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

Answer 1

To simplify 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms.

First, let's combine the terms with "c" and the terms with "d" separately.

For "c" terms: 6/7c - 1/2c
The denominators are 7 and 2. To find the common denominator, we multiply 7 and 2 which is 14. We then adjust the numerators accordingly.
(6/7c)(2/2) - (1/2c)(7/7)
= 12/14c - 7/14c
= (12 - 7)/14c
= 5/14c

For "d" terms: -5/9d + 1/3d
The denominators are 9 and 3. To find the common denominator, we multiply 9 and 3 which is 27. We then adjust the numerators accordingly.
(-5/9d)(3/3) + (1/3d)(9/9)
= -15/27d + 9/27d
= (-15 + 9)/27d
= -6/27d
= -2/9d

Now we can combine the simplified "c" and "d" terms:

5/14c - 2/9d

Therefore, the simplified expression is 5/14c - 2/9d.