## Chapter 2 Fractions and Decimals Exercise 2.4

**Question 1: Find:(i) 12 ÷ 3/4Answer:**

= 12 x reciprocal of 3/4

= 12 × 4/3

= 48/3

= 16

**(ii) 14 ÷ (5/6)**

Answer:

Answer:

= 14 × reciprocal of 5/6

= 14 × 6/5

= 84/5

**(iii) 8 ÷ (7/3)**

Answer:

Answer:

= 8 × reciprocal of 7/3

= 8 × 3/7

= 24/7

(iv) 4 ÷ (8/3)

Answer:

(iv) 4 ÷ (8/3)

Answer:

= 4 × reciprocal of 8/3

= 4 × 3/8

= 12/8

= 3/2

**(v) 3 ÷ 2 1/3**

Answer:

Answer:

= 2 1/3 = 7/3

= 3 ÷ 7/3

= 3 × reciprocal of 7/3

= 3 × 3/7

= 9/7

**(vi) 5 ÷ 3 4/7**

Answer:

Answer:

= 3 4/7 = 25/7

= 5 ÷ 25/7

= 5 × reciprocal of 25/7

= 5 × 7/25

= 35/25

= 7/5

**Question 2: Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.**

(i) 3/7

Answer:

(i) 3/7

Answer:

Reciprocal of 3/7 is 7/3

Therefore, it is an improper fraction.

**(ii) 5/8**

Answer:

Answer:

Reciprocal of 5/8 is 8/5

Therefore, it is an improper fraction.

**(iii) 9/7**

Answer:

Answer:

Reciprocal of 9/7 is 7/9

Therefore, it is a proper fraction.

**(iv) 6/5**

Answer:

Answer:

Reciprocal of 6/5 is 5/6

Therefore, it is a proper fraction.

**(v) 12/7**

Answer:

Answer:

Reciprocal of 12/7 is 7/12

Therefore, it is a proper fraction.

**(vi) 1/8**

Answer:

Answer:

Reciprocal of 1/8 is 8/1 or 8

Therefore, it is a whole number.

**(vii) 1/11**

Answer:

Answer:

Reciprocal of 1/11 is 11/1 or 11

Therefore, it is a whole number.

**Question 3: Find:**

(i) (7/3) ÷ 2

Answer:

(i) (7/3) ÷ 2

Answer:

= 7/3 × reciprocal of 2

= 7/3 × 1/2

= 7 × 1/3 × 2

= 7/6

**(ii) (4/9) ÷ 5**

Answer:

Answer:

= 4/9 × reciprocal of 5

= 4/9 × 1/5

= 4 × 1/9 × 5

= 4/45

**(iii) (6/13) ÷ 7**

Answer:

Answer:

= 6/13 × reciprocal of 7

= 6/13 × 1/7

= 6 × 1/13 × 7

= 6/91

**(iv) 4 1/3 ÷ 3**

Answer:

Answer:

= 4 1/3 = 13/3

= 13/3 × reciprocal of 3

= 13/3 × 1/3

= 13 × 1/3 × 3

= 13/9

**(v) 3 1/2 ÷ 4**

Answer:

Answer:

= 3 1/2 = 7/2

= 7/2 × reciprocal of 4

= 7/2 × 1/4

= 7 × 1/2 × 4

= 7/8

**(vi) 4 3/7 ÷ 7**

Answer:

Answer:

= 4 3/7 = 31/7

= 31/7 × reciprocal of 7

= 31/7 × 1/7

= 31 × 1/7 × 7

= 31/49

**Question 4: Find:**

(i) (2/5) ÷ (1/2)

Answer:

(i) (2/5) ÷ (1/2)

Answer:

= 2/5 × reciprocal of 1/2

= 2/5 × 2/1

= 2 × 2/5 × 1

= 4/5

**(ii) (4/9) ÷ (2/3)**

Answer:

Answer:

= 4/9 × reciprocal of 2/3

= 4/9 × 3/2

= 4 × 3/9 × 2

= 2 × 1/3 × 1

= 2/3

**(iii) (3/7) ÷ (8/7)**

Answer:

Answer:

= 3/7 × reciprocal of 8/7

= 3/7 ×7/8

= 3 × 7/7 × 8

= 3 × 1/1 × 8

= 3/8

**(iv) 2 1/3 ÷ (3/5)**

Answer:

Answer:

= 2 1/3 = 7/3

= 7/3 × reciprocal of 3/5

= 7/3 × 5/3

= 7 × 5/3 × 3

= 35/9

**(v) 3 1/2 ÷ (8/3)**

Answer:

Answer:

= 3 1/2 = 7/2

= 7/2 × reciprocal of 8/3

= 7/2 × 3/8

= 7 × 3/2 × 8

= 21/16

**(vi) (2/5) ÷ 1 1/2**

Answer:

Answer:

= 1 1/2 = 3/2

= 2/5 × reciprocal of 3/2

= 2/5 × 2/3

= 2 × 2/5 × 3

= 4/15

**(vii) 3 1/5 ÷ 1 2/3**

Answer:

Answer:

= 3 1/5 = 16/5

= 1 2/3 = 5/3

= 16/5 × reciprocal of 5/3

= 16/5 × 3/5

= 16 × 3/5 × 5

= 48/25

**(viii) 2 1/5 ÷ 1 1/5**

Answer:

Answer:

= 2 1/5 = 11/5

= 1 1/5= 6/5

= 11/5 × reciprocal of 6/5

= 11/5 × 5/6

= 11 × 5/5 × 6

= 11 × 1/1 × 6

= 11/6

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