Answer:
(3/2)m - 11/2
Step-by-step explanation:
You may find this problem to be easier if you list the two equations vertically:
2/3m - 1 1/6
5/6m - 1 1/3
The LCD of this system is 6. Thus,
2/3m - 1 1/6 → (4/6)m - 11/6
5/6m - 1 1/3 → (5/6)m - 22/6
Sum up each column:
(4/6)m
(5/6)m
-------------
9/6 m
-11/6
-22/6
---------
-33/6
So now the sum of the original quantities is
(9/6)m - 33/6
... which can be reduced to (3/2)m - 11/2
