Simplify 6/7c -5/9d-1/2c+1/3d
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms.
First, let's combine the terms with "c": 6/7c - 1/2c = (12/14)c - (7/14)c = (12 - 7)/14c = 5/14c.
Next, let's combine the terms with "d": -5/9d + 1/3d = (-15/27)d + (9/27)d = (-15 + 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 can combine the like terms.
First, let's combine the terms with "c":
6/7c - 1/2c
To combine these fractions, we need to find a common denominator. The common denominator between 7 and 2 is 14. So, we rewrite 6/7c and 1/2c with denominators of 14:
(6/7c) x (2/2) = 12/14c
(1/2c) x (7/7) = 7/14c
Now, we can combine them:
12/14c - 7/14c = (12 - 7)/14c = 5/14c
Next, let's combine the terms with "d":
-5/9d + 1/3d
To combine these fractions, we need to find a common denominator. The common denominator between 9 and 3 is 9. So, we rewrite -5/9d and 1/3d with denominators of 9:
(-5/9d) x (1/1) = -5/9d
(1/3d) x (3/3) = 3/9d
Now, we can combine them:
-5/9d + 3/9d = (-5 + 3)/9d = -2/9d
Finally, let's combine the two results:
5/14c - 2/9d
We cannot combine these terms further because "c" and "d" are different variables. Therefore, the simplified expression is:
5/14c - 2/9d
To simplify the expression 6/7c -5/9d -1/2c + 1/3d, we can combine like terms.
We have terms with c and terms with d.
The terms with the variable c are 6/7c and -1/2c. To combine these terms, we need to find a common denominator for the coefficients 7 and 2.
The least common multiple (LCM) of 7 and 2 is 14. So, we can rewrite the terms with c using the common denominator of 14:
(6/7c) = (6/7) * (c/1) = (6/7) * (c/1) * (2/2) = (12c/14)
(-1/2c) = (-1/2) * (c/1) = (-1/2) * (c/1) * (7/7) = (-7c/14)
Now, let's simplify the terms with d.
The terms with the variable d are -5/9d and 1/3d. To combine these terms, we need to find a common denominator for the coefficients 9 and 3.
The LCM of 9 and 3 is 9. So, we can rewrite the terms with d using the common denominator of 9:
(-5/9d) = (-5/9) * (d/1) = (-5/9) * (d/1) * (1/1) = (-5d/9)
(1/3d) = (1/3) * (d/1) = (1/3) * (d/1) * (3/3) = (3d/9)
Now, we can simplify the combined expression by putting together the simplified terms:
(12c/14) - (7c/14) - (5d/9) + (3d/9)
Since the denominators of these terms are already the same, we can combine the numerators:
(12c - 7c) / 14 - (5d + 3d) / 9
Simplifying further, we have:
5c / 14 - 8d / 9
And that's the simplified form of the expression 6/7c - 5/9d - 1/2c + 1/3d.