Question

Find: `3/7 + ((-6)/11) + ((-8)/21) + (5/22)`.

Answer 1

`3/7 + ((-6)/11) + ((-8)/21) + (5/22)`.

`= 198/462 + ((-252)/462) + ((-176)/462) + (105/462)`  .....(462 is the LCM 7, 11, 21, and 22)

`= (198 - 252 - 176 + 105)/(462)`

`= (-125)/462`.

Answer 2

`3/7 + ((-6)/11) + ((-8)/21) + (5/22)`.

`= [3/7 + ((-8)/21)] + [(-6)/11 + 5/22]`          .....(by using commutativity and associativity)

`= [(9 + (-8))/21] + [(-12 + 5)/22]`                .....(LCM of 7 and 21 is 21; LCM of 11 and 22 is 22)

`= 1/21 + ((-7)/22)`

`= (22 - 147)/462`

`= (-125)/462`.