Simplify 6/7c − 5/9d − 1/2 c + 1/3d .
To simplify this expression, we need to combine like terms.
First, let's combine the terms with c:
6/7c - 1/2c = (12/14c) - (7/14c) = 5/14c
Next, let's combine the terms with d:
-5/9d + 1/3d = (-15/27d) + (9/27d) = -6/27d = -2/9d
Therefore, the simplified expression is: 5/14c - 2/9d.
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.
First, let's group the terms with c together and the terms with d together:
(6/7c - 1/2c) + (-5/9d + 1/3d)
To combine fractions with the same variable, we need to find a common denominator. The common denominator for c is 14 and for d is 9. Let's rewrite the expression:
(12/14c - 7/14c) + (-15/9d + 3/9d)
Simplifying further:
5/14c - 12/9d
To simplify the expression completely, we can also reduce the fractions:
5/14c - 4/3d
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.
First, let's combine the terms containing "c". We have (6/7c - 1/2c). To combine these fractions, we need a common denominator, which in this case would be 14. So, we can rewrite the expression as (12/14c - 7/14c).
Next, let's combine the terms containing "d". We have (-5/9d + 1/3d). To combine these fractions, we also need a common denominator, which in this case would be 9. So, we can rewrite the expression as (-15/27d + 9/27d).
Now we have (12/14c - 7/14c) - (15/27d - 9/27d).
To simplify further, we subtract the fractions:
12/14c - 7/14c is equal to (12 - 7)/14c, which simplifies to 5/14c.
Similarly, (-15/27d + 9/27d) is equal to (-15 + 9)/27d, which simplifies to -6/27d.
Now we can rewrite our expression as:
5/14c - 6/27d.
This is the simplified form of the expression.