Question
Simplify 6/7c − 5/9d − 1/2 c + 1/3d .(1 point)
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Answer
Expand −5(2q + 8) .(1 point)
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GPT 3.5
To simplify the given expression, we can combine like terms with the same variables.
The terms with the variable "c" are 6/7c and -1/2c. Simplifying this gives us: (6/7 - 1/2)c
To find a common denominator, we notice that the common denominator for 7 and 2 is 14. So, we convert the fractions to have a denominator of 14:
(6/7 - 1/2)c = (12/14 - 7/14)c = (5/14)c
Now, let's simplify the terms with the variable "d", which are -5/9d and 1/3d:
-5/9d + 1/3d = (-5/9 + 3/9)d = (-2/9)d
Therefore, the simplified expression is:
(5/14)c - (2/9)d
The terms with the variable "c" are 6/7c and -1/2c. Simplifying this gives us: (6/7 - 1/2)c
To find a common denominator, we notice that the common denominator for 7 and 2 is 14. So, we convert the fractions to have a denominator of 14:
(6/7 - 1/2)c = (12/14 - 7/14)c = (5/14)c
Now, let's simplify the terms with the variable "d", which are -5/9d and 1/3d:
-5/9d + 1/3d = (-5/9 + 3/9)d = (-2/9)d
Therefore, the simplified expression is:
(5/14)c - (2/9)d
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