3


Fractions
Tamanna is a student of Grade 5. She has two chocolates of different 
sizes. She says that 
1
3
 of one of her chocolates is bigger than 
1
2
 of the 
other chocolate. Is that correct? Explain why this is so.
When can we say that 
1
2
 of something  
is greater than 
1
3
 of something?
To compare two fractions of two wholes, the wholes from which the 
fractions are derived must be the same.
A B C
Playing with a Grid
?	Shade 
1
8
 of Grid A in red.
?	Shade 
1
6
 of Grid B in blue.
?	Shade 
1
12
 of  Grid C in yellow.
?	Do you see 
1
3
 in any of the grids? Mark it.
2 2
Chapter Chapter
Identify 
1
2
 of 
the chocolate
Identify 
1
3
 of the chocolate
Chapter-2 Fraction.indd   17 Chapter-2 Fraction.indd   17 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
18
Fun with Fraction Kit
Gurpreet is playing with his fraction kit (a kit is given at the end of the 
textbook). Do you remember how to make a whole with pieces of the same 
size? How many 
1
5
 pieces will you need to make a whole?  
He makes a whole using two different fraction pieces. The whole looks like 
the following.
One piece of 
1
2
 and two pieces of 
1
4
 make a whole.  
What is the relation between 
1
2
 and 
1
4
 ? Discuss 
in class.
1
2
 = 
2
4
 (
1
2
 is equivalent to 
2
4
). 
When a 
1
2
 piece is broken into 2 equal parts, each part is a 
1
4
 piece.  
2 pieces of 
1
4
 are equal to 
1
2
. 
What else is equivalent to 
1
2
?
1
2
 = 
2
4
 = 
____
 = 
____
 = 
____
1
2
1
4
1
4
Is 
1
3
 equal to 
2
6
? Let us find out. 
Look at the picture and identify the fractions. 
Are there two different ways to write the fraction represented by the 
shaded part? ___________________
Do you see that 
1
3
 = 
2
6
 ? Yes. These are called ‘equivalent fractions’. 
Let us see how equivalent fractions can be generated.
Chapter-2 Fraction.indd   18 Chapter-2 Fraction.indd   18 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
19
1. In groups of 3 or 4, find different ways of making a whole with different 
fraction pieces from your kit. Write the equivalent fractions for the 
following that you may find in the process. 
  (a) 
1
3
 =  = =  (b) 
1
4
 = = =
  (c) 
1
5
 =  = =  (d) 
1
6
 =  = =
Do you see how to generate equivalent fractions for any given fraction? 
Discuss in class. 
2. Find the following using your kit. You can also shade and check by 
shading the following. The first one is partially done for you.
A. How many 
1
6
s make 
1
3
? 
The shaded part is 
1
3
. Identify 
1
6
 in the same whole and find 
how many 
1
6
s fit into 
1
3
?
B. How many 
1
8
s make 
(a) 
1
4
?        (b) 
1
2
?
C. How many 
1
12
s make
  (a) 
1
2
                 (b) 
1
3
                    (c) 
1
4
                     (d) 
1
6
?
Let Us Do
Chapter-2 Fraction.indd   19 Chapter-2 Fraction.indd   19 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
Page 4


Fractions
Tamanna is a student of Grade 5. She has two chocolates of different 
sizes. She says that 
1
3
 of one of her chocolates is bigger than 
1
2
 of the 
other chocolate. Is that correct? Explain why this is so.
When can we say that 
1
2
 of something  
is greater than 
1
3
 of something?
To compare two fractions of two wholes, the wholes from which the 
fractions are derived must be the same.
A B C
Playing with a Grid
?	Shade 
1
8
 of Grid A in red.
?	Shade 
1
6
 of Grid B in blue.
?	Shade 
1
12
 of  Grid C in yellow.
?	Do you see 
1
3
 in any of the grids? Mark it.
2 2
Chapter Chapter
Identify 
1
2
 of 
the chocolate
Identify 
1
3
 of the chocolate
Chapter-2 Fraction.indd   17 Chapter-2 Fraction.indd   17 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
18
Fun with Fraction Kit
Gurpreet is playing with his fraction kit (a kit is given at the end of the 
textbook). Do you remember how to make a whole with pieces of the same 
size? How many 
1
5
 pieces will you need to make a whole?  
He makes a whole using two different fraction pieces. The whole looks like 
the following.
One piece of 
1
2
 and two pieces of 
1
4
 make a whole.  
What is the relation between 
1
2
 and 
1
4
 ? Discuss 
in class.
1
2
 = 
2
4
 (
1
2
 is equivalent to 
2
4
). 
When a 
1
2
 piece is broken into 2 equal parts, each part is a 
1
4
 piece.  
2 pieces of 
1
4
 are equal to 
1
2
. 
What else is equivalent to 
1
2
?
1
2
 = 
2
4
 = 
____
 = 
____
 = 
____
1
2
1
4
1
4
Is 
1
3
 equal to 
2
6
? Let us find out. 
Look at the picture and identify the fractions. 
Are there two different ways to write the fraction represented by the 
shaded part? ___________________
Do you see that 
1
3
 = 
2
6
 ? Yes. These are called ‘equivalent fractions’. 
Let us see how equivalent fractions can be generated.
Chapter-2 Fraction.indd   18 Chapter-2 Fraction.indd   18 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
19
1. In groups of 3 or 4, find different ways of making a whole with different 
fraction pieces from your kit. Write the equivalent fractions for the 
following that you may find in the process. 
  (a) 
1
3
 =  = =  (b) 
1
4
 = = =
  (c) 
1
5
 =  = =  (d) 
1
6
 =  = =
Do you see how to generate equivalent fractions for any given fraction? 
Discuss in class. 
2. Find the following using your kit. You can also shade and check by 
shading the following. The first one is partially done for you.
A. How many 
1
6
s make 
1
3
? 
The shaded part is 
1
3
. Identify 
1
6
 in the same whole and find 
how many 
1
6
s fit into 
1
3
?
B. How many 
1
8
s make 
(a) 
1
4
?        (b) 
1
2
?
C. How many 
1
12
s make
  (a) 
1
2
                 (b) 
1
3
                    (c) 
1
4
                     (d) 
1
6
?
Let Us Do
Chapter-2 Fraction.indd   19 Chapter-2 Fraction.indd   19 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
20
Making Equivalent Fractions
Sameer has shaded one-third of the following figures. He draws horizontal 
lines to divide the shapes into more equal parts. 
3. Do as instructed using your fraction kit.
?	Make a whole using only 
1
6
 and 
1
12
 pieces.
?	Make a whole using 
1
12
, 
1
4
, and 
1
2
 pieces.
?	Make a whole using any five pieces of the same size.
?	Make a whole using any seven pieces. 
Play in a group with this kit and find other interesting combinations to 
make a whole. Write or draw your findings.
4
12
1
3
2
6
3
9
 
Chapter-2 Fraction.indd   20 Chapter-2 Fraction.indd   20 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
Page 5


Fractions
Tamanna is a student of Grade 5. She has two chocolates of different 
sizes. She says that 
1
3
 of one of her chocolates is bigger than 
1
2
 of the 
other chocolate. Is that correct? Explain why this is so.
When can we say that 
1
2
 of something  
is greater than 
1
3
 of something?
To compare two fractions of two wholes, the wholes from which the 
fractions are derived must be the same.
A B C
Playing with a Grid
?	Shade 
1
8
 of Grid A in red.
?	Shade 
1
6
 of Grid B in blue.
?	Shade 
1
12
 of  Grid C in yellow.
?	Do you see 
1
3
 in any of the grids? Mark it.
2 2
Chapter Chapter
Identify 
1
2
 of 
the chocolate
Identify 
1
3
 of the chocolate
Chapter-2 Fraction.indd   17 Chapter-2 Fraction.indd   17 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
18
Fun with Fraction Kit
Gurpreet is playing with his fraction kit (a kit is given at the end of the 
textbook). Do you remember how to make a whole with pieces of the same 
size? How many 
1
5
 pieces will you need to make a whole?  
He makes a whole using two different fraction pieces. The whole looks like 
the following.
One piece of 
1
2
 and two pieces of 
1
4
 make a whole.  
What is the relation between 
1
2
 and 
1
4
 ? Discuss 
in class.
1
2
 = 
2
4
 (
1
2
 is equivalent to 
2
4
). 
When a 
1
2
 piece is broken into 2 equal parts, each part is a 
1
4
 piece.  
2 pieces of 
1
4
 are equal to 
1
2
. 
What else is equivalent to 
1
2
?
1
2
 = 
2
4
 = 
____
 = 
____
 = 
____
1
2
1
4
1
4
Is 
1
3
 equal to 
2
6
? Let us find out. 
Look at the picture and identify the fractions. 
Are there two different ways to write the fraction represented by the 
shaded part? ___________________
Do you see that 
1
3
 = 
2
6
 ? Yes. These are called ‘equivalent fractions’. 
Let us see how equivalent fractions can be generated.
Chapter-2 Fraction.indd   18 Chapter-2 Fraction.indd   18 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
19
1. In groups of 3 or 4, find different ways of making a whole with different 
fraction pieces from your kit. Write the equivalent fractions for the 
following that you may find in the process. 
  (a) 
1
3
 =  = =  (b) 
1
4
 = = =
  (c) 
1
5
 =  = =  (d) 
1
6
 =  = =
Do you see how to generate equivalent fractions for any given fraction? 
Discuss in class. 
2. Find the following using your kit. You can also shade and check by 
shading the following. The first one is partially done for you.
A. How many 
1
6
s make 
1
3
? 
The shaded part is 
1
3
. Identify 
1
6
 in the same whole and find 
how many 
1
6
s fit into 
1
3
?
B. How many 
1
8
s make 
(a) 
1
4
?        (b) 
1
2
?
C. How many 
1
12
s make
  (a) 
1
2
                 (b) 
1
3
                    (c) 
1
4
                     (d) 
1
6
?
Let Us Do
Chapter-2 Fraction.indd   19 Chapter-2 Fraction.indd   19 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
20
Making Equivalent Fractions
Sameer has shaded one-third of the following figures. He draws horizontal 
lines to divide the shapes into more equal parts. 
3. Do as instructed using your fraction kit.
?	Make a whole using only 
1
6
 and 
1
12
 pieces.
?	Make a whole using 
1
12
, 
1
4
, and 
1
2
 pieces.
?	Make a whole using any five pieces of the same size.
?	Make a whole using any seven pieces. 
Play in a group with this kit and find other interesting combinations to 
make a whole. Write or draw your findings.
4
12
1
3
2
6
3
9
 
Chapter-2 Fraction.indd   20 Chapter-2 Fraction.indd   20 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
21
He observes an interesting pattern and says that 
1
3
, 
2
6
, 
3
9
, and 
4
12
 show 
the same shaded region.
2
6
, 
3
9
, and 
4
12
 are all equivalent to 
1
3
. We use the word ‘equivalent’ to 
indicate the same part of a whole, with different names. 
Divide the wholes given below into more equal parts and find fractions 
equivalent to 
1
3
. Write them in the boxes below the images.
Do you see any pattern in all the equivalent fractions that you found? 
1
3
 = 
2
6
 = 
3
9
 = 
4
12
 = 
______
 = 
______
 = 
______
 = 
24
 = 
36
How do you know when a fraction is equivalent to another? Discuss in class. 
The below pictures show 
2
5
 of a whole. Find the different fractions that are 
equivalent to 
2
5
 and write your fractions below each image. 
2
5
 = 
4
10
 =  
_____
 = 
_____
 = 
50
 = 
100
2
5
4
10
4
36
4
36
Chapter-2 Fraction.indd   21 Chapter-2 Fraction.indd   21 7/2/2025   3:30:30 PM 7/2/2025   3:30:30 PM
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FAQs on NCERT Textbook: Fractions - Mathematics (Maths Mela) Class 5 - New NCERT

1. What are fractions and how are they represented?
Ans. Fractions are a way to represent a part of a whole. They are expressed in the form a/b, where 'a' is the numerator (the number of parts we have) and 'b' is the denominator (the total number of equal parts the whole is divided into). For example, in the fraction ¾, 3 is the numerator and 4 is the denominator, indicating that we have 3 out of 4 equal parts.
2. How do you compare two fractions to determine which is larger?
Ans. To compare two fractions, you can use a common denominator or convert them to decimal form. If they have the same denominator, the fraction with the larger numerator is greater. If they have different denominators, you can find the least common multiple (LCM) of the denominators, convert both fractions to this common denominator, and then compare the numerators.
3. What are equivalent fractions and how can you find them?
Ans. Equivalent fractions are different fractions that represent the same value or proportion of a whole. To find equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. For example, ½ is equivalent to 2/4, as both represent the same part of a whole.
4. How can you add or subtract fractions with different denominators?
Ans. To add or subtract fractions with different denominators, you first need to find a common denominator. This is usually the least common multiple (LCM) of the two denominators. Once you have a common denominator, convert each fraction to this new fraction, then add or subtract the numerators while keeping the common denominator the same. Finally, simplify the resulting fraction if possible.
5. What is the process for simplifying fractions?
Ans. Simplifying fractions involves reducing them to their simplest form, where the numerator and denominator have no common factors other than 1. To simplify a fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD). For example, the fraction 8/12 can be simplified by dividing both the numerator and denominator by their GCD, which is 4, resulting in 2/3.
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