## Chapter 2 Fractions and Decimals Exercise 2.7

**Question 1: Find:(i) 0.4 ÷ 2Answer:**

= 4/10 ÷ 2

= 4/10 × 1/2

= 4/20

= 2/10

= 0.2

**(ii) 0.35 ÷ 5**

Answer:

Answer:

= 35/100 ÷ 5

= 35/100 × 1/5

= 35/500

= 7/100

= 0.07

(iii) 2.48 ÷ 4

Answer:

(iii) 2.48 ÷ 4

Answer:

= 248/100 ÷ 4

= 248/100 × 1/4

= 248/400

= 62/100

= 0.62

**(iv) 65.4 ÷ 6**

Answer:

Answer:

= 654/10 ÷ 6

= 654/10 × 1/6

= 654/60

= 109/10

= 10.9

**(v) 651.2 ÷ 4**

Answer:

Answer:

= 6512/10 ÷ 4

= 6512/10 × 1/4

= 6512/40

= 1628/10

= 162.8

**(vi) 14.49 ÷ 7**

Answer:

Answer:

= 1449/100 ÷ 7

= 1449/100 × 1/7

= 1449/700

= 207/100

= 2.07

**(vii) 3.96 ÷ 4**

Answer:

Answer:

= 396/100 ÷ 4

= 396/100 × 1/4

= 396/400

= 99/100

= 0.99

**(viii) 0.80 ÷ 5**

Answer:

Answer:

= 80/100 ÷ 5

= 80/100 × 1/5

= 80/500

= 16/100

= 0.16

**Question 2: Find:**

(i) 4.8 ÷ 10

Answer:

(i) 4.8 ÷ 10

Answer:

= 4.8 ÷ 10

= 4.8/10

= 0.48

**(ii) 52.5 ÷ 10**

Answer:

Answer:

= 52.5 ÷ 10

= 52.5/10

= 5.25

**(iii) 0.7 ÷ 10**

Answer:

Answer:

= 0.7 ÷ 10

= (0.7/10)

= 0.07

**(iv) 33.1 ÷ 10**

Answer:

Answer:

= 33.1 ÷ 10

= 33.1/10

= 3.31

**(v) 272.23 ÷ 10**

Answer:

Answer:

= 272.23 ÷ 10

= 272.23/10

= 27.223

**(vi) 0.56 ÷ 10**

Answer:

Answer:

= 0.56 ÷ 10

= 0.56/10

= 0.056

**(vii) 3.97 ÷10**

Answer:

Answer:

= 3.97 ÷ 10

= 3.97/10

= 0.397

**Question 3: Find:**

(i) 2.7 ÷ 100

Answer:

(i) 2.7 ÷ 100

Answer:

= 2.7 ÷ 100

= 2.7/100

= 0.027

**(ii) 0.3 ÷ 100**

Answer:

Answer:

= 0.3 ÷ 100

= 0.3/100

= 0.003

**(iii) 0.78 ÷ 100**

Answer:

Answer:

= 0.78 ÷ 100

= 0.78/100

= 0.0078

**(iv) 432.6 ÷ 100**

Answer:

Answer:

= 432.6 ÷ 100

= 432.6/100

= 4.326

**(v) 23.6 ÷100**

Answer:

Answer:

= 23.6 ÷ 100

= 23.6/100

= 0.236

(vi) 98.53 ÷ 100

Answer:

(vi) 98.53 ÷ 100

Answer:

= 98.53 ÷ 100

= 98.53/100

= 0.9853

**Question 4: Find:**

(i) 7.9 ÷ 1000

Answer:

(i) 7.9 ÷ 1000

Answer:

= 7.9 ÷ 1000

= 7.9/1000

= 0.0079

**(ii) 26.3 ÷ 1000**

Answer:

Answer:

= 26.3 ÷ 1000

= 26.3/1000

= 0.0263

**(iii) 38.53 ÷ 1000**

Answer:

Answer:

= 38.53 ÷ 1000

= 38.53/1000

= 0.03853

**(iv) 128.9 ÷ 1000**

Answer:

Answer:

= 128.9 ÷ 1000

= 128.9/1000

= 0.1289

**(v) 0.5 ÷ 1000**

Answer:

Answer:

= 0.5 ÷ 1000

= 0.5/1000

= 0.0005

**Question 5: Find:**

(i) 7 ÷ 3.5

Answer:

(i) 7 ÷ 3.5

Answer:

= 7 ÷ 35/10

= 7 × 10/35

= 1 × 10/5

= 2

**(ii) 36 ÷ 0.2**

Answer:

Answer:

= 36 ÷ 2/10

= 36 × 10/2

= 18 × 10

= 180

**(iii) 3.25 ÷ 0.5**

Answer:

Answer:

= 325/100 ÷ 5/10

= 325/100 × 10/5

= 325 × 10/100 × 5

= 65 × 1/10 × 1

= 65/10

= 6.5

**(iv) 30.94 ÷ 0.7**

Answer:

Answer:

= 3094/100 ÷ 7/10

= 3094/100 × 10/7

= 3094 × 10/100 × 7

= 442 × 1/10 × 1

= 442/10

= 44.2

**(v) 0.5 ÷ 0.25**

Answer:

Answer:

= 5/10 ÷ 25/100

= 5/10 × 100/25

= 5 × 100/10 × 25

= 1 × 10/1 × 5

= 10/5

= 2

**(vi) 7.75 ÷ 0.25**

Answer:

Answer:

= 775/100 ÷ 25/100

= 775/100 × 100/25

= 775 × 100/100 × 25

= 155 × 1/1 × 5

= 31 × 1/1 × 1

= 31

**(vii) 76.5 ÷ 0.15**

Answer:

Answer:

= 765/10 ÷ 15/100

= 765/10 × 100/15

= 765 × 100/10 × 15

= 51 × 10/1 × 1

= 510

**(viii) 37.8 ÷ 1.4**

Answer:

Answer:

= 378/10 ÷ 14/10

= 378/10 × 10/14

= 378 × 10/10 × 14

= 27 × 1/1 × 1

= 27

**(ix) 2.73 ÷ 1.3**

Answer:

Answer:

= 273/100 ÷ 13/10

= 273/100 × 10/13

= 273 × 10)/100 × 13

= 21 × 1/10 × 1

= 21/10

= 2.1

**Question 6: A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?**

Answer:

Answer:

Total distance covered by vehicle in 2.4 litres of petrol = 43.2 km

Distance covered in 1 litre of petrol = 43.2 ÷ 2.4

= 432/10 ÷ 24/10

= 432/10 × 10/24

= 432 × 10/10 × 24

= 36 × 1/1 × 2

= 18 × 1/1 × 1

= 18 km

Therefore, total distance covered in 1 litre of petrol is 18 km.

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