NCERT Class 6 Maths Chapter 7 Fractions Exercise 7.5

Chapter 7 Fractions Exercise 7.5

Question 1: Write these fractions appropriately as additions or subtractions:

Question 1

Answer:
a) +
b) -
c) +

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
Answer:

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 + 0/4
= 1 + 0/4
= 1/4

i)
= 3 - 12/5
= 3/1 - 12/5
LCM of 1, 5 = 5
= 3/1 × 5/5 = 15/5
= 12/5 × 1/1 = 12/5
= 15/5 - 12/5
= 15 - 12/5
= 3/5

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?
Answer:

Fraction of wall painted by Shubham = 2/3
Fraction of wall painting by Madhavi = 1/3
Fraction of wall they completed altogether = ?

= 1/3 + 2/3
= 1 + 2/3
= 3/3
= 1

Therefore, Shubham and his sister Madhavi altogether painted the complete wall.

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
Answer:

a)
= 7/10 - 🗌 = 3/10
= 7/10 - 3/10
= 7 - 3/10
= 4/10

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
= 17/27

Question 5: Javed was given 5/7 of a basket of oranges. What fraction of oranges was left in the basket?
Answer:

Total oranges (in fraction) = 7/7
Fraction of oranges given to Javed = 5/7
Fraction of oranges left in the basket = ?

= 7/7 - 5/7
= 7 - 5/7
= 2/7

Therefore, 2/7 of the oranges is left in the basket.

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