NCERT Solutions Class 6th Maths Chapter – 7 Fractions Exercise – 7.2

Question 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

Solution – 

We have divided the number line from 0 to 1 into four equal parts.
C represents 2/4 i,e., 12
B represents 1/4
D represents 3/4
and E represents 4/4, i.e., 1.

We have divided the number line from 0 to 1 into eight equal parts.
B represents 1/8
C represents 2/8
D represents 3/8
and H represents 7/8

From the above number line, we have
C represents 25
D represents 35
E represents 45
and I represent 85

Question 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

Solution – 

Question 3. Express the following as improper fractions-

(a) 7 3/4
(b) 5 6/7
(c) 2 5/6
(d) 10 3/5
(e) 9 3/7
(f) 8 4/9

Solution –

(a) 7 3/4 = 7 × 4 + 3/4 = 31/4 ∴ 7 3/4 = 31/4

(b) 5 6/7 = 5 × 7 + 6/7 = 41/7 ∴ 5 6/7 = 41/7

(c) 2 5/6 = 2 × 6 + 5/6 = 17/6 ∴ 2 5/6 = 17/6

(d) 10 3/5 = 10 × 5 + 3/5 = 53/5 ∴ 10 3/5 = 53/5

(e) 9 3/7 = 9 × 7 + 3/7 = 66/7 ∴ 9 3/7 = 66/7

(f) 8 4/9 = 8 × 9 + 4/9 = 76/9 ∴ 8 4/9 = 76/6