Simplify 6/7c − 5/9d − 1/2 c + 1/3d
To simplify the expression, we need to combine like terms.
We have:
(6/7c) - (5/9d) - (1/2)c + (1/3)d
We can rewrite this as:
(6/7c) - (1/2)c - (5/9d) + (1/3)d
Now, let's get a common denominator for the coefficients of c and d. The least common multiple of 7 and 2 is 14, and the least common multiple of 9 and 3 is 9. Therefore, we can rewrite the expression as:
(12/14c) - (7/14c) - (10/9d) + (3/9d)
Combining like terms, we have:
(12/14c - 7/14c) - (10/9d - 3/9d)
Simplifying further, we get:
(5/14c) - (7/9d)
no, it is wrong
it 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 combine the terms with 'c' in them: 6/7c - 1/2c. To add or subtract fractions, we need a common denominator. The common denominator for 7 and 2 is 14. Therefore, we need to convert 6/7 to have a denominator of 14, and 1/2 to have a denominator of 14.
To convert 6/7 to have a denominator of 14, we multiply both the numerator and the denominator by 2:
(6/7)(2/2) = 12/14
To convert 1/2 to have a denominator of 14, we multiply both the numerator and the denominator by 7:
(1/2)(7/7) = 7/14
Now we can combine the terms with 'c':
12/14c - 7/14c = (12 - 7)/14c = 5/14c
Next, let's combine the terms with 'd' in them: -5/9d + 1/3d. To add or subtract fractions, we need a common denominator. The common denominator for 9 and 3 is 9. Therefore, we need to convert -5/9 to have a denominator of 9, and 1/3 to have a denominator of 9.
To convert -5/9 to have a denominator of 9, we multiply both the numerator and the denominator by 1:
(-5/9)(1/1) = -5/9
To convert 1/3 to have a denominator of 9, we multiply both the numerator and the denominator by 3:
(1/3)(3/3) = 3/9
Now we can combine the terms with 'd':
-5/9 + 3/9 = (-5 + 3)/9 = -2/9
Finally, we can write the simplified expression:
5/14c - 2/9d
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 = (6/7 - 1/2)c
To combine fractions, we need to find a common denominator. The least common multiple of 7 and 2 is 14.
So, (6/7 - 1/2)c = (12/14 - 7/14)c = (5/14)c
Now, let's combine the terms with "d":
-5/9d + 1/3d = (-5/9 + 3/9)d = (-2/9)d
Now that we have combined like terms, we can rewrite the expression as:
(5/14)c - (2/9)d
Therefore, the simplified expression is (5/14)c - (2/9)d.