Question

Which expression represents the sum of 2/3m - 1 1/6 and 5/6m - 1 1/3?

Answer 1

(3/2)m - 11/2

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