RD Sharma Solutions: Fractions (Exercise 6.1)

# Fractions (Exercise 6.1) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

 Download, print and study this document offline
Please wait while the PDF view is loading
``` 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
```

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

## FAQs on Fractions (Exercise 6.1) RD Sharma Solutions - Mathematics (Maths) Class 6

 1. What are fractions?
Ans. Fractions are numbers that represent a part of a whole. They consist of a numerator and a denominator, where the numerator represents the part and the denominator represents the whole.
 2. How do you add fractions with the same denominator?
Ans. When adding fractions with the same denominator, we simply add the numerators together and keep the denominator the same. For example, if we have 1/4 + 3/4, the sum would be 4/4, which can be simplified to 1.
 3. How do you subtract fractions with different denominators?
Ans. To subtract fractions with different denominators, we need to find a common denominator. We can do this by finding the least common multiple (LCM) of the two denominators. Once we have a common denominator, we subtract the numerators and keep the denominator the same. For example, if we have 1/3 - 1/6, the LCM of 3 and 6 is 6. So the subtraction would be (2/6) - (1/6) = 1/6.
 4. How do you multiply fractions?
Ans. To multiply fractions, we simply multiply the numerators together and the denominators together. For example, if we have 2/3 * 4/5, the product would be (2*4)/(3*5) = 8/15.
 5. How do you divide fractions?
Ans. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. For example, if we have 2/3 ÷ 4/5, we would multiply by the reciprocal, which is 5/4. So the division would be (2/3) * (5/4) = 10/12, which can be simplified to 5/6.

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

### Up next

 Explore Courses for Class 6 exam

### Top Courses for Class 6

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;