simplify 6/7c - 5/9d - 1/2c+1/3d
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.
First, let's combine the terms with variables c:
6/7c - 1/2c
To add these terms, we need a common denominator, which is 14.
(6/7c)(2/2) - (1/2c)(7/7)
(12/14c) - (7/14c)
Now we can subtract the fractions:
(12 - 7)/(14c)
5/14c
Next, let's combine the terms with variables d:
-5/9d + 1/3d
To add these terms, we need a common denominator, which is 9.
(-5/9d)(1/1) + (1/3d)(3/3)
(-5/9d) + (3/9d)
Now we can add the fractions:
(-5 + 3)/(9d)
-2/9d
Finally, let's combine the terms with variables c and d:
5/14c - 2/9d
These terms cannot be combined further since they have different variables.
Therefore, the simplified expression is 5/14c - 2/9d.