Q.5 Find:
(i) (2/5) ÷ (1/2)
(ii) (4/9) ÷ (2/3)
(iii) (3/7) ÷ (8/7)
(iv) \(2\frac{1}{3} \)÷3/5
(v) \(3\frac{1}{2} \)÷8/3
(vi) 2/5 ÷\(1\frac{1}{2} \)
(vii) \(3\frac{1}{5} ÷1\frac{2}{3} \)
(viii)\(2\frac{1}{5} ÷1\frac{1}{5} \)


Answer :

(i) We have,
= (2/5) × reciprocal of 1/2= (2/5) × (2/1)= 4/5
(ii) We have,
= (4/9) × reciprocal of (2/3)= (4/9) × (3/2)=12/18= 2/3
(iii) We have,
= (3/7) × reciprocal of (8/7)= (3/7) × (7/8)=21/56= 3/8
(iv) \(2\frac{1}{3} \)=7/3
= (7/3) × reciprocal of (3/5)= (7/3) × (5/3)= 35/9
(v) \(3\frac{1}{2} \) =7/2
= (7/2) × reciprocal of (8/3)= (7/2) × (3/8)= 21/16
(vi) 2/5 ÷\(1\frac{1}{2} \)=(2/5) × reciprocal of (3/2)
= (2/5) × (2/3)= 4/15
(vii) \(3\frac{1}{5} ÷1\frac{2}{3} \)= (16/5) × reciprocal of (5/3)
= (16/5) × (3/5)= 48/25
(viii)\(2\frac{1}{5} ÷1\frac{1}{5} \)= (11/5) × reciprocal of (6/5)
= (11/5) × (5/6)= 11/6 = \(1\frac{5}{6} \).

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