Selina Solutions Concise Mathematics Class 6 Chapter 14: Fractions Exercise 14(C)

Selina Solutions Concise Mathematics Class 6 Chapter 14: Fractions Exercise 14(C) has 100% answers based on addition and subtraction of fractions, with illustrations. Solutions are designed by expert teachers in an interactive manner, helping students to clear their doubts about the concept quickly. Following these solutions, students surely enhance their problem solving abilities within a short period. To score more marks in exams, download Selina Solutions Concise Mathematics Class 6 Chapter 14 Fractions Exercise 14(C), PDF links available below.

Selina Solutions Concise Mathematics Class 6 Chapter 14: Fractions Exercise 14(C) Download PDF

selina solution concise maths class 6 chapter 14 ex c 1
selina solution concise maths class 6 chapter 14 ex c 2
selina solution concise maths class 6 chapter 14 ex c 3
selina solution concise maths class 6 chapter 14 ex c 4

 

Access other exercises of Selina Solutions Concise Mathematics Class 6 Chapter 14: Fractions

Exercise 14(A) Solutions

Exercise 14(B) Solutions

Exercise 14(D) Solutions

Exercise 14(E) Solutions

Access Selina Solutions Concise Mathematics Class 6 Chapter 14: Fractions Exercise 14(C)

Exercise 14(C)

1. Add the following fractions:

(i) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 30 and 3 / 8

(ii) 2 / 5, Selina Solutions Concise Mathematics Class 6 Chapter 14 - 31 and 7 / 10

(iii) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 32, Selina Solutions Concise Mathematics Class 6 Chapter 14 - 33 and Selina Solutions Concise Mathematics Class 6 Chapter 14 - 34

(iv) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 35, Selina Solutions Concise Mathematics Class 6 Chapter 14 - 36, and Selina Solutions Concise Mathematics Class 6 Chapter 14 - 37

(v) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 38, 11 / 18 and Selina Solutions Concise Mathematics Class 6 Chapter 14 - 39

Solution:

(i)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 40and 3 / 8

The given fractions can be added as follows

7 / 4 + 3 / 8 = (7 × 2) / (4 × 2) + 3 / 8

= 14 / 8 + 3 / 8

= 17 / 8

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 41

Hence,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 42is the addition of given fractions

(ii) 2 / 5,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 43and 7 / 10

The given fractions can be added as follows

2 / 5 + 33 / 15 + 7 / 10 = (2 × 6) / (5 × 6) + (33 × 2) / (15 × 2) + (7 × 3) / (10 × 3)

= 12 / 30 + 66 / 30 + 21 / 30

= 99 / 30

= 33 / 10

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 44

Hence,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 45is the addition of given fractions

(iii)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 46,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 47and
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 48

The given fractions can be added as follows

15 / 8 + 3 / 2 + 7 / 4 = (15 × 1) / (8 × 1) + (3 × 4) / (2 × 4) + (7 × 2) / (4 × 2)

= 15 / 8 + 12 / 8 + 14 / 8

= 41 / 8

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 49

Hence,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 50is the addition of the given fractions

(iv)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 51,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 52and
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 53

The given fractions can be added as follows

15 / 4 + 13 / 6 + 13 / 8 = (15 × 6) / (4 × 6) + (13 × 4) / (6 × 4) + (13 × 3) / (8 × 3)

= 90 / 24 + 52 / 24 + 39 / 24

= 181 / 24

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 54

Hence,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 55is the addition of given fractions

(v)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 56, 11 / 18 and
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 57

The given fractions can be added as follows

26 / 9 + 11 / 18 + 23 / 6 = (26 × 2) / (9 × 2) + 11 / 18 + (23 × 3) / (6 × 3)

= 52 / 18 + 11 / 18 + 69 / 18

= 132 / 18

= 22 / 3

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 58

Hence,
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 59is the addition of given fractions

2. Simplify:

(i) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 60 – 13 / 16

(ii) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 61Selina Solutions Concise Mathematics Class 6 Chapter 14 - 62

(iii) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 63 + 3 / 14 – 13 / 21

(iv) Selina Solutions Concise Mathematics Class 6 Chapter 14 - 64 – 1 / 6 – Selina Solutions Concise Mathematics Class 6 Chapter 14 - 65

(v) 6 + 3 / 10 – Selina Solutions Concise Mathematics Class 6 Chapter 14 - 66

Solution:

(i)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 67– 13 / 16

The given expression can be simplified as below

23 / 12 – 13 / 16 = (23 × 4) / (12 × 4) – (13 × 3) / (16 × 3)

= (92 – 39) / 48

= 53 / 48

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 68

Hence, simplified form of the given expression is
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 69

(ii)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 70
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 71

The given expression can be simplified as below

11 / 4 – 11 / 6 = (11 × 6) / (4 × 6) – (11 × 4) / (6 × 4)

= (66 – 44) / 24

= 22 / 24

= 11 / 12

Hence, simplified form of the given expression is 11 / 12

(iii)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 72+ 3 / 14 – 13 / 21

The given expression can be simplified as below

19 / 7 + 3 / 14 – 13 / 21 = (19 × 6) / (7 × 6) + (3 × 3) / (14 × 3) – (13 × 2) / (21 × 2)

= 114 / 42 + 9 / 42 – 26 / 42

= (114 + 9 – 26) / 42

= 97 / 42

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 73

Hence, simplified form of the given expression is
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 74

(iv)
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 75– 1 / 6 –
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 76

The given expression can be simplified as below

23 / 6 – 1 / 6 – 13 / 12 = (23 × 2) / (6 × 2) – (1 × 2) / (6 × 2) – 13 / 12

= 46 / 12 – 2 / 12 – 13 / 12

= (46 – 2 – 13) / 12

= 31 / 12

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 77

Hence, simplified form of the given expression is
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 78

(v) 6 + 3 / 10 –
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 79

The given expression can be simplified as below

6 / 1 + 3 / 10 – 23 / 15 = (6 × 30) / (1 × 30) + (3 × 3) / (10 × 3) – (23 × 2) / (15 × 2)

= 180 / 30 + 9 / 30 – 46 / 30

= (180 + 9 – 46) / 30

= 143 / 30

=
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 80

Hence, simplified form of the given expression is
Selina Solutions Concise Mathematics Class 6 Chapter 14 - 81

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