**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 **CISCE** 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 :**

**(i) 0.16**

**Solution:** 0.16

= (16 – 1)/90

= (15/90)

= (1/6)

**(ii) 0.143**

**Solution:** 0.143

= (143 – 1)/990

= (142/990)

= (71/459)

**(iii) 0.574**

**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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