Courses

# Fractions - Exercise 6.1 Class 6 Notes | EduRev

## 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
```
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

## Mathematics (Maths) Class 6

191 videos|224 docs|43 tests

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;