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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/(-6) "and" 2/3`
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Solution
`5/(-6) + 2/3`
| 2 | 6, 3 |
| 3 | 3, 3 |
| 1, 1 |
LCM of 6, 3 = 2 × 3 = 6
= `(-5 xx1)/(6xx1) + (2xx2)/(3xx2)`
(LCM of 6 and 3 = 6)
= `(-5+4)/6`
= `(-1)/6`
Which is rational number.
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