6/7 c- 5/9 d- 1/2 c+ 1/3 d

To simplify the expression, let's combine like terms:

6/7 c - 5/9 d + 1/2 c + 1/3 d

First, let's add the c terms together:

(6/7 c) + (1/2 c) = (12/14 c) + (7/14 c) = 19/14 c

Next, let's add the d terms together:

(-5/9 d) + (1/3 d) = (-15/27 d) + (9/27 d) = -6/27 d

So the simplified expression is:

19/14 c - 6/27 d.