**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