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प्रश्न
For the pair of rational numbers, verify commutative property of addition of rational numbers:
`5/9 "and" 5/-12`
उत्तर
To show that: `5/9 + 5/-12 = 5/-12 + 5/9`
`therefore 5/9 + 5/-12`
| 2 | 9, 12 |
| 2 | 9, 6 |
| 3 | 9, 3 |
| 3 | 3, 1 |
| 1, 1 |
LCM of 9 and 2 x 2 x 3 x 3 = 36
`= (5xx4)/(9xx4) - (5xx3)/(12xx3)`
`= (20-15)/36 = 5/36`
And, `5/-12 + 5/9`
`= (5xx3)/(-12xx3) + (5xx4)/(9xx4)`
`= (-15+20)/36 = 5/36`
`therefore 5/9 + 5/-12 = 5/-12 + 5/9`
This verifies that commutative property for the addition of rational numbers.
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