FRACTIONS
EXERCISE – 7.5
EX 7.5 QUESTION 1.
Write these fractions appropriately as additions or subtractions.
EX 7.5 QUESTION 2.
Solve:
(a) 1 / 18 + 1 / 18
(b) 8 / 15 + 3 / 15
(c) 7 / 7 – 5 / 7
(d) 1 / 22 + 21 / 22
(e) 12 / 15 – 7 / 15
(f) 5 / 8 + 3 / 8
(g) 1 – 2 / 3 (1 = 3 / 3)
(h) 1 / 4 + 0 / 4
(i) 3 – 12 / 5
Solution:
(a) 1 / 18 + 1 / 18
= (1 + 1) / 18
= 2 / 18
= 1 / 9
(b) 8 / 15 + 3 / 15
= (8 + 3) / 15
= 11 / 15
(c) 7 / 7 – 5 / 7
= (7 – 5) / 7
= 2 / 7
(d) 1 / 22 + 21 / 22
= (1 + 21) / 22
= 22 / 22
= 1
(e) 12 /15 – 7 / 15
= (12 – 7) / 15
= 5 / 15
= 1 / 3
(f) 5 / 8 + 3 / 8
= (5 + 3) / 8
= 8 / 8
= 1
(g) 1 – 2 / 3
= 3 / 3 – 2 / 3
= (3 – 2) / 3
= 1 / 3
(h) 1 / 4 + 0
= 1/ 4
(i) 3 – 12 / 5
= 15 / 5 – 12/ 5
= (15 – 12) / 5
= 3 / 5
EX 7.5 QUESTION 3.
Shubham painted 2 / 3 of the wall space in his room. His sister Madhavi helped and painted 1 / 3 of the wall space. How much did they paint together?
Solution:
Wall painted by Shubham = 2 / 3
Wall painted by Madhavi = 1 / 3
Total painted by both = (2 / 3 + 1 / 3)
= (2 + 1) / 3
= 3 / 3
= 1
∴ Wall painted by Shubham and Madhavi together = 1.
EX 7.5 QUESTION 4.
Fill in the missing fractions.
(a) 7 / 10 – ▯ = 3 / 10
(b) ▯ – 3 / 21 = 5 / 21
(c) ▯ – 3 / 6 = 3 / 6
(d) ▯ + 5 / 27 = 12 / 27
Solutions:
(a) 7 / 10 – ▯ = 3 / 10
▯ = 7 / 10 – 3 / 10
▯ = (7 – 3) / 10
▯ = 4 / 10
▯ = 2 / 5
(b) ▯ – 3 / 21 = 5 / 21
▯ = 5 / 21 + 3 / 21
▯ = (5 + 3) / 21
▯ = 8 / 21
(c) ▯ – 3 / 6 = 3 / 6
▯ = 3 / 6 + 3 / 6
▯ = (3 + 3) / 6
▯ = 6 / 6
▯ = 1
(d) ▯ + 5 / 27 = 12 / 27
▯ = 12 / 27 – 5 /27
▯ = (12 – 5) / 27
▯ = 7 /27
EX 7.5 QUESTION 5.
Javed was given 5 / 7 of a basket of oranges. What fraction of oranges was left in the basket?
Solutions:
Fraction of oranges = 5 / 7
Fraction of oranges left in the basket = 1 – 5 / 7
= 7 / 7 – 5 / 7
= (7 – 5) / 7
= 2 / 7
