To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can first combine like terms.
The like terms are the terms that have the same variables to the same power, in this case, c and d.
The numerical coefficients of c are 6/7 and -1/2. We can add them together:
6/7c - 1/2c = (6/7 - 1/2)c
We can simplify (6/7 - 1/2) by finding a common denominator:
(6/7 - 1/2) = (12/14 - 7/14) = 5/14
Therefore, the expression becomes:
(5/14)c - 5/9d + 1/3d
Now we can combine the d terms:
- 5/9d + 1/3d = (-5/9 + 3/9)d = -2/9d
So, the simplified expression is:
(5/14)c - 2/9d
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.(1 point)
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