Simplify 6/7c − 5/9d − 1/2 c + 1/3d.
To simplify the expression, we can combine like terms.
First, we combine the terms with "c" together: 6/7c - 1/2 c = (12/14)(c) - (7/14)(c) = (5/14)(c).
Next, we combine the terms with "d" together: -5/9d + 1/3d = -(15/27)(d) + (9/27)(d) = (-6/27)(d) = -2/9(d).
So the simplified expression is (5/14)c - 2/9d.
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms.
Step 1: Combine the terms with the same variable, c.
6/7c - 1/2c can be written as (12/14c - 7/14c) which simplifies to 5/14c.
Step 2: Combine the terms with the same variable, d.
-5/9d + 1/3d can be written as (-15/27d + 9/27d) which simplifies to -6/27d.
Putting it all together, the simplified expression is:
5/14c - 6/27d.
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.
First, let's look at the terms involving 'c': 6/7c - 1/2c. To combine these terms, we need to find a common denominator for the coefficients of 'c', which is 7 and 2. The least common multiple (LCM) of 7 and 2 is 14, so we can rewrite the expression as:
(6/7)*c - (1/2)*c = (12/14)*c - (7/14)*c
Now let's simplify the coefficients of 'c':
(12/14)*c - (7/14)*c = (12 - 7)/14*c = 5/14*c
Next, let's look at the terms involving 'd': -5/9d + 1/3d. Similarly, we need to find a common denominator for the coefficients of 'd', which is 9 and 3. The LCM of 9 and 3 is 9, so we can rewrite the expression as:
(-5/9)*d + (1/3)*d = (-5/9)*d + (3/9)*d
Now let's simplify the coefficients of 'd':
(-5/9)*d + (3/9)*d = (-5 + 3)/9*d = -2/9*d
Putting it all together, the simplified expression becomes:
5/14*c - 2/9*d