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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`
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Solution
`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.
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