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Question
Which rational numbers should be added to `(-7)/8` to get `5/9`?
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Solution
Required rationa number = `5/9 - ((-7)/8)`
`= 5/9 + 7/8`
| 2 | 9, 8 |
| 2 | 9, 4 |
| 2 | 9, 2 |
| 3 | 9, 1 |
| 3 | 3, 1 |
| 1, 1 |
`therefore` LCM of 9 and 8 = 2 x 2 x 2 x 3 x 3 = 72
`= (5xx8)/(9xx8) + (7xx9)/(8xx9)`
LCM of 9 and 8 = 72
`= 40/72 + 63/72`
`= (40 + 63)/72 = 103/72 = 1 31/72`
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