# Mathsight Class 7 Solutions Chapter 2

## Mathsight Class 7 Solutions Chapter 2 Fractions

Welcome to NCTB Solutions. Here with this post we are going to help 7th class students to solve MathSight Class 7 Mathematics Book, Chapter 2, Fractions. Here students can easily get all the exercise questions solution for Chapter 2, Fractions Exercise 2.1 and 2.2

Fractions Exercise 2.1 Solution :

Question no – (1)

Solution :

Correct option – (c)

= 4 × 1/2

Question no – (2)

Solution :

Multiplication statements are

(a) 1/3 × 3

(b) 2/6 × 4

(c) 4/8 × 2

(d) 5/6 × 3

Question no – (3)

Solution :

(a) 4/9  × 3/2 × = 2/3

(b) 7/17 × 4/7 = 1/2

(c) 18/30 × 5/4 = 3/4

(d) 1/17 × 7 2/7

= 1/17 × 51/7

= 3/7

(e) 7 1/7 × 3 1/4

= 50/7 × 13/4

= 325/14

(f) 4 1/8 × 1/9

= 33/8 × 1/9

= 4/24

(g) 74 × 4 3/17

= 74 × 71 / 17

= 309.05

(h) 4/7 × 2/7 × 14/16 = 1/7

(i) 8/5 × 5/4 × 27/32 = 27/16

(j) 15/18 × 6/9 × 27/21 = 5/7

Question no – (4)

Solution :

(a) 1/2 of 1/85

⇒ 1/2 × 1/5 ×

= 1/10

(b) 1/6 of 1/3

⇒ 1/6 × 1/3

= 1/18

Question no – (5)

Solution :

(a) (5/9 – 12/45) × 5/3

= (25 – 12/45) × 5/3

= 13/45 × 5/3

= 13/27

(b) (15/19 + 12/57) × 34/17

= (45 + 12/57) × 34/17

= 57/57 × 34/17

= 2

(c) (2 – 1/5) × 2/3

= (10 – 5/5) × 2/3

= 5/5 × 2/3

= 2/3

(d) (6 × 1/4) + 1/2 × 1/2

= 2/3 + 1/4

= 6 + 1 /4

= 7/4

Question no – (6)

Solution :

Area = 4 1/5 × 3 2/3

= 21/5 × 11/3

= 77/5 m

Question no – (7)

Solution :

Traveled by car = 18 km .

∴ Traveled by train,

= 48 – 18

= 30 km .

Fraction of car,

= 18/48

= 3/8 km

Fraction of car,

= 30/48

= 5/8 km

Question no – (8)

Solution :

Average lifespan,

= 4/5 × 15

= 12 year .

Question no – (9)

Solution :

Two mixed fractions are,

= 5.5 × 5.7

= 31.35

Question no – (10)

Solution :

Let, total fish = z

Starfish = z/4

Question no – (11)

Solution :

Sunitha walks

= 4 1/2

= 9/2 × 18

= 81 km

Ramesh walks,

= 3 1/3

= 10/3 × 18

= 60 km

∴ Sunitha walks more,

= (81 – 60)

= 21 km

Question no – (12)

Solution :

1 5/6  × 5/6

= 11/6 ×  5/6

= 55/36

=1.56

1 1/5 × 5/6

= 6/5 × 5/6

= 1

Fractions Exercise 2.2 Solution :

Question no – (1)

Solution :

Correct option – (a)

= 16

Question no – (2)

Solution :

(a) reciprocal

(b) not reciprocal

(c) not reciprocal

(d) reciprocal

Question no – (3)

Solution :

(a) >

(b) =

(c) >

(d) >

Question no – (4)

Solution :

(a) 3 × 3 = 9

(b) 3 × 4 = 12

(c) 2 × 3 = 6

Question no – (5)

Solution :

(a) 2/11 / 3

= 2 × 1 / 11 × 3

= 2 / 33

(b) 18 / 3/4

= 18 × 4/3

= 24

(c) 4  1/5  / 14 /25

= 21/5 × 25/14

= 15/2

(d) 4  7/9 / 4  7/9

= 1

(e) (6 5/7) / (3 5/14)

= 47/7 / 47/14

= 47/7 × 14/47

= 2

(f) 3 4/5 / 2 3/8

= 19/5/19/8

= 19/5 × 8/10

= 8/5

(g) 3 5/7 / 4/7

= 26/7 / 4/7

= 26/7 × 7/4

= 13/2

(h) 3 9/11 / 4 7/9

= 42/11 / 43/9

= 42/11 × 9/43

= 378/473

Question no – (6)

Solution :

(a) (1/2 + 1/3) ÷ 5

= (3 + 2/6) ÷ 5

= 5/6 × 1/5

= 1/6

(b) 7 ÷ (1 5/7 + 2/7)

= 7 ÷ (12/7 + 2/7)

= 7 ÷ 14/7

= 7 × 7/14

= 7/2

(c) (3/4 + 1/8) × 1/3

= (6 + 1 ÷ 8) × 1/3

= 7/8 × 1/3

= 7/24

(d) (3/5 + 2/5 + 1/8) × 8

= (24 + 16 + 5/40) × 8

= 45/40 × 8

= 9

Question no – (7)

Solution :

4 3/4 ÷ 1 2/3

= 19/4 ÷ 5/3

= 19 ÷ 4 × 3/5

= 57/20

Question no – (8)

Solution :

Given, 1 ÷ 9 2/3

= 1 ÷ 29/3

= 1 × 3/29

= 3/29

Question no – (9)

Solution :

Friends ate,

= 3 × 3/7

= 9/7

∴ Number of friends,

= 9/7 ÷ 3/7

= 9/7 × 7/3

= 3

Thus, 3 friend are ate the pizza.

Question no – (10)

Solution :

Distance cover in 1 hr,

= (3 3/4) ÷ (2 1/2)

= 15/4 ÷ 5/2

= 15/4 × 2/8

= 3/2 km

∴ 3/2 km walking will benefited for health.

Question no – (11)

Solution :

= 360 × 1/12

= 30 pages.

Hence, Swati read 30 pages in a day.

Question no – (12)

Solution :

Quantity of mango

= 438 ÷ 48 2/3

= 438 ÷ 146/3

= 438 × 3/146

= 9 kg.

Therefore, 9 kg of mangoes can be purchased.

Previous Chapter Solution :

Updated: May 27, 2023 — 5:10 am