## Chapter 7 Fractions Exercise 7.5

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

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 - ðŸ—Œ = 3/10

b) ðŸ—Œ - 3/21 = 5/21

c) ðŸ—Œ - 3/6 = 3/6

d) ðŸ—Œ + 5/27 = 12/27

Answer:

a)

= 7/10 - ðŸ—Œ = 3/10

= 7/10 - 3/10

= 7 - 3/10

= 4/10

b)

= ðŸ—Œ - 3/21 = 5/21

= 5/21 + 3/21

= 5 + 3/21

= 8/21

c)

= ðŸ—Œ - 3/6 = 3/6

= 3/6 + 3/6

= 3 + 3/6

= 6/6

= 1

d)

= ðŸ—Œ + 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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