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Question
Evaluate:
`3/8 + (-5)/12 + 3/7 + 3/12 + (-5)/8 + (-2)/7`
Solution
`= (3/8 - 5/8) + ((-5)/12 + 3/12) + (3/7 - 2/7)`
`= (-2)/8 - 2/12 + 1/7`
`= (-1)/4 - 1/6 + 1/7`
| 2 | 4, 6, 7 |
| 2 | 2, 3, 7 |
| 3 | 1, 3, 7 |
| 7 | 1, 1, 7 |
| 1, 1, 1 |
(LCM of 4, 6 and 7 = 2 x 2 x 3 x 7 = 84)
`= (-1xx21)/(4xx21) - (1xx14)/(6xx14) + (1xx12)/(7xx12)`
(LCM of 4, 6 and 7 = 84)
`= (-21 - 14 + 12)/84`
`= (-35 + 12)/84 = (-23)/84`
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