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Frank Learning Maths Class 4 Solutions Chapter 8 Fractions
Welcome to NCTB Solutions. Here with this post we are going to help 4th class students for the Solutions of Frank Learning Maths Class 4 Math Book, Chapter 8, Fractions. Here students can easily find step by step solutions of all the problems for Fractions, Exercise 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8 and 8.9 Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily.
Fractions Exercise 8.1 Solution :
Question no – (3)
Solution :
Fraction = Numerator/Denominator
(a) 3/5
(b) 5/11
(c) 4/7
(d) 5/5 × 2 = 5/10
Question no – (4)
Solution :
(a) 1/3 is written as one-third.
(b) 1/4 is called one fourth or Quarter.
(c) 1/2 is called Half.
(d) One-fifth is also written as 1/5.
(e) Three (3) one-thirds make a whole.
(f) Four (4) one-fourths make a whole.
Fractions Exercise 8.2 Solution :
Question no – (1)
Solution :
Total no of rocks,
= 2 + 2 = 4
∴ Fraction of the rock of green,
= 2/4
= 1/2
Question no – (2)
Solution :
Fraction of the liquid of milk –
= 12/19
As total cups of liquid
= (12 + 7)
= 19
Question no – (3)
Solution :
Number of pencils
= 8
Number of pencils not sharpened
= (8 – 2)
= 6
∴ Fraction of not sharpened pencils
= 6/8
Question no – (4)
Solution :
Total Number of fishes= 6
∴ Fraction of not goldfish
= 3/6
Question no – (5)
Solution :
Total Number of poems = 6
Number of poems not about animals
= (6 – 1)
= 5
∴ Fractions of the not animal’s poem
= 5/6
Fractions Exercise 8.3 Solution :
Question no – (1)
Solution :
(a) Given, 1/5
= 2/10 = 3/15 = 4/20 = 5/25
(b) Given, 3/7
= 6/14 = 9/21 = 12/28
(c) Given, 5/6
= 10/12 = 15/18 = 20/24
(d) Given, 7/10
= 14/20 = 21/30 = 28/24
(e) Given, 12/17
= 24/34 = 36/51 = 48/68
(f) Given, 27/31
= 54/62 = 81/93 = 108/124
(g) Given, 39/50
= 78/100 = 117/150 =156/200
(h) Given, 40/60
= 4/6 = 20/30 = 2/3
(i) Given, 108/126
= 54/63 = 6/7
Question no – (2)
Solution :
(a) Given, 3/4, 6/12
3 × 12 ≠ 4 × 6
∴ 36 ≠ 24 Not equivalent
(b) Given, 2/3, 8/12
2 × 12 = 3 × 8
∴ 24 = 24 equivalent
(c) Given, 8/10, 40/50
8 × 50 = 10 × 40
∴ 400 = 400 equivalent
(d) Given, 2/3, 42/54
2 × 54 ≠ 3 × 42
∴ 108 ≠ 126 Not equivalent
(e) Given, 5/8, 60/96
5 × 96 = 8 × 60
∴ 480 = 480 equivalent
Question no – (3)
Solution :
(a) 1/6 = 7/6 × 7 = 42
(b) 5/6 = 5 × 12 = 60/72
(c) 13/15 = 26/15 × 2 = 30
(d) 10/50 = 10 × 10 = 100/500
(e) 15/21 = 15/3 = 5/7
(f) 15/20 = 3/4
(g) 3/8 = 9/8 × 3 = 24
(h) 36/66 = 6/11
Fractions Exercise 8.4 Solution :
Question no – (1)
Solution :
(a) A fraction that has a value less than 1 whole is called a proper fraction.
(b) Fractions having a value greater than 1 whole are called improper fractions.
(c) Like fractions have the same denominator.
Question no – (2)
Solution :
(a) 3/5, 4/5 like fraction [as same denominator]
(b) 1/8, 1/10 unlike fraction
(c) 5/12, 6/13 unlike fraction
(d) 5/10, 5/15 unlike fraction
Question no – (3)
Solution :
The improper fractions are = 9/7, 15/7, 9/5
As they have a value greater than 1 whole.
Question no – (4)
Solution :
The proper fractions are,
1/4, 8/27, 5/16
Since, they have a value less than 1 whole.
Fractions Exercise 8.5 Solution :
Question no – (1)
Solution :
(a) 3/9 < 5/9
(b) 2/5 < 3/5
(c) 1/2 > 1/7
(d) 1/11 < 3/11
(e) 5/6 > 2/6
(f) 1/6 > 1/8
(g) 3/9 > 1/9
(h) 4/5 > 2/5
(i) 1/9 < 7/9
(j) 5/7 > 5/9
Question no – (2)
Solution :
(a) 5/12 < 6/12 < 8/12
(b) 1/5 < 1/4 < 1/3 < 1/2
(c) 1/5 < 3/5 < 4/5 < 6/5
(d) 2/9 < 2/8 < 2/7 < 2/5
(e) 1/8 < 3/8 < 5/8 < 7/8
(f) 1/10 < 1/6 < 1/5 < 1/2
Question no – (3)
Solution :
(a) 7/12 > 6/12 > 5/12
(b) 6/9 > 4/9 > 3/9 > 2/9
(c) 1/5 > 1/6 > 1/7 > 1/8
(d) 2/3 > 2/5 > 2/7 > 2/9
(e) 6/7 > 4/7 > 3/7 > 2/7
(f) 7/9 > 5/9 > 2/9 > 1/9
Fractions Exercise 8.6 Solution :
Question no – (1)
Solution :
(a) 5/7 > 2/5
(b) 1 > 2/5
(c) 1/2 > 1/3
(d) 4/5 > 2/3
(e) 3/7 > 4/11
(f) 7/12 > 4/9
(g) 11/15 > 5/12
(h) 3/12 < 1/2
Question no – (3)
Solution :
(a) 2/5, 3/10, 18/20
5 × 2 × 2 = 20
2/5 × 20 = 8
3/10 × 20 = 6
18/20 × 20 = 18
3/10 < 2/5 < 18/20
(b) 1/2, 1/5, 1/7
2 × 5 × 7 = 70
1/2 × 70 = 35
1/5 × 70 = 14
1/7 × 70 = 10
1/7 < 1/5 < 1/2
(c) 1/7, 1/11, 1/8
7 × 11 × 8 = 616
1/7 × 616 = 88
1/11 × 616 = 56
1/8 × 616 = 77
1/11 < 1/8 < 1/7
(d) 2/3, 2/7, 3/5
3 × 7 × 5 = 105
2/3 × 105 = 70
2/7 × 105 = 30
3/5 × 105 = 63
2/7 < 3/5 < 2/3
(e) 1/2, 1/32, 4/32
1/32 < 4/32 < 1/2
(f) 6/7, 3/5, 5/7
7 × 5 = 35
6/7 × 35 = 30
3/5 × 35 = 21
5/7 × 35 = 25
So, 3/5 < 5/7 < 6/7
(g) 1/8, 3/5, 5/7
4 × 2 × 5 = 40
1/8 × 40 = 5
2/5 × 40 = 16
1/4 × 40 = 10
1/8 < 1/4 < 2/5
Question no – (4)
Solution :
(a) 2/3, 7/9, 3/7
3 × 3 × 7 = 63
2/3 × 63 = 42
7/9 × 63 = 49
3/7 × 63 = 27
So, 7/9 > 2/3 > 3/7
(b) 2/3, 5/7, 2/5
3 × 7 × 5 = 105
2/3 × 105 = 70
5/7 × 105 = 75
2/5 × 105 = 42
5/7 > 2/3 > 2/5
(c) 3/4, 1/2, 4/5
2 × 2 × 5 = 20
3/4 × 20 = 15
1/2 × 20 = 10
4/5 × 20 = 16
So, 4/5 > 3/4 > 1/2
(d) 1/3, 1/10, 1/5
5 × 3 × 2 = 30
1/3 × 30 = 10
1/10 × 30 = 3
1/5 × 30 = 6
So, 1/3 > 1/5 > 1/10
(e) 1/6, 1/8, 1/9
1/6 > 1/8 > 1/9
(f) 1/7, 2/21, 2/3
1/7 × 21 = 3
2/21 × 21 = 2
2/3 × 21 = 14
So, 2/3 > 1/7 > 2/21
(g) 2/3, 4/5, 7/9
3 × 5 × 3 = 45
2/3 × 45 = 30
4/5 × 45 = 36
7/9 × 45 = 35
So, 4/5 > 7/9 > 2/3
Fractions Exercise 8.7 Solution :
Question no – (1)
Solution :
(a) 1 5/7
= 1 × 7 + 5/7
= 12/7
(b) 5 1/4
= 21/4
(c) 4 4/11
= 49/11
(d) 3 7/10
= 37/10
(e) 2 3/7
= 17/7
(f) 1 1/7
= 8/7
(g) 5 4/8
= 44/8
(h) 8 13/32
= 269/32
Question no – (2)
Solution :
(a) 13/7
(b) 29/8
(c) 31/7
(d) 45/11
(e) 96/13
(f) 100/23
(g) 153/23
(h) 335/27
Fractions Exercise 8.8 Solution :
Question no – (1)
Solution :
(a) 2 5/9 > 1 5/10
(b) 20/25 < 1 3/25
(c) 3/8 < 2 11/16
(d) 4 3/5 > 4 2/6
Question no – (2)
Solution :
(a) 1 1/5 < 2 2/3
(b) 5 1/3 > 2 5/6
(c) 7 4/15 < 8 1/4
(d) 8 1/6 > 5 1/5
(e) 1 8/45 < 2 8/15
(f) 11 5/6 > 7 2/6
Fractions Exercise 8.9 Solution :
Question no – (1)
Solution :
(a) 3/8 + 5/8
= 3 + 5/8
= 8/8
(b) 3/7 + 1/7
= 3 + 1/7
= 4/7
(c) 7/11 + 2/5
= 35 + 22/55
= 57/55
(d) 5/9 + 2/7
= 35 + 18/63
= 53/63
(e) 1 1/2 + 2
= 3/2 + 2
= 3 + 4/2
= 7/2
(f) 9/4 + 7/3
= 27 + 28/12
= 55/12
Question no – (2)
Solution :
(a) 8/9 – 7/9
= 8 – 7/9
= 1/9
(b) 5/4 – 3/4
= 5 – 3/4
= 2/4
(c) 3 – 2 1/2
= 3 – 5/2
= 6 – 5/2
= 1/2
(d) 13/4 – 9/5
= 65 – 36/20
= 29/20
(e) 3/5 – 1/2
= 6 – 5/10
= 1/10
(f) 5/2 – 11/9
= 45 – 22/18
= 23/18
Question no – (3)
Solution :
(a) Distance by bus = 3/5
Distance by auto = 1/4
Total Distance covered
3/5 + 1/4
= 12 + 5/20
= 17/20
(b) Work on Monday 3/7
Work on Tuesday 2/5
Total work = 3/7 + 2/5
= 15 + 14/35
= 29/35
(c) Suchi’s bookshelf = 3/4
Shobit’s bookshelf = 3/5
3/4 – 3/5
= 15 – 12/20
= 3/20
So, Suchi’s bookshelf is more full by 3/20
(d) Sheeba had 2 3/4 = 11/4 m
She cut = 3/4 m
So, 11/4 – 3/4
= 11 – 3/4
= 8/4
= 2
∴ 2 m cloth is left.
Next Chapter Solution :
👉 Chapter 9 👈
