# Fractions Class- 7th RS Aggarwal Exe-2B Goyal Brothers ICSE Math Solution

Fractions Class- 7th RS Aggarwal Exe-2B Goyal Brothers ICSE Math Solution . We provide step by step Solutions of lesson-2 Fractions for ICSE Class-7 Foundation RS Aggarwal Mathematics of Goyal Brothers Prakashan . Our Solutions contain all type Questions of Exe-2B to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.

## Fractions Class- 7th RS Aggarwal Exe-2B Goyal Brothers ICSE Math Solution

 Board ICSE Publications Goyal brothers Prakashan Subject Maths Class 7th Chapter-2 Fractions Writer RS Aggrawal Book Name Foundation Topics Solution of Exe-2B Academic Session 2023 – 2024

### Exercise – 2B

Fractions Class- 7th RS Aggarwal Exe-2B Goyal Brothers ICSE Math Solution

#### Que: 1. Find the reciprocal of :

Solution: 13/17

= 1(4/13)

Solution: 3/313

= 313/3

= 104(1/3)

Solution: 217

= 1/217

Solution: 1/1024

= 1024

Solution: 3(1/3)

= 10/3

= 3/10

##### (vi) 11(1/11)

Solution: 11(1/11)

= 122/11

= 11/122

Solution: 1(1/2)

= 3/2

= 2/3

##### (viii) 125(1/8)

Solution: 125(1/8)

= 1008/8

= 8/1008

#### 2. Divide :

##### (i) (1/2) ÷ (1/3)

Solution: (1/2) ÷ (1/3)

= (1/2) × (3/1)

= 3/2

= 1(1/2)

##### (ii) (3/14) ÷ (11/42)

Solution: (3/14) ÷ (11/42)

= (3/14) × (42/11)

= (3/1) × (3/11)

= 9/11

##### (iii) 1 ÷ 6(2/3)

Solution: 1 ÷ 6(2/3)

= 1 ÷ (20/3)

= 1 × (3/20)

= 3/20

##### (iv) 13(1/3) ÷ 10

Solution: 13(1/3) ÷ 10

= (40/3) ÷ 10

= (40/3) × 10

= 4/3 = 1(1/3)

##### (v) 12(1/12) ÷ (5/36)

Solution: 12(1/12) ÷ (5/36)

= (145/12) ÷ (5/36)

= (145/12) × (36/5)

= 29 × 3

= 87

##### (vi) (13/46) ÷ 2(1/11)

Solution: (13/46) ÷ 2(1/11)

= (13/46) ÷ (23/11)

= (13/46) × (11/23)

= 143/1058

##### (vii) (20/31) ÷ 54

Solution: (20/31) ÷ 54

= (20/31) × (1/54)

= (10/31) × (1/7)

= 10/837

##### (viii) 9(4/5) ÷ 3(23/25)

Solution: 9(4/5) ÷ 3(23/25)

= (49/5) ÷ (98/25)

= (1/1) × (5/2)

= 5/2 = 2(1/2)

##### (ix) 32(1/2) ÷ 8(3/4)

Solution: 32(1/2) ÷ 8(3/4)

= (65/2) ÷ (35/4)

= (65/2) × (4/35)

= 26/7 = 3(5/7)

##### (x) 8(1/21) ÷ 1(6/7)

Solution: 8(1/21) ÷ 1(6/7)

= (169/21) ÷ (13/7)

= (169/21) × (7/13)

= (13/3) × (1/1)

= 13/3 = 4(1/3)

##### (xi) 6(3/16) ÷ 3(1/7)

Solution: 6(3/16) ÷ 3(1/7)

= (99/16) ÷ (22/7)

= (99/16) × (7/22)

= 63/32 = 1(31/32)

##### (xii) 3(11/15) ÷ 19(3/5)

Solution: 3(11/15) ÷ 19(3/5)

= (56/15) ÷ (98/5)

= (56/15) ×(5/98)

= 28/147 = 4/21

#### 3. By what fraction should 9/35 be multiplied to get 7/15 ?

Solution: First No. = 9/35

Second No. = (7/5) ÷ (9/35)

= (7/5) × (35/9)

= (7 × 7)/(3 × 9)

= 49/27 = 1(22/27)

#### 4. If the cost of 6(1/4) m of cloth is ₹1421(7/8), Then find the cost of 1 meter of cloth.

Solution: 6(1/4) m of cloth cost = ₹1421(7/8)

1 m of cloth cost = ₹1421(7/8) ÷ 6(1/4)

= ₹(11375/8) ÷ (25/4)

= ₹(11375/8) × (4/25)

= ₹455/2 = ₹227(1/2)

#### 5. How many pieces of length 3(5/7) m each can be cut from a wall paper 52 m long?

Solution: Total wall paper = 52m

length of pieces = 3(5/7) m = 26/7m

Number of pieces = 26/7 ÷ 52

= (52/1) × (7/26)

= 14m

#### 6. A log of wood 6(2/7) m in length, was cut into 11 pieces. What is the length of each pieces?

Solution: L of wood = 6(2/7) m = 44/7 m

Cutting pieces = 11 pieces

L of each pieces = 44/7 ÷ 11

= (44/7) × (1/11)

= 4/7 m

#### 7. A car covers 641(1/4) km in 43(1/8) liters of fuel. How much distance can this car cover in 1 liter of fuel?

Solution: Car covered distance in 43(1/8) = 44/8 liters fuel = 641(1/4) km = 2565/4

Distance covered in 1 liter fuel = ((2565/4) ÷ 43(1/8))km

= 2565/4 ÷ 345/8

= 342/23

= 14(20/23)km

#### 8. The area of a rectangular plot of land is 817(4/5) sq. m. If its breadth is 21(3/4) m, find its length.

Solution: Plot area 817(4/5) sq. m.

Plot breadth = 21(3/4) m

Length of plot = (817(4/5) ÷ 21(3/4)

= (4089/5) ÷ (87/4)

= (4089/5) × (87/4)

= (47 × 4)/(5 × 1)

= 188/5m

= 37(3/5)m

#### 9. The area of a sheet of paper is 623(7/10) sq. cm. If its length is 29(7/10) cm, find its width.

Solution: Area of sheet of paper = 623(7/10) sq. = 6237/10 sq. cm.

Length of sheet of paper = 29(7/10) cm = 297/10 m.

width = ((6237/10) ÷ (297/10))

= (6237/10) × (10/297)

= (21 × 1)/(1 × 1)

= 21 m.

#### 10. A bundle of 500 sheets of paper has a net weight of 2(3/10) kg. Find the weight of 1 sheet of paper.

Solution: Weight of 500 sheet of paper = 2(3/10) = 23/10 kg

Weight of 1 sheet of paper = ((23/10) ÷ 500)

= (23/10) ÷ 500

= (23/10) × (1/500)

= 23/5000

#### 11. A car travels 283(1/2) km in 4(2/3) hours. How far does this car go in 1 hour, travelling at the same speed?

Solution: Distance covered by  car in 4(2/3) hours = 283(1/2) = 567/2km

Distance covered by  car in 1 hours = ((567/2) ÷ (14/3))km

= (567/2) × (3/14)

= (81 × 1)/(1 × 2)

= 81/2

= 40(1/2)

#### 12. The product of two fractions is 8(7/25). If one of them is 3(1/15), find the other.

Solution: Two fractions = 8(7/25) = 207/25

First fractions = 3(1/15) = 46/15

Second number = ((207/25) ÷ (46/15))

= (207/25) × (15/46)

= 621/230

= 27/10

= 2(7/10)

— : end of Fractions Class- 7th RS Aggarwal Exe-2B Goyal Brothers ICSE Math Solution :–

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