Make three equivalent fractions of the following. (i) 3/4(ii) 1/3 (i

1.	Make three equivalent fractions of the following. (i) 3/4(ii) 1/3 (iii) 2/7
Answer» On making three equivalent fractions of given fractions – (i) First equivalent fraction of 3/4 = (3/4) × (2/2) = 6/8 Second equivalent fraction of 3/4 = (3/4) × (3/3) = 9/12 Third equivalent fraction of 3/4 = (3/4) × (4/4) = 12/16 Thus three equivalent fractions of 3/4 are 6/8, 9/12 and 12/16 (ii) First equivalent fraction of 1/3 = (1/3) × (2/2) = 2/6 Second equivalent fraction of 1/3 = (1/3) × (3/3) = 3/9 Third equivalent fraction of 1/3 = (1/3) × (4/4) = 4/12 Thus, three equivalent fraction of 1/3 are 2/6, 3/9 and 4/12 (iii) First equivalent fraction of 2/7 = (2/7) × (2/2) = 4/14 Second equivalent fraction of 2/7 = (2/7) × (3/3) = 6/21 Third equivalent fraction of 2/7 = (2/7) × (4/4) = 8/28 Thus, three equivalent fractions of 2/7 are 4/14, 6/21 and 8/28

Make three equivalent fractions of the following. (i) 3/4(ii) 1/3 (iii) 2/7

Answer»

On making three equivalent fractions of given fractions –

(i) First equivalent fraction of 3/4 = (3/4) × (2/2) = 6/8

Second equivalent fraction of 3/4 = (3/4) × (3/3) = 9/12

Third equivalent fraction of 3/4 = (3/4) × (4/4) = 12/16

Thus three equivalent fractions of 3/4 are 6/8, 9/12 and 12/16

(ii) First equivalent fraction of 1/3 = (1/3) × (2/2) = 2/6

Second equivalent fraction of 1/3 = (1/3) × (3/3) = 3/9

Third equivalent fraction of 1/3 = (1/3) × (4/4) = 4/12

Thus, three equivalent fraction of 1/3 are 2/6, 3/9 and 4/12

(iii) First equivalent fraction of 2/7 = (2/7) × (2/2) = 4/14

Second equivalent fraction of 2/7 = (2/7) × (3/3) = 6/21

Third equivalent fraction of 2/7 = (2/7) × (4/4) = 8/28

Thus, three equivalent fractions of 2/7 are 4/14, 6/21 and 8/28