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Question
Add, the pair of rational numbers, given below, and show that their addition (sum) is also a rational number
`9/(-4) " and" (-3)/8`
Solution
`9/(-4) + (-3)/8`
2 | 4, 8 |
2 | 2, 4 |
2 | 2, 2 |
1, 1 |
LCM of 4 and 8 = 2 x 2 x 2 = 8
`= (-9xx 2)/(4xx2) - (3xx1)/(8xx1)`
(LCM of 4 and 8 = 8)
`= (-18-3)/8 = (-21)/8`
Which is a rational number
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