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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 :
Swati read,
= 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 :
