Question

8. Find equivalent forms of the rational numbers having a common denominator in each
of the following collections of rational numbers.
i) 2/5, 6/13
ii) 1/7, 2/8, 3/14
iii) 5/12, 7/4, 9/60, 11/3

answer -: ??​

Answer 1

Answer:

1) Given rational numbers =2/5, 6/13

LCM of the denominators = 65

2/5 = 2/5×13/13 = 26/65

6/13 = 6/13×5/5 = 30/65

Therefore, the required forms of given rational numbers will be - 26/65 and 30/65

2)Given rational numbers = 1/7, 2/8, 3/14

LCM of the denominators = 7×8 = 56

1/7 = 1/7×8/8 = 8/56

2/8 = 2/8×7/7 = 14/56

3/14 = 3/14×4/4 = 12/56

Therefore, the required forms of given rational numbers will be - 8/56, 14/56 and 12/56.

3)Given rational numbers =5/12, 7/4, 9/60, 11/3

LCM of the denominators = 60

5/12 = 5/12×5/5 = 25/60

7/4 = 7/4×15/15 = 105/60

9/60 = 9/60

11/3 = 11/3×20/20 = 220/60

Therefore, the required forms of given rational numbers will be - 25/60, 105/60, 9/60 and 220/60