1.

Simplify:(i) (3/10) ÷ (10/3)(ii) 4 (3/5) ÷ (4/5)(iii) 5 (4/7) ÷ 1 (3/10)(iv) 4 ÷ 2 (2/5)

Answer»

(i) Given (3/10) ÷ (10/3)

= (3 × 3)/ (10 × 10)

= (9/100)

(ii) Given 4 (3/5) ÷ (4/5)

First convert the given mixed fractions into improper fraction

4 (3/5) = (23/5)

(23/5) ÷ (4/5) = (23 × 5)/ (5 × 4)

= (23/4)

= 5 (3/4)

(iii) Given 5 (4/7) ÷ 1 (3/10)

First convert the given mixed fractions into improper fraction

(39/7) and (13/10)

(39/7) ÷ (13/10) = (39 × 10)/ (7 × 13)

= (390/91)

= (30/7)

= 4 (2/7)

(iv) Given 4 ÷ 2 (2/5)

First convert the given mixed fractions into improper fraction

2 (2/5) = (12/5)

4 ÷ (12/5) = (4 × 5)/12

= (20/12)

= 1 (2/3)



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