Fractions - Exercise 6.1 Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Class 6 : Fractions - Exercise 6.1 Class 6 Notes | EduRev

 Page 1


 
 
 
 
 
 
Exercise 6.1                                                                                 PAGE: 6.4 
1. Write the fraction representing the shaded portion: 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 3 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/3 
 
(ii) From the figure we know that 
Total number of parts = 15 
Number of parts which are shaded = 11 
So we get 
Fraction of the shaded portion = 11/15 
 
(iii) From the figure we know that 
Total number of parts = 9 
Page 2


 
 
 
 
 
 
Exercise 6.1                                                                                 PAGE: 6.4 
1. Write the fraction representing the shaded portion: 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 3 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/3 
 
(ii) From the figure we know that 
Total number of parts = 15 
Number of parts which are shaded = 11 
So we get 
Fraction of the shaded portion = 11/15 
 
(iii) From the figure we know that 
Total number of parts = 9 
 
 
 
 
 
 
Number of parts which are shaded = 8 
So we get 
Fraction of the shaded portion = 8/9 
 
(iv) From the figure we know that 
Total number of parts = 7 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/7 
 
(v) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/9 
 
(vi) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/4 = 1/2 
 
(vii) From the figure we know that 
Total number of parts = 2 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/2 
 
(viii) From the figure we know that 
Total number of parts = 5 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/5 
 
(ix) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/4 
 
2. Write the fraction representing the shaded parts: 
Page 3


 
 
 
 
 
 
Exercise 6.1                                                                                 PAGE: 6.4 
1. Write the fraction representing the shaded portion: 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 3 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/3 
 
(ii) From the figure we know that 
Total number of parts = 15 
Number of parts which are shaded = 11 
So we get 
Fraction of the shaded portion = 11/15 
 
(iii) From the figure we know that 
Total number of parts = 9 
 
 
 
 
 
 
Number of parts which are shaded = 8 
So we get 
Fraction of the shaded portion = 8/9 
 
(iv) From the figure we know that 
Total number of parts = 7 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/7 
 
(v) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/9 
 
(vi) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/4 = 1/2 
 
(vii) From the figure we know that 
Total number of parts = 2 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/2 
 
(viii) From the figure we know that 
Total number of parts = 5 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/5 
 
(ix) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/4 
 
2. Write the fraction representing the shaded parts: 
 
 
 
 
 
 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/9 = 1/3 
 
(ii) From the figure we know that 
Total number of parts = 8 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/8 = 1/2 
 
(iii) From the figure we know that 
Total number of parts = 12 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/12 = 1/4 
 
(iv) From the figure we know that 
Total number of parts = 10 
Number of parts which are shaded = 5 
So we get 
Fraction of the shaded portion = 5/10 = 1/2 
 
3. Write the fraction representing the shaded portion: 
Page 4


 
 
 
 
 
 
Exercise 6.1                                                                                 PAGE: 6.4 
1. Write the fraction representing the shaded portion: 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 3 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/3 
 
(ii) From the figure we know that 
Total number of parts = 15 
Number of parts which are shaded = 11 
So we get 
Fraction of the shaded portion = 11/15 
 
(iii) From the figure we know that 
Total number of parts = 9 
 
 
 
 
 
 
Number of parts which are shaded = 8 
So we get 
Fraction of the shaded portion = 8/9 
 
(iv) From the figure we know that 
Total number of parts = 7 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/7 
 
(v) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/9 
 
(vi) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/4 = 1/2 
 
(vii) From the figure we know that 
Total number of parts = 2 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/2 
 
(viii) From the figure we know that 
Total number of parts = 5 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/5 
 
(ix) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/4 
 
2. Write the fraction representing the shaded parts: 
 
 
 
 
 
 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/9 = 1/3 
 
(ii) From the figure we know that 
Total number of parts = 8 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/8 = 1/2 
 
(iii) From the figure we know that 
Total number of parts = 12 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/12 = 1/4 
 
(iv) From the figure we know that 
Total number of parts = 10 
Number of parts which are shaded = 5 
So we get 
Fraction of the shaded portion = 5/10 = 1/2 
 
3. Write the fraction representing the shaded portion: 
 
 
 
 
 
 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 2 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/2  
 
(ii) From the figure we know that 
Total number of parts = 8 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/8  
 
4. Colour the part according to the fraction given: 
 
Solution: 
 
Page 5


 
 
 
 
 
 
Exercise 6.1                                                                                 PAGE: 6.4 
1. Write the fraction representing the shaded portion: 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 3 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/3 
 
(ii) From the figure we know that 
Total number of parts = 15 
Number of parts which are shaded = 11 
So we get 
Fraction of the shaded portion = 11/15 
 
(iii) From the figure we know that 
Total number of parts = 9 
 
 
 
 
 
 
Number of parts which are shaded = 8 
So we get 
Fraction of the shaded portion = 8/9 
 
(iv) From the figure we know that 
Total number of parts = 7 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/7 
 
(v) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/9 
 
(vi) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 2 
So we get 
Fraction of the shaded portion = 2/4 = 1/2 
 
(vii) From the figure we know that 
Total number of parts = 2 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/2 
 
(viii) From the figure we know that 
Total number of parts = 5 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/5 
 
(ix) From the figure we know that 
Total number of parts = 4 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/4 
 
2. Write the fraction representing the shaded parts: 
 
 
 
 
 
 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 9 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/9 = 1/3 
 
(ii) From the figure we know that 
Total number of parts = 8 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/8 = 1/2 
 
(iii) From the figure we know that 
Total number of parts = 12 
Number of parts which are shaded = 3 
So we get 
Fraction of the shaded portion = 3/12 = 1/4 
 
(iv) From the figure we know that 
Total number of parts = 10 
Number of parts which are shaded = 5 
So we get 
Fraction of the shaded portion = 5/10 = 1/2 
 
3. Write the fraction representing the shaded portion: 
 
 
 
 
 
 
 
Solution: 
 
We know that 
Fraction of the shaded portion = Number of shaded parts/ Total number of parts 
 
(i) From the figure we know that 
Total number of parts = 2 
Number of parts which are shaded = 1 
So we get 
Fraction of the shaded portion = 1/2  
 
(ii) From the figure we know that 
Total number of parts = 8 
Number of parts which are shaded = 4 
So we get 
Fraction of the shaded portion = 4/8  
 
4. Colour the part according to the fraction given: 
 
Solution: 
 
 
 
 
 
 
 
 
 
5. What fraction of an hour is 20 minutes? 
Solution: 
 
We know that 
Minutes in an hour = 60 
So 20 minutes of an hour = 20/ 60 = 1/3 
 
Therefore, 1/3 of an hour is 20 minutes. 
 
6. Write the natural numbers from 2 to 12. What fraction of them are prime numbers? 
Solution: 
 
We know that natural numbers from 2 to 12 are 
2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 
The prime numbers from 2 to 12 are 
2, 3, 5, 7 and 11 
So 5 numbers are prime among the 11 numbers 
 
Therefore, 5/11 of them are prime numbers. 
 
7. Write the natural numbers from 102 to 113. What fraction of them are prime numbers? 
Solution: 
 
We know that the natural numbers from 102 to 113 are 
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112 and 113 
The prime numbers from 102 to 113 are 
103, 107, 109 and 113 
So 4 numbers are prime among the 12 numbers 
We get the fraction of prime numbers = 4/ 12 = 1/3 
 
Therefore, 1/3 fraction of them are prime numbers. 
 
8. Mukesh has a box of 24 pencils. He gives half of them to Sunita. How many does Sunita get? How many 
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