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Question
Add, the pair of rational numbers, given below, and show that their addition (sum) is also a rational number
`7/(-18) "and" 8/27`
Solution
`7/(-18) + 8/27`
=`(-7xx3)/(18xx3) + (8xx2)/(27xx2)`
| 2 | 18, 27 |
| 3 | 9, 27 |
| 3 | 3, 9 |
| 3 | 1, 3 |
| 1, 1 |
LCM of 18 and 27 = 2 x 3 x 3 x 3 = 54
= `(-21 + 16)/54 = -5/54`
Which is a rational number.
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