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 Page 1


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Fractions
(Refers to the Chapter # 9 of the NCERT Maths Book of Class IV)
Summary
• Fraction: A fraction is a part of a whole (or collection) divided in 
equal parts.
• This chapati is a whole and  • These eight balls if grouped together
 is denoted by 1.  form a collection and the collection
   is again represented as 1.
• When it is divided into equal  • When the collection is divided
 parts, each part is called Half   into two equal parts, each part is
 or ½.  called half or =
41
82
 
Page 2


80
M E
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A
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Fractions
(Refers to the Chapter # 9 of the NCERT Maths Book of Class IV)
Summary
• Fraction: A fraction is a part of a whole (or collection) divided in 
equal parts.
• This chapati is a whole and  • These eight balls if grouped together
 is denoted by 1.  form a collection and the collection
   is again represented as 1.
• When it is divided into equal  • When the collection is divided
 parts, each part is called Half   into two equal parts, each part is
 or ½.  called half or =
41
82
 
M E
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T
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Tutty Speaks
  In  1      Numerator
   2      Denominator
Since denominator shows ‘ total number of equal 
parts made’ , it cannot be zero. Numerator represents 
‘number of equal parts taken or selected’.
• Each of the following circles has been divided into four equal  parts. 
Shaded portion in each represents:
 One - fourth  Two - fourths Three - fourths Four - fourths 
 or or two quarters or or, Four quarters
 one quarter  or three quarters or
 
 
 
1
4
2
4
3
4
4
4
2
4
1
2
=
1
2
4
4
1
1
=
1
1
1 =
whole
Half
Page 3


80
M E
N
T
A
L
M
A
T H
S
 
Fractions
(Refers to the Chapter # 9 of the NCERT Maths Book of Class IV)
Summary
• Fraction: A fraction is a part of a whole (or collection) divided in 
equal parts.
• This chapati is a whole and  • These eight balls if grouped together
 is denoted by 1.  form a collection and the collection
   is again represented as 1.
• When it is divided into equal  • When the collection is divided
 parts, each part is called Half   into two equal parts, each part is
 or ½.  called half or =
41
82
 
M E
N
T
A
L
M
A
T H
S
81
Tutty Speaks
  In  1      Numerator
   2      Denominator
Since denominator shows ‘ total number of equal 
parts made’ , it cannot be zero. Numerator represents 
‘number of equal parts taken or selected’.
• Each of the following circles has been divided into four equal  parts. 
Shaded portion in each represents:
 One - fourth  Two - fourths Three - fourths Four - fourths 
 or or two quarters or or, Four quarters
 one quarter  or three quarters or
 
 
 
1
4
2
4
3
4
4
4
2
4
1
2
=
1
2
4
4
1
1
=
1
1
1 =
whole
Half
82
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N
T
A
L
M
A
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S
Tuntty Speaks
If we divide a shape or collection into four 
unequal parts, then each part is not 
called a fraction.
Questions
1. What part of the circle is not shaded?
1
2
1
2
+=             1
=
1
4
1
4
+=     1
1
4
1
4
+ +
Two halves make a wholeFour fourths make a whole
=
=
1
3
=        1
1
3
1
3
+ +
r ee thirds make a whole
Page 4


80
M E
N
T
A
L
M
A
T H
S
 
Fractions
(Refers to the Chapter # 9 of the NCERT Maths Book of Class IV)
Summary
• Fraction: A fraction is a part of a whole (or collection) divided in 
equal parts.
• This chapati is a whole and  • These eight balls if grouped together
 is denoted by 1.  form a collection and the collection
   is again represented as 1.
• When it is divided into equal  • When the collection is divided
 parts, each part is called Half   into two equal parts, each part is
 or ½.  called half or =
41
82
 
M E
N
T
A
L
M
A
T H
S
81
Tutty Speaks
  In  1      Numerator
   2      Denominator
Since denominator shows ‘ total number of equal 
parts made’ , it cannot be zero. Numerator represents 
‘number of equal parts taken or selected’.
• Each of the following circles has been divided into four equal  parts. 
Shaded portion in each represents:
 One - fourth  Two - fourths Three - fourths Four - fourths 
 or or two quarters or or, Four quarters
 one quarter  or three quarters or
 
 
 
1
4
2
4
3
4
4
4
2
4
1
2
=
1
2
4
4
1
1
=
1
1
1 =
whole
Half
82
M E
N
T
A
L
M
A
T H
S
Tuntty Speaks
If we divide a shape or collection into four 
unequal parts, then each part is not 
called a fraction.
Questions
1. What part of the circle is not shaded?
1
2
1
2
+=             1
=
1
4
1
4
+=     1
1
4
1
4
+ +
Two halves make a wholeFour fourths make a whole
=
=
1
3
=        1
1
3
1
3
+ +
r ee thirds make a whole
M E
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83
2. What part of the square is shaded?
3. Which of the following is half shaded?
(i) 
  A B C D
(ii) 
  A B C D
4. Which of the following is three quarters shaded?
  A B C D
Page 5


80
M E
N
T
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L
M
A
T H
S
 
Fractions
(Refers to the Chapter # 9 of the NCERT Maths Book of Class IV)
Summary
• Fraction: A fraction is a part of a whole (or collection) divided in 
equal parts.
• This chapati is a whole and  • These eight balls if grouped together
 is denoted by 1.  form a collection and the collection
   is again represented as 1.
• When it is divided into equal  • When the collection is divided
 parts, each part is called Half   into two equal parts, each part is
 or ½.  called half or =
41
82
 
M E
N
T
A
L
M
A
T H
S
81
Tutty Speaks
  In  1      Numerator
   2      Denominator
Since denominator shows ‘ total number of equal 
parts made’ , it cannot be zero. Numerator represents 
‘number of equal parts taken or selected’.
• Each of the following circles has been divided into four equal  parts. 
Shaded portion in each represents:
 One - fourth  Two - fourths Three - fourths Four - fourths 
 or or two quarters or or, Four quarters
 one quarter  or three quarters or
 
 
 
1
4
2
4
3
4
4
4
2
4
1
2
=
1
2
4
4
1
1
=
1
1
1 =
whole
Half
82
M E
N
T
A
L
M
A
T H
S
Tuntty Speaks
If we divide a shape or collection into four 
unequal parts, then each part is not 
called a fraction.
Questions
1. What part of the circle is not shaded?
1
2
1
2
+=             1
=
1
4
1
4
+=     1
1
4
1
4
+ +
Two halves make a wholeFour fourths make a whole
=
=
1
3
=        1
1
3
1
3
+ +
r ee thirds make a whole
M E
N
T
A
L
M
A
T H
S
83
2. What part of the square is shaded?
3. Which of the following is half shaded?
(i) 
  A B C D
(ii) 
  A B C D
4. Which of the following is three quarters shaded?
  A B C D
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5. Which shape shows one - half?
  A B C
6. Identify the fraction of the shaded portion:
 A. 
1
4
 B. 
2
5
 C. 
2
4
 D. 
2
3
7. What is the fraction of the shaded portion in the figure?
 A. 
1
4
 B. 
3
4
 C. 
1
2
 D. 1
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FAQs on Printable Textbook: Fractions - Level 1 - Mental Maths - Class 1

1. What are fractions, and how are they represented?
Ans. Fractions are a way to represent parts of a whole. They consist of two numbers: the numerator, which is the top part, and the denominator, which is the bottom part. The numerator indicates how many parts are being considered, while the denominator shows how many equal parts the whole is divided into. For example, in the fraction ¾, 3 is the numerator and 4 is the denominator.
2. How do you add and subtract fractions?
Ans. To add or subtract fractions, they must have a common denominator. If they do not, you first need to find a common denominator, which is usually the least common multiple (LCM) of the denominators. Once the denominators are the same, you can add or subtract the numerators while keeping the denominator unchanged. For instance, to add ¼ and ⅓, you would convert them to a common denominator of 12, resulting in 3/12 + 4/12 = 7/12.
3. What is the difference between proper and improper fractions?
Ans. A proper fraction is one where the numerator is less than the denominator, such as ⅗. An improper fraction, on the other hand, has a numerator that is greater than or equal to the denominator, like ⁵⁄₄. Improper fractions can also be converted into mixed numbers, which combine a whole number and a proper fraction, such as 1 ¼ for the improper fraction ⁵⁄₄.
4. Can fractions be simplified, and if so, how?
Ans. Yes, fractions can often be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify ⁶⁄₈, you find the GCD of 6 and 8, which is 2. Dividing both the numerator and denominator by 2 gives you ³⁄₄, which is the simplified form.
5. How do you convert fractions to decimals?
Ans. To convert a fraction to a decimal, you divide the numerator by the denominator. For instance, to convert ¾ to a decimal, you would perform the division 3 ÷ 4, which equals 0.75. This method works for any fraction, providing a decimal representation of the same quantity.
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