# Decimals Class- 7th RS Aggarwal Exe-3E Goyal Brothers ICSE Math Solution

Decimals Class- 7th RS Aggarwal Exe-3E Goyal Brothers ICSE Math Solution . We provide step by step Solutions of lesson-3 Decimals for ICSE Class-7 Foundation RS Aggarwal Mathematics of Goyal Brothers Prakashan . Our Solutions contain all type Questions of Exe-3E to develop skill and confidence. Visit official Website for detail information about ICSE Board Class-7 Mathematics.

## Decimals Class- 7th RS Aggarwal Exe-3E Goyal Brothers ICSE Math Solution

 Board ICSE Publications Goyal brothers Prakashan Subject Maths Class 7th Chapter-3 Decimals Writer RS Aggrawal Book Name Foundation Topics Solution of Exe-3E Academic Session 2023 – 2024

### Exercise – 3E

Decimals Class- 7th RS Aggarwal Exe-3E Goyal Brothers ICSE Math Solution

#### 1. Express each of the following as a recurring decimal :

##### (i) (20/3)

Solution: (20/3)

on division we get

= 6.6666……

= 6.6

##### (ii) (3/11)

Solution: (3/11)

on division we get

= 0.272727……..

= 0.27

##### (iii) (5/6)

Solution: (5/6)

on division we get

= 0.8333……

= 0.83

##### (iv) (17/90)

Solution: (17/90)

on division we get

= 0.1888……

= 0.18

##### (v) (1/37)

Solution: (1/37)

on division we get

= 0.027027…….

= 0.027

##### (vi) (22/7)

Solution: (22/7)

on division we get

= 3.1428571…….

= 3.1428571

##### (vii) (2/13)

Solution: (2/13)

on division we get

= 0.153846…….

= 0.153846

#### 2. Convert each of the following into a vulgar fraction :

##### (i) 0.6

Solution: 0.6

Let x = 0.6

x = 0.666……….(1)

Multiply both sides by 10

10x = 6.666………(2)

Subtracting (1) from (2)

⇒ 9x = 6.000

⇒ 9x = 6

⇒ x = (6/9)

⇒ x = (2/3)

Fraction = (2/3)

##### (ii) 0.8

Solution: 0.8

Let x = 0.8

x = 0.888……….(1)

Multiply both sides by 10

10x = 8.888………(2)

Subtracting (1) from (2)

⇒ 9x = 8.000

⇒ 9x = 8

⇒ x = (8/9)

Fraction = (8/9)

##### (iii) 0.34

Solution: 0.34

Let x = 0.34

x = 0.343434……….(1)

Multiply both sides by 100

100x = 34.343434………(2)

Subtracting (1) from (2)

⇒ 99x = 34

⇒ x = (34/99)

Fraction = (34/99)

##### (iv) 2.13

Solution: 2.13

Let x = 2.13

x = 2.131313……….(1)

Multiply both sides by 100

100x = 213.131313……..(2)

Subtracting (1) from (2)

⇒ 99x = 213

⇒ x = (213/99)

Fraction = 2(13/99)

##### (v) 1.243

Solution: 1.243

Let x = 1.243

x = 1.243243243……….(1)

Multiply both sides by 1000

1000x = 1243.243243……..(2)

Subtracting (1) from (2)

⇒ 999x = 1243

⇒ x = (1243/999)

Fraction = 1(243/999)

#### 3. Convert each of the following into a vulgar fraction :

Solution: 0.16

= (16 – 1)/90

= (15/90)

= (1/6)

Solution: 0.143

= (143 – 1)/990

= (142/990)

= (71/459)

Solution: 0.574

= (574 – 57)/900

= (517/900)

##### (iv) 0.1234

Solution: 0.1234

= (1234 – 12)/9990

= (1222/9990)

= (611/4995)

— : end of Decimals Class- 7th RS Aggarwal Exe-3E Goyal Brothers ICSE Math Solution:–

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