Question

Subtract the sum of 5/9 and -2/9 from the sum of 7/12 and -5/12​

Answer 1

`(-1)/(6)`

Explanation:

`Sum \ of \ \ (5)/(9) \ and \ (-2)/(9) =(5)/(9) + (-2)/(9) = (5-2)/(9) = \frac {3}{9} = (1)/(3)`

`Sum \ of \ (7)/(12) \ and \ (-5)/(12) = (7)/(12) \ + \ (-5)/(12) = (7-5)/(12) = (2)/(12) = (1)/(6)`

`subtract \ first \ from \ second = (1)/(6) - (1)/(3) = (1 -2)/(6) = (-1)/(6)`

Answer 2

`[(7)/(12) + ( - (5)/(12) )] -[ (5)/(9) + ( - (2)/(9) )] \\ \\ = [ (7)/(12) - (5)/(12) ] - [ (5)/(9) - (2)/(9) ] \\ \\ = [ (7 - 5)/(12) ] - [ (5 - 2)/(9) ] \\ \\ = (2)/(12) - (3)/(9) \\ \\ = \cancel (2)/(12) - \cancel (3)/(9) \\ \\ = (1)/(6) - (1)/(3) \\ \\ = (1 - 2)/(6) \\ \\ = - (1)/(6)`

Hope This Helps You ❤️