Simplify 6/7c − 5/9d − 1/2 c + 1/3d .(1 point)
Responses
5/9c − 4/12d = 5/9c −1/3d
5/14c + 2/9d
5/14c − 2/9d
5/9c + 4/12d = 5/9c +1/3d
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms:
First, let's combine the c terms: 6/7c - 1/2c = (12/14)c - (7/14)c = (5/14)c
Next, let's combine the d terms: -5/9d + 1/3d = (-15/27)d + (9/27)d = (-6/27)d = (-2/9)d
Now we have (5/14)c - (2/9)d, so the simplified expression is:
5/14c - 2/9d
Therefore, the correct answer is option C: 5/14c - 2/9d.