**EXERCISE 7.5**

**1). Write these fraction appropriate as addition or subtraction:**

a) 1/5 + 2/5 = 3/5

b) 5/5 − 3/5 = 2/5

c) 2/6 + 3/6 = 5/6

**2). Complete the statement given in each figure**

a) 3/5 + 3/5 = 6/5

b) 8/8 + 8/8 + 2/8 = 18/8 = 9/4

**3). Solve:**

**a) 1/12 + 1/12**

**Ans. **

= (1+1)/12

= 2/12

= 1/6

**b) 8/15 + 3/(15 ) **

**Ans. **

= (8+3)/15

= 11 / 15

**c) 7/7 − 5/7 **

**Ans. **

= 7/7− 5/7

= 2/7

**d) 1/22 + 21/22 **

**Ans. **

= (1+22)/22

= 22/22

= 1

**e) 5/9 + 6/9**

**Ans. **

= (5+6)/9

= 11/9

**f) 12/15 − 7/15**

**Ans. **

= (12−7)/15

= 15/15

=1

**g) 5/8 + 3/8**

**Ans. **

= (5+3)/8

= 8/8

= 1

**h) 3/5 + 4/5**

**Ans. **

= (3+4)/5

= 7/5

**i) 1- 2/3 (1= 3/3)
Ans. **

= 3/3 − 2/3

= (3−2)/3

= 1/3

**j) 1/4 + 0/4**

Ans.

Ans.

= (1+0)/(4 )

= ( 1)/4

**k) 0/2 + 0/2**

Ans.

Ans.

= (0+0)/2

= 0/2 = 0

**l) 16/5 − 7/5**

Ans.

Ans.

= (16−7)/5

= 9/5

**m) 2 1/3 − 12/3**

Ans.

Ans.

= (2×3+1)/3 – (1×3+2)/3

= 7/(3 ) − 5/3

= 2/3

**n) 3 −12/5**

Ans.

Ans.

= 15/5 − 12/5

= 3/5

**4). 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?**

**Ans.**

Fraction of wall painted by Shubham = 2/3

Fraction of wall painted by Madhavi = 1/3

Total painting done by both = 2/3 + 1/3

= (2+1)/3

= 3/3 = 1

Therefore they painted the complete wall together.

**5). Kamlesh brought 3 1/2 kg sugar whereas Anwar brought 2 1/2 kg of sugar find the total amount of sugar brought by both of them.**

**Ans.**

Sugar brought by Kamlesh = 3 1/2

= (3×2+1)/2

= 7/2

Sugar brought by Anwar = 2 1/2

= (2×2+1)/2

= 5/2

Therefore total amount of sugar brought by them is

= 7/2 + 5/2 = (7+5)/2 = 12/2 = 6 kg

**6). Fill in the missing fraction:**

**a)7/10 − _/10 = 3/10**

**b)8/21 − _ /21 = 5/21**

**c) _ −3/6 = 3/6 **

**d) _ + 5/27 = 12/27**

Ans.

a) 7/10 – 4/10 = 3/10

b) 8/21 – 3/21 = 5/21

c) 6/6 – 3/6 = 3/6

d) 7/27 + 5/27 = 12/27

**7). The teacher taught 3/5 of the book, Mahesh revised 1/5 more on his own how much he still has to revise?**

**Ans. **

Fraction of what teacher taught = 3/5

Fraction of what Mahesh revised = 1/5

Total portion he revised = 3/5 + 1/5 = 4/5

Portion left to revise 1- 4/5 = (1×5)/(1×5) – ( 4×1)/(5×1) = (5-4)/5 = 1/5

8. Javed was given 5/7 of basket of oranges. What fraction of oranges has left in the basket?

Ans. Oranges given to Javed = 5/7

Fraction of oranges left = 1- 5/7

= 7/7 – 5/7 = (7-5)/7 = 2/7

The fraction of oranges left in the basket is 2/7