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Question
What rational number should be added to `- 3/16` to get `11/24`
Sum
Solution
Sum of two numbers = `11/24`
One number = `- 3/16`
∴ The required number = `11/24 - ((-3)/16) => 11/24 + 3/16`
| 2 | 24,16 |
| 2 | 12, 8 |
| 2 | 6, 4 |
| 2 | 3, 2 |
| 3 | 3, 1 |
| 1 |
L.C.M. of 16 and 24 = 2 × 2 × 2 × 2 × 3 = 48
(∵ L.C.M. of 24, 16 = 48)
`= (11 xx 2)/(24 xx 2) - (3 xx 3)/(16 xx 3)`
`= (22 + 9)/48 = 31/48`
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