Question

Add pair of rational numbers, given below, and show that their additions (sum) is also a rational
number 7
15
and 3
5
.

Answer 1

Step-by-step explanation:

(i) -5/8 and 3/8

= -5/8 + 3/8 (∵ Denominators are same, ∴ LCM = 8)

= (-5 + 3)/8

= -2/8 = -1/4

Which is a rational number.

(ii) -8/13 and -4/13

= -8/13 + (-4/13) (∵LCM of 13 and 13 = 13)

= (-8 -4)/13 = -12/13

Which is a rational number.

(iii) 6/11 and -9/11

= 6/11 + (-9/11) (∵ Denominators are same, ∴ LCM = 11)

= (6 – 9)/11 = -3/11

Which is a rational number.

(iv) 5/-26 and 8/39

= 5/-26 + 8/39

= (-5 × 3)/26 × 3 + (8 × 2)/39 × 2

∵ LCM of 26 and 39 = 2 × 3 × 13 = 78

= (-15 + 16)/78

(∵ LCM of 26 and 39 = 78)

= 1/78

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