Simplify 6/7c − 5/9d − 1/2 c + 1/3d
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine the like terms.
Combining the c terms, we have:
(6/7c - 1/2c) = (12/14c - 7/14c) = 5/14c
Combining the d terms, we have:
(-5/9d + 1/3d) = (-15/27d + 9/27d) = -6/27d = -2/9d
Therefore, the simplified expression is:
5/14c - 2/9d
Simplify 9g−7h−6g + 2h
To simplify the expression 9g - 7h - 6g + 2h, we need to combine the like terms.
Combining the g terms, we have:
(9g - 6g) = 3g
Combining the h terms, we have:
(-7h + 2h) = -5h
Therefore, the simplified expression is:
3g - 5h
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 = (12/14c) - (7/14c) = (12 - 7)/14c = 5/14c
Next, let's combine the terms with "d":
-5/9d + 1/3d = (-15/27d) + (9/27d) = (-15 + 9)/27d = -6/27d
Now, we can put the simplified terms together:
5/14c - 6/27d
This is the simplified form of the expression 6/7c - 5/9d - 1/2c + 1/3d.
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can start by combining the terms with the same variables.
First, let's combine the terms with the variable "c." We have 6/7c - 1/2c. To combine them, we need to find a common denominator for the fractions. The denominators are 7 and 2, so the common denominator is 7 * 2 = 14.
Now, we can rewrite the fractions with the common denominator:
(6/7)(14c) - (1/2)(14c)
Simplifying further:
84c/7 - 7c/2
Next, let's combine the terms with the variable "d." We have -5/9d + 1/3d. The denominators are 9 and 3, so the common denominator is 9 * 3 = 27.
Rewriting the fractions with the common denominator:
(-5/9)(27d) + (1/3)(27d)
Simplifying further:
-135d/9 + 9d/3
Now, we have simplified expressions for the terms involving "c" and "d." Let's combine them:
(84c/7 - 7c/2) + (-135d/9 + 9d/3)
Since we have a mix of positive and negative signs, let's first simplify within each group of parentheses:
84c/7 - 7c/2 = (24c -49c)/14 = -25c/14
-135d/9 + 9d/3 = (-135d + 27d)/9 = -108d/9 = -12d
Now, combining the simplified expressions for "c" and "d," we have:
-25c/14 - 12d
Therefore, the simplified expression is -25c/14 - 12d.