The method of representing fractions on a number line, proper fractions, mixed and improper fractions are the concepts covered in NCERT Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.2. To obtain better conceptual knowledge, students can solve problems from the NCERT textbook, using the PDF as vital study material. The logic and shortcuts used in solving problems are highlighted in these NCERT Solutions provided by BYJU’S to make it easy during the exam preparation.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.2
Access NCERT Solutions for Class 6 Chapter 7: Fractions Exercise 7.2
1. Draw number lines and locate the points on them:
(a) 1 / 2, 1 / 4, 3 / 4, 4 / 4
(b) 1 / 8, 2 / 8, 3 / 8, 7 / 8
(c) 2 / 5, 3 / 5, 8 / 5, 4 / 5
Solutions:
(a) 1 / 2, 1 / 4, 3 / 4, 4 / 4
Here, divide the number line from 0 to 1 into four equal parts
C = 2 / 4 = 1 / 2
B = 1 / 4
D = 3 / 4 and
E = 4 / 4 = 1
(b) 1 / 8, 2 / 8, 3 / 8, 7 / 8
Divide the number line from 0 to 1 into eight equal parts
B = 1 / 8
C = 2 / 8
D = 3 / 8
H = 7 / 8
(c) 2 / 5, 3 / 5, 8 / 5, 4 / 5
From the given number line, we have
C = 2 / 5
D = 3 / 5
E = 4 / 5
I = 8 / 5
2. Express the following as mixed fractions:
(a) 20 / 3
(b) 11 / 5
(c) 17 / 7
(d) 28 / 5
(e) 19 / 6
(f) 35 / 9
Solutions:
(a) 20 / 3
∴ 20 / 3 =
(b) 11 / 5
∴ 11 / 5 =
(c) 17 / 7
∴ 17 / 7 =
(d) 28 / 5
∴ 28 / 5 =
(e) 19 / 6
∴ 19 / 6 =
(f) 35 / 9
∴ 35 / 9 =
3. Express the following as improper fractions:
(a)
(b)
(c)
(d)
(e)
(f)
Solutions:
(a) (7 × 4 + 3) / 4 = 31 / 4
∴ The improper form is 31 / 4
(b) (5 × 7 + 6) / 7 = 41 / 7
∴ The improper form is 41 / 7
(c) (2 × 6 + 5) / 6 = 17 / 6
∴ The improper form is 17 / 6
(d) (10 × 5 + 3) / 5 = 53 / 5
∴ The improper form is 53 / 5
(e) (9 × 7 + 3) / 7 = 66 / 7
∴ The improper form is 66 / 7
(f) (8 × 9 + 4) / 9 = 76 / 9
∴ The improper form is 76 / 9
Also, explore –
NCERT Solutions for Class 6 Maths Chapter 7
NCERT Solutions for Class 6 Maths
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