Lesson History of mathematics

Applications of fractions 

Some applications of the fractions are: 

(i) Fractions are useful to find out a part of a whole number. 

(ii) We use fractions for distribution. 

For example: To distribute 6 apples between 2 friends we can find out  

1

⁄

2

 of  6. We 

can give 3 apples to each friend.  

  

Types of fractions 

There are three types of fractions: 

(i) Proper fractions 

(ii) Improper fractions 

(iii) Mixed fractions 

  

Proper fractions 

Proper fractions refer to those fractions where the numerator is smaller than the 

denominator. A proper fraction is a part of a whole. For example  

1

⁄

2 

,

3

⁄

4 

, 

5

⁄

9 

, 

11

⁄

13

  

  

Improper fractions 

Improper fractions are those fractions where the numerator is greater than the 

denominator. They are greater than a whole. For example 

7

⁄

5

 ,

9

⁄

5

 

  

Mixed fractions 

When we combine a whole number and a proper fraction together, we get a mixed 

fraction. 

 

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Vocabulary 

 

Fraction  

Qism, Kasr 

Hence  

Shuning uchun 

Proper fractions 

To’g’ri kasrlar 

Numerate  

Matematika 

bilimdoni 

Improper fractions  Noto’g’ri kasrlar 

Denominator 

Maxraj  

 Mixed fractions 

Aralash kasrlar 

Numerator 

Surat 

Case  

Holat  

Divide  

Bo’lmoq