Question

Add, the pair of rational numbers, given below, and show that their addition (sum) is also a rational number

`5/(-26) "and" 8/39`

Answer 1

`5/(-26) +  8/39`

`= (-5xx3)/(26xx3) + (8xx2)/(39xx2)`

2	26, 39
3	13, 39
13	13, 13
	1, 1

`therefore` LCM of 26 and 39 = 2 x 3 x 13 = 78

`= (-15 + 16)/78`  (LCM of 26 and 39 = 78)

`= 1/78`

Which is a rational number.